Howard E. Haber

Howard Haber
Office	ISB 326
Phone	1-831-459-4228
FAX	1-831-459-5265
Address	Department of Physics University of California 1156 High Street Santa Cruz, CA 95064 USA
Office Hours	Mondays 3--4 pm, and Thursdays 2--3 pm
e-mail	haber@scipp.ucsc.edu
alternate e-mail	haber@ucsc.edu

This is the professional website of Howard Haber, Distinguished Professor of Physics at the University of California, Santa Cruz.

RECENT NEWS

June 10, 2025: My talk entitled RG-stable parameter relations of a scalar field theory in absence of a symmetry, given at the 7th International Workshop on "Higgs as a Probe of New Physics" (HPNP2025) at Osaka University, in Osaka, Japan, has been posted to Section VII of this website.

May 20, 2025: Today, I gave the SCIPP seminar entitled RG-stable parameter relations of a scalar field theory in absence of a symmetry [PDF]

May 15, 2025: My paper in collaboration with Pedro Ferreira, entitled RG-stable parameter relations of a scalar field theory in absence of a symmetry, was published today in The European Physical Journal C. A link to this paper can be found in Section II of the academic website.

The stability of tree-level relations among the parameters of a quantum field theory with respect to renormalization group (RG) running is typically explained by the existence of a symmetry. We have examined a toy model of a quantum field theory of two real scalars in which a tree-level relation among the squared-mass parameters of the scalar potential appears to be RG-stable without the presence of a corresponding underlying symmetry. The stability of this parameter relation with respect to RG running can be explained by complexifying the original scalar field theory. It is then possible to exhibit a symmetry that guarantees the relations of relevant beta functions of squared-mass parameters of the complexified theory. We can then show that the RG-stability of the parameter relations of the original real scalar ﬁeld theory is inherited from the symmetry of the corresponding complexiﬁed theory.

May 1, 2025: My talk entitled Higgs physics at future e⁺e^- colliders, given at the Corfu2025 Workshop on Future Accelerators at Mon-Repos in Corfu, Greece, has been posted to Section VII of this website.

April 15, 2025: My paper in collaboration with Sumit Banik, Guglielmo Coloretti, and Andreas Crivellin, entitled Correlating EDMs and A→γγ in the 2HDM in light of the diphoton excesses at 95 GeV and 152 GeV, was published today in Physical Review D. A link to this paper can be found in Section II of this website.

Correlations between Higgs boson decays to photons with electric dipole moments (EDMs) in two-Higgs-doublet models are examined. It is shown that CP-violating effects in the scalar potential can lead to a sizable branching ratio of A (the mainly CP-odd Higgs boson) to photons via a charged Higgs loop. The same CP-violating interaction also generates non-zero EDMs for the electron, the neutron, and the proton. While the proposed mechanism holds in general, we illustrate it for the cases of m_A= 95 GeV and m_A= 125 GeV. In either case, it is found that the corresponding diphoton excess observed at the LHC can be explained via A→γγ while being consistent with the experimental bound for the electron EDM in regions of parameter space that can be tested with future neutron and proton EDM measurements.

March 28 2025: My paper in collaboration with Sergio Carrolo, Luis Lourenco, and Joao P. Silva, entitled Extending the symmetries of the generalized CP-symmetric 2HDM scalar potential to the Yukawa sector, was posted today on the arXiv. A link to this paper can be found in Section II of this website.

There are only six independent types of symmetry-constrained scalar potentials in the two Higgs doublet model (2HDM). For example, the scalar sector symmetry known as Z₂⊗Π₂, generated by the simultaneous application of two independent symmetries acting on the scalar fields, and the generalized CP symmetry known as GCP2 yield equivalent 2HDM scalar potentials. A similar situation arises for the scalar sector symmetries known as U(1)⊗Π₂ and GCP3, respectively. In this paper, we show that this "degeneracy" remains when the definitions of the corresponding symmetries are extended to the Yukawa sector with three quark generations. Moreover, we find that this result is a peculiarity of a Yukawa sector with three quark generations. In particular, with two quark generations, we find that models based on the extension of Z₂⊗Π₂ to the Yukawa sector are inequivalent with those based on GCP2.

March 13, 2025: My presentation to Physics 205 can be found in Section V of this website.

March 10, 2025: The Santa Cruz Institute for Particle Physics (SCIPP) will be hosting the 32nd International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2025) from August 18--23, 2025. In the tradition of past SUSY Conferences, during the week prior to the main SUSY 2025 conference, SCIPP is hosting the Pre-SUSY School 2025, a week of pedagogical lectures aimed at graduate students and early career postdocs from August 11--15, 2025. The webpages for the SUSY 2025 conference and the Pre-SUSY School are now live.

February 28, 2025: Today I posted a short note to Section VI of the academic website entitled The Hamiltonian of a free Majorana fermion field. In these notes, the quantum Hamiltonian of a free Majorana fermion field in 3+1 spacetime dimensions is expressed as a sum over Fourier modes. The full details of the calculation are provided. The computation is presented first using the four-component spinor formalism. The computation is then repeated using the two-component spinor formalism.

February 18, 2025: My paper in collaboration with Pedro Ferreira, entitled RG-stable parameter relations of a scalar field theory in absence of a symmetry, was posted on the arXiv. A link to this paper can be found in Section II of this website.

The stability of tree-level relations among the parameters of a quantum field theory with respect to renormalization group (RG) running is typically explained by the existence of a symmetry. We have examined a toy model of a quantum field theory of two real scalars in which a tree-level relation among the squared-mass parameters of the scalar potential appears to be RG-stable without the presence of an appropriate underlying symmetry. The stability of this relation with respect to RG running can be explained by complexifying the original scalar field theory. It is then possible to exhibit a symmetry that guarantees the relations of relevant beta functions of squared-mass parameters of the complexified theory. Among these relations, we can identify equations that are algebraically identical to the corresponding equations that guarantee the stability of the relations among the squared-mass parameters of the original real scalar field theory where the symmetry of the complexified theory is no longer present.

December 31, 2024: The 2025 Particle Physics conference schedule has been posted to Section VIII of this website. Although not intended to be comprehensive, it covers many conferences that overlap with my research interests.

December 3, 2024: My paper in collaboration with Sumit Banik, Guglielmo Coloretti, and Andreas Crivellin, entitled Correlating EDMs and A→γγ in the 2HDM in light of the diphoton excesses at 95 GeV and 152 GeV, was posted on the arXiv. A link to this paper can be found in Section II of this website.

The correlations of Higgs decays to photons with electric dipole moments (EDMs) in the CP-violating flavor-aligned two-Higgs-doublet model (2HDM) are examined. In the approximate alignment limit of the 2HDM (favored by the LHC Higgs data), the neutral scalar spectrum consists of a Standard Model (SM)-like Higgs boson and two approximate eigenstates of CP (denoted by the CP-even H and the CP-odd A). Nevertheless, CP-violating effects in the scalar self-couplings may be present such as a coupling of A to a pair of charged scalars H⁺H^-, which can yield (via a loop-induced process) a sizable branching ratio for A→γγ. These CP-violating effects also generate non-zero EDMs for the electron, the neutron and the proton. We examine these correlations for the cases of m_A=95 GeV and m_A=152 GeV where interesting excesses in the diphoton spectrum have been observed at the LHC. These excesses can be explained via the decay of A while being consistent with the experimental bound for the electron EDM in regions of parameter space that can be tested with future neutron and proton EDM measurements.

October 25, 2024: My talk entitled Flavor-nondiagonal neutral Higgs Yukawa couplings revisited, given at the Extended Scalar Sectors From All Angles workshop at CERN, has been posted to Section VII of this website.

September 4, 2024: My paper entitled Explicit form for the most general Lorentz transformation revisited was published in the journal Symmetry. A link to this paper can be found in Section II of this website.

Explicit formuale for the 4x4 Lorentz transformation matrices corresponding to a pure boost and a pure three-dimensional rotation are very well-known. Significantly less well-known is the explicit formula for a general Lorentz transformation with arbitrary boost and rotation parameters. We revisit this more general formula by presenting two different derivations, which are shown to yield the same result. The first derivation evaluates the exponential of a 4x4 matrix by making use of the Lagrange interpolating polynomial. The second derivation exploits the assertion that for two-component spinors η and χ, the spinor product ησ^μχ^† is a Lorentz four-vector. As a result, the formula for a general Lorentz transformation reduces to the computation of the trace of a product of 2x2 matrices.

September 3, 2024: My talk entitled Flavor-nondiagonal neutral Higgs Yukawa couplings revisited, given at the 2024 Workshop on Multi-Higgs Models in Lisbon, Portugal, at the Instituto Superior Técnico, has been posted to Section VII of this website.

August 1, 2024: The 2024 edition of the Review of Particle Physics, published today in Physical Review D, provides a comprehensive review of the field of particle physics and of related areas in cosmology. Topics include Higgs bosons, supersymmetry, big bang nucleosynthesis, probability, statistics, and accelerators and detectors. The latest update of my Supersymmetry Theory review in collaboration with Ben Allanach, which appears in the Review of Particle Physics, can be found in Section III of this website.

June 10, 2024: My talk entitled Classes of complete dark photon models constrained by Z Physics, given at the 31st International Conference on Supersymmetry and Unification of Fundamental Interactions: Theory meets Experiment (SUSY 2024), has been posted to Section VII of this website.

June 5, 2024: My talk entitled Flavor-nondiagonal neutral Higgs Yukawa couplings revisited, given at PLANCK 2024: 26th International Conference from the Planck Scale to the Electroweak Scale, has been posted to Section VII of this website.

Listings of older news items are stored here.

I. Research

The basic themes underlying my research program involve the study of: (i) the dynamics responsible for electroweak symmetry breaking; (ii) the theory and phenomenology of Higgs bosons; (iii) TeV-scale supersymmetry as a framework for incorporating a weakly-coupled Higgs sector; (iv) the phenomenology of signals for new physics beyond the Standard Model at the Large Hadron Collider (LHC) and future colliders; and (v) connections of low-energy phenomena with fundamental scales that lie beyond the TeV scale (e.g. lepton number violation and implications for neutrino masses).

After more then ten years after the discovery of the Higgs boson in 2012 at the Large Hadron Collider (LHC), many properties of this spin-zero particle have been measured. These results have profound implications for the dynamics of electroweak symmetry breaking and the possible structure of new physics that may lie beyond the Standard Model (SM) of particle physics. For example, most approaches to physics beyond the SM include extended Higgs sectors. Present Higgs data suggest that the properties of one of the scalars of the Higgs sector (identified with the observed Higgs boson) must have properties that closely approximate that of the SM Higgs boson. This constraint in turn imposes important constraints on any SM extension. The two-Higgs doublet model (2HDM) is a convenient theoretical laboratory for the study of extended Higgs sectors. Indeed, the two doublet extended Higgs sector is a key component of the simplest supersymmetric extension of the SM.

The theoretical structure and phenomenological profile of the 2HDM has attracted much attention in recent years. Starting with a seminal paper in collaboration with Sacha Davidson published in 2005, my work has advocated the importance of a basis-independent treatment of the 2HDM. During the past few years, I have focused on the relevance of the so-called decoupling and alignment limits of the 2HDM in which one of scalars closely resembles the SM Higgs boson. The basis-independent technology provides a very powerful and simple framework for studying and interpreting these limits.

If new physics beyond the SM emerges at the LHC, it will be essential to develop techniques for measuring new particle interaction strengths at high energy colliders. By detecting relations among various independent couplings, one can ascertain underlying symmetries and distinguish among different theoretical interpretations of the new physics. For example, with sufficient precision, it will be possible to provide convincing evidence for or against a supersymmetric interpretation of new fundamental physics phenomena. A precision Higgs program at the LHC and at a future collider can also provide important clues as to what may lie beyond the Standard Model.

II. Publications

All my profession publications can be found here on the INSPIRE HEP database.

Most of my professional publications since 1992 are stored on the e-print archive hosted by arXiv.org. PDF and Postscript versions of the stored papers can be found here. My top cited publications according to Google Scholar can be found here.

Links to Conference proceedings, 2013--2022:

A natural mechanism for a SM-like Higgs boson in the 2HDM without decoupling
Howard E. Haber. May 17, 2022. 15 pp.
Invited talk at DISCRETE 2020-2021: 7th Symposium on Prospects in the Physics of Discrete Symmetries, November 29--December 3, 2021
Published in PoS(DISCRETE2020-2021)010
Published version: [PDF]
e-Print: arXiv:2205.07578 [hep-ph] | PDF
Detailed record - Cited by 3 records
Approximate Higgs alignment without decoupling
Howard E. Haber. May 15, 2018. 4 pp.
SCIPP 18/03.
Contribution to the Proceedings of the 53th Rencontres de Moriond, QCD Session, 17--24 March 2018
e-Print: arXiv:1805.05754 [hep-ph] | PDF
Detailed record - Cited by 7 records
Future Higgs Studies: A Theorist's Outlook
Howard E. Haber. Jan 8, 2017. 12 pp.
Invited talk at Charged 2016: Prospects for Charged Higgs Discovery at Colliders, 3--6 October 2016
Published in PoS(CHARGED2016)029
Published version: [PDF]
e-Print: arXiv:1701.01922 [hep-ph] | PDF
Detailed record - Cited by 5 records
The Higgs data and the Decoupling Limit
Howard E. Haber. Dec 31, 2013. 15 pp.
SCIPP-13-15.
Published in the Proceedings of the Toyama International Workshop on Higgs as a Probe of New Physics 2013 (HPNP2013) on eConf
e-Print: arXiv:1401.0152 [hep-ph] | PDF
Detailed record - Cited by 64 records

Articles on the Higgs boson meant for a broader audience can be found below.

Higgs Boson Physics -- The View Ahead
Howard E. Haber (UC, Santa Cruz). Oct 4, 2022. 8 pp.
Published in the September 2022 issue of the CERN EP Newsletter of the EP department
URL: https://ep-news.web.cern.ch/content/higgs-boson-physics-view-ahead

Viewpoint: Higgs Decay into Bottom Quarks Seen at Last
Howard E. Haber (UC, Santa Cruz). Sept 2018.
Published in Physics 11 (2018) 91
DOI: 10.1103/Physics.11.91
Published version: [PDF]

Viewpoint: Homing in on the Higgs Boson
Howard E. Haber (UC, Santa Cruz). Mar 2012.
Published in Physics 5 (2012) 32
DOI: 10.1103/Physics.5.32
Published version: [PDF]
References | BibTeX | LaTeX(US) | LaTeX(EU) | Harvmac | EndNote
Journal Server - Physics

Detailed record

The Higgs boson explained in 60 seconds
Howard E. Haber (UC, Santa Cruz). Aug. 2006.
Published in Symmetry Magazine, volume 3, issue 6 (August, 2006)
URL: https://www.symmetrymagazine.org/article/august-2006/60-seconds-higgs-boson
Published version: [PDF]

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III. Published Reviews

Supersymmetry, Part I (Theory).
Benjamin C. Allanach (Cambridge U., DAMTP), Howard E. Haber (UC, Santa Cruz). Aug. 2023. 53 pp.
Review of Particle Physics (RPP)
Particle Data Group Collaboration (S. Navas et al.). August 2024. 2382 pp.
Published in Phys. Rev. D 110, 030001 (2024)
DOI: doi.org/10.1103/PhysRevD.110.030001
Published version: [PDF]
Particle Data Group (PDG) webpage: [HTML]
Detailed record - Cited by 1917 records

Higgs-mass predictions in the MSSM and beyond
P. Slavich, S. Heinemeyer, E. Bagnaschi, H. Bahl, M. Goodsell, H.E. Haber, et al. Dec 31, 2020. 83 pp.
DESY 20-229, DESY-20-229, IFT-UAM/CSIC-20-184, FR-PHENO-2020-021, KA-TP-23-2020, MPP-2020-235, KA-TP-23-2020, MPP-2020-235, P3H-20-086, TTK-20-53
Published in Eur.Phys.J. C81 (2021) 450
DOI: 10.1140/epjc/s10052-021-09198-2
Published version: [PDF]
e-Print: arXiv:2012.15629 [hep-ph] | PDF
Detailed record - Cited by 107 records

Supersymmetric Theory and Models
Howard E. Haber, Laurel Stephenson Haskins. Dec 16, 2017. 144 pp.
SCIPP-17-11
Conference: C16-06-06.15, pp. 355--499 Proceedings
Published in Chapter 6 of TASI 2016: Anticipating the Next Discoveries in Particle Physics, edited by Rouven Essig and Ian Low (World Scientific, Singapore, 2018).
DOI: 10.1142/9789813233348_0006
e-Print: arXiv:1712.05926 [hep-ph] | PDF
Detailed record - Cited by 27 records

ILC Higgs White Paper
D.M. Asner, T. Barklow, C. Calancha, K. Fujii, N. Graf, H.E. Haber, A. Ishikawa, S. Kanemura, S. Kawada, M. Kurata et al.. Oct 23, 2013. 152 pp.
e-Print: arXiv:1310.0763 [hep-ph] | PDF
Detailed record - Cited by 414 records

Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model.
P.M. Ferreira (Lisbon, ISEL & Lisbon, IST), Howard E. Haber (UC, Santa Cruz), M. Maniatis (Heidelberg U.), O. Nachtmann (Heidelberg U.), Joao P. Silva (Lisbon, ISEL & Lisbon, IST). Oct 2010. 31 pp.
SCIPP-10-15, HD-THEP-10-1.
Published in Int.J.Mod.Phys. A26 (2011) 769-808
DOI: 10.1142/S0217751X11051494
Published version: [PDF]
e-Print: arXiv:1010.0935 [hep-ph]
Detailed record - Cited by 67 records

Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry.
Herbi K. Dreiner, Howard E. Haber, Stephen P. Martin. Dec 2008. 246 pp.
BN-TH-2008-12, SCIPP-08-08.
Published in Phys.Rept. 494 (2010) 1-196
DOI: 10.1016/j.physrep.2010.05.002
Published version: [PDF]
Corrected version of the published review with a few enhancements, with the mostly minus metric [PDF]
Corrected version of the published review with a few enhancements, with the mostly plus metric [PDF]
e-Print: arXiv:0812.1594 [hep-ph]
Detailed record - Cited by 610 records

Webpage for Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry, maintained by Stephen P. Martin. Both the arXiv version and the Physics Reports version use the spacetime metric signature (+1,-1,-1,-1), as is found for example in the field theory textbooks by Ramond, and by Peskin and Schroeder . However, many people including one of the authors (S.P. Martin) prefer the metric signature (-1, +1, +1, +1), as is found for example in the textbooks by Weinberg, by Wess and Bagger, by Srednicki, and in Martin's Supersymmetry Primer. Here is a PDF file of v6 of our review with the (-1, +1, +1, +1) metric convention, which should be identical in content in every other respect: DHMspinors_v6.pdf.

Both the (+1,-1,-1,-1) and the (-1, +1, +1, +1) metric versions were made from the same source files available from the arXiv. The choice of metric signature is implemented by simply changing a single character in the main LaTeX source file, namely the argument of line 20, with \def\signofmetric{0} corresponding to the (+1,-1,-1,-1) metric and \def\signofmetric{1} to the (-1, +1, +1, +1) metric. Note that the pdf file is produced with pdflatex.

The list of known corrections to the Physics Reports version as of May 2022 is here: DHM_corr_PhysicsReports.pdf.

These corrections have all been implemented (along with some additional enhancements) and can be found in version 6 of arXiv:0812.1594 (313 pages, May 2022). Any subsequent corrections to version 6 of arXiv:0812.1594 will be posted on https://www.niu.edu/spmartin/spinors/.

Higgs boson theory and phenomenology.
Marcela Carena (Fermilab), Howard E. Haber (UC, Santa Cruz). Aug 2002. 87 pp.
hep-ph/0208209,FERMILAB-PUB-02-114-T, SCIPP-02-07.
Published in Prog.Part.Nucl.Phys. 50 (2003) 63-152
DOI: 10.1016/S0146-6410(02)00177-1
Published version: [PDF]
e-Print: hep-ph/0208209
Detailed record - Cited by 609 records

Spin formalism and applications to new physics searches.
Howard E. Haber (UC, Santa Cruz & Santa Barbara, KITP). Apr 1994. 83 pp.
hep-ph/9405376, SCIPP-93-49, NSF-ITP-94-30, C93-07-26.
Published in Stanford 1993, Spin structure in high energy processes, pp. 231-272
Presented at Conference: C93-07-26
e-Print: hep-ph/9405376
Postscript and PDF from this website.

Detailed record - Cited by 142 records

Lectures on electroweak symmetry breaking.
Howard E. Haber (UC, Santa Cruz). Mar 1991. 136 pp.
SCIPP-91-06
Invited lectures given at Conference: C90-06-03 (Boulder TASI 90:340-475), p.340-475
PDF from this website.

Detailed record - Cited by 1 record

The Search for Supersymmetry: Probing Physics Beyond the Standard Model.
Howard E. Haber (UC, Santa Cruz & SLAC), Gordon L. Kane (Michigan U.). Jan 1984. 376 pp.
UM-HE-TH-83-17, SCIPP-85-47.
Published in Phys.Rept. 117 (1985) 75-263
DOI: 10.1016/0370-1573(85)90051-1
Published version: [PDF] [Erratum]
Detailed record - Cited by 5533 records

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IV. Published Books

Co-authored books

From Spinors to Supersymmetry.
Herbi K. Dreiner, Howard E. Haber, Stephen P. Martin. Jun 2023. 1009 pp.
Detailed record - Cited by 13 records

Cited by 34 Google Scholar records

Links to From Spinors to Supersymmetry at the Cambridge University Press webpage: [Overview | Hardback | eBook]

Link to Resources and Errata

The book can also be purchased from Amazon via the following link.

The Higgs Hunter's Guide.
John F. Gunion (UC, Davis), Howard E. Haber (UC, Santa Cruz), Gordon L. Kane (Michigan U.), Sally Dawson (Brookhaven). Jun 1989. 404 pp.
SCIPP-89/13, UCD-89-4, BNL-41644.
Published in Front. Phys. 80 (2000) 1-448
Detailed record - Cited by 1315 records

Cited by 5075 Google Scholar records

Link to The Higgs Hunter's Guide at the Perseus Books webpage. See also the Routledge (member of Taylor & Francis Group) webpage.

Errata for The Higgs hunter's guide.
John F. Gunion (UC, Davis), Howard E. Haber (UC, Santa Cruz), Gordon L. Kane (Michigan U.), Sally Dawson (Brookhaven). Dec 1992. 5 pp.
hep-ph/9302272, SCIPP-92-58.
e-Print: hep-ph/9302272

Detailed record - Cited by 192 records TopCite

Edited books

Particle physics and cosmology: The quest for physics beyond the standard model(s). Proceedings, Theoretical Advanced Study Institute, TASI 2002, Boulder, USA, June 3-28, 2002.
H.E. Haber, (ed.) (UC, Santa Cruz), A.E. Nelson, (ed.) (Washington U., Seattle). 2004. 892 pp.
ISBN-9789812388926.
Prepared for Conference: C02-06-02.1 (River Edge, USA: World Scientific (2004) 892 p)
Detailed record - Cited by 2 records

Link to Particle Physics and Cosmology webpage at World Scientific Publishing.

Electroweak symmetry breaking and new physics at the TeV scale.
T.L. Barklow, (ed.) (SLAC), S. Dawson, (ed.) (Brookhaven), H.E. Haber, (ed.) (UC, Santa Cruz), J.L. Siegrist, (ed.) (LBL, Berkeley). 1996.
Published in Singapore, Singapore: World Scientific (1996) 736 p. (Advanced series on directions in high energy physics. 16)
Detailed record - Cited by 3 records

Link to Electroweak Symmetry Breaking and New Physics at the TeV Scale webpage at World Scientific Publishing.

From The Planck Scale To The Weak Scale: Toward A Theory Of The Universe. Proceedings, Theoretical Advanced Study Institute In Elementary Particle Physics, Santa Cruz, Usa, June 23 - July 18, 1986. Vol. 2.
H.E. Haber, (Ed.). 1987.
Published in SINGAPORE, SINGAPORE: WORLD SCIENTIFIC (1987) 497-953
Detailed record

Link to From the Planck Scale to the Weak Scale: Toward a Theory of the Universe webpage at World Scientific Publishing.

From The Planck Scale To The Weak Scale: Toward A Theory Of The Universe. Proceedings, Theoretical Advanced Study Institute In Elementary Particle Physics, Santa Cruz, Usa, June 23 - July 18, 1986. Vol. 1.
H.E. Haber, (Ed.). 1987.
Published in SINGAPORE, SINGAPORE: WORLD SCIENTIFIC (1987) 1-495
Detailed record

Link to From the Planck Scale to the Weak Scale: Toward a Theory of the Universe webpage at World Scientific Publishing.

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V. Teaching

Winter, 2025 Physics 205 Introduction to Research "Research on the Theory of the Terascale" [PDF | Powerpoint]
Winter, 2024 Physics 214 Electromagnetism II
Spring, 2023 Physics 251 Group Theory and Modern Physics
Spring, 2020 Physics 222 Quantum Field Theory III
Fall, 2019 Physics 116A Mathematical Methods in Physics I
Winter, 2018 Physics 215 Introduction to Non-Relativistic Quantum Mechanics
Fall 2016 Physics 217 Quantum Field Theory I
Winter 2016 Physics 218 Quantum Field Theory II
Fall, 2015 Physics 171 General Relativity, Black Holes, and Cosmology
Fall, 2012 Physics 116C Mathematical Methods in Physics III
Spring, 2012 Physics 216 Advanced Topics in Non-Relativistic Quantum Mechanics
Fall, 2009 Physics 139B Quantum Mechanics II
Winter, 2009 Physics 5B Introduction to Physics II
Winter, 2000 Physics 112 Thermodynamics and Statistical Mechanics

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VI. Notes and other writings

The Hamiltonian of a free Majorana fermion ﬁeld [PDF | PS]
Acceleration and Force in Special Relativity [PDF | PS]
Thomas Precession and the BMT equation [PDF | PS]
The tensor spherical harmonics [PDF | PS]
Evaluating integrals arising from Barr-Zee diagrams [PDF | PS]
Exponentiating the Lie algebra of the Lorentz group [PDF | PS]
Rational approximations to ln 2 short version: [PDF | PS]; long version: [PDF | PS]
Generalized Functions for Physics [PDF | PS]
Evaluating the finite part of the Passarino-Veltman function B₀(p²;m₁²,m₂²) [PDF | PS]
Evaluating the one-loop function arising in h→γγ [PDF | PS]
Analytic formulae for the Feynman propagator in coordinate space [PDF | PS]
A Tale of Three Diagonalizations [PDF | PS]
Notes on the Matrix Exponential and Logarithm [PDF | PS]
The characteristic polynomial [PDF | PS]
What is the group of conjugate symplectic matrices? [PDF | PS]
Parameterization of real orthogonal antisymmetric matrices [PDF | PS]
Toward a set of 2HDM benchmarks [PDF | PS]
The eigenvalues of the quadratic Casimir operator and second-order indices of a simple Lie algebra [PDF | PS]
Notes on basis changes and matrix diagonalization [PDF | PS]
Notes on the complex inverse trigonometric and hyperbolic functions and their principal values [PDF | PS]
Electron wave function and mass renormalization in QED [PDF | PS]
Proof of a trace inequality in matrix algebra [PDF | PS]
Notes on the spontaneous breaking of SU(N) and SO(N) via a second-rank tensor multiplet [PDF | PS]
Notes on antisymmetric matrices and the pfaffian [PDF | PS]
Complex representation of scalar fields and the embedding of U(n) in SO(2n) [PDF | PS]
The probability that a product of random numbers is less than a fixed constant [PDF | PS]
Massless Majorana and Weyl fermions cannot be distinguished [PDF | PS]

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VII. Talks at conferences, workshops and schools, 2004--2025

2025 Conferences and workshops

Corfu2025 Workshop on Future Accelerators, at the Corfu Summer School and Workshops on Elementary Particle Physics and Gravity, in Mon-Repos, Corfu, Greece, May 1, 2025 Higgs physics at future e⁺e^- colliders [PDF]

The 7th International Workshop on "Higgs as a Probe of New Physics" (HPNP2025), at Osaka University, in Osaka, Japan, June 10, 2025 RG-stable parameter relations of a scalar field theory in absence of a symmetry [PDF]

2024 Conferences and workshops

Cosmology, Astrophysics, Theory and Collider Higgs 2024 (CATCH22+2), at the Dublin Institute for Advanced Study (DIAS), in Dublin, Ireland, May 1, 2024 Classes of complete dark photon models constrained by Z Physics [PDF]

PLANCK 2024: 26th International Conference from the Planck Scale to the Electroweak Scale, In Lisbon, Portugal, June 5, 2024 Flavor-nondiagonal neutral Higgs Yukawa couplings revisited [PDF]

31st International Conference on Supersymmetry and Unification of Fundamental Interactions: Theory meets Experiment (SUSY 2024), in Madrid, Spain, June 10, 2024 Classes of complete dark photon models constrained by Z Physics [PDF]

2024 Workshop on Multi-Higgs Models, at the Instituto Superior Técnico in Lisbon, Portugal, September 3, 2024 Flavor-nondiagonal neutral Higgs Yukawa couplings revisited [PDF]

Extended scalar sectors from all angles, at CERN in Geneva, Switzerland, October 25, 2024 Flavor-nondiagonal neutral Higgs Yukawa couplings revisited [PDF]

2023 Conferences and workshops

"Herbi Fest"--Pursuing Physics Beyond the Standard Model: a symposium in honor of Herbi Dreiner on the occasion of his 60th birthday, at the Bethe Center for Theoretical Physics, University of Bonn, in Bonn, Germany, March 28, 2023 Adventures from spinors to SUSY [PDF]

International Workshop on Future Linear Colliders (LCWS2023), at SLAC National Accelerator Laboratory in Menlo Park, CA USA, May 17, 2023 P-even, CP-violating Signals in Scalar-Mediated Processes [PDF]

PLANCK 2023: 25th International Conference from the Planck Scale to the Electroweak Scale, at the University of Warsaw in Warsaw, Poland, May 22, 2023 Higgs Boson Physics—The View Ahead [PDF]

Beyond the SM from Colliders to the Early Universe: a symposium in honor of Marcela Carena and Carlos Wagner on the occasion of their 60th birthdays, at the University of Chicago in Chicago, IL USA and at Fermilab in Batavia, IL USA, May 28, 2023 My Journey through Physics with Marcela and Carlos [PDF]

The 6th International Workshop on "Higgs as a Probe of New Physics" (HPNP2023), at Osaka University, in Osaka, Japan, June 5, 2023 Signals of new heavy scalars in the flavor-aligned 2HDM [PDF]

pre-SUSY school 2023, at the University of Southampton, in Southampton, England, July 13, 2023 Supersymmetry and Higgs Physics [PDF]

The XXX International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2023), at the University of Southampton, in Southampton, England, July 21, 2023 Supersymmetry Confronts a SM-Like Higgs Boson [PDF]

Higgs Days at Santander 2023, in Santander, Spain, September 6, 2023 Signals of new heavy scalars in the flavor-aligned 2HDM [PDF]

Scalars 2023, at the University of Warsaw in Warsaw, Poland, September 13, 2023 Scalar revelations at future e⁺e^- colliders [PDF]

2022 Conferences and workshops

The XXIX International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2022), at the University of Ioannina in Ioannina, Greece, June 29, 2022 The anapole moment of a charged lepton in softly-broken Supersymmetric QED [PDF]

Workshop on Multi-Higgs Models , at the Instituto Superior Técnico in Lisbon, Portugal, August 30, 2022 P-even, CP-violating Signals in Scalar-Mediated Processes [PDF]

IDT-WG3-Phys Open Meeting, online via zoom, November 17, 2022 P-even, CP-violating Signals in Scalar-Mediated Processes [PDF]

2021 Conferences and workshops

The 5th International Workshop on "Higgs as a Probe of New Physics Special Edition 2021" (HPNP2021), in Osaka, Japan (held online), March 27, 2021 Exceptional regions of the 2HDM parameter space [PDF]

49th SLAC Summer Institute (SSI 2021), at SLAC, Stanford, CA USA (held online), August 27, 2021 Higgs Boson Physics—The View Ahead [PDF]

Charged Higgs Online Workshop, August 30, 2021 Extended Higgs sector at present and future colliders [PDF]

DISCRETE 2020-2021, December 3, 2021 A natural mechanism for a SM-like Higgs boson in the 2HDM without decoupling [PDF]

Professional talks at conferences and workshops in previous years are stored here.

Schools and Pedagogical Lectures

pre-SUSY school 2023, at the University of Southampton, in Southampton, England, July 13, 2023 Supersymmetry and Higgs Physics [PDF]

49th SLAC Summer Institute (SSI 2021), at SLAC, Stanford, CA USA (held online), August 27, 2021 Higgs Boson Physics—The View Ahead [PDF]

Sorak Symposium reminiscence on Particle Physics, at NakSan Beach Hotel in Yang Yang, South Korea, August 15, 2019 The incomplete and biased history of the Higgsboson [PDF]

Sorak Symposium reminiscence on Particle Physics, at NakSan Beach Hotel in Yang Yang, South Korea, August 15, 2019 Quo Vadis Higgs (or what the current Higgs data is trying to tell us) [PDF]

The 46th SLAC Summer Institute--Standard Model at 50: Successes and Challenges, at SLAC in Stanford, CA USA, August 6, 2018 The woefully incomplete, unabashedly biased history of the Higgs Boson [PDF]

Pre-SUSY 2016, preceding the 24th International Conference on Supersymmetry and Unification of Fundamental Interactions, Melbourne, Australia, 27 June--July 8, 2016 SM and SUSY Higgs [Lecture 1 | Lecture 2 | Lecture 3]

2016 Theoretical Advanced Study Institute (TASI 2016), 6 June--1 July 2016, Supersymmetric Theories and Models [Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4]

The 40th SLAC Summer Institute, The Electroweak Scale: Unraveling the Mysteries at the LHC, 23 July--3 August 2012, Electroweak Symmetry Breaking (EWSB): The Basics [Lecture 1 | Lecture 2]

Idpasc Higgs School, Foz do Arelho, Portugal, 6--9 Sept 2011, Theory of Higgs Bosons: The Standard Model and Beyond [PDF]

The Pre SUSY school, preceding the 18th International Conference on Supersymmetry and Unification of Fundamental Interactions, Bonn, Germany, 19--21 August, 2010, Two-component Spinor Formalism: practical methods for treating Majorana fermions [PDF]

Spaatind 2010: Nordic Conference in Particle Physics Spaatind 2010, Spaatind, Norway, 2--8 January 2010, Introduction to Electroweak Symmetry Breaking [PDF]; Two-component spinor formalism [PDF]

Collider Phenomenology, DESY Theory Workshop, DESY Hamburg, Germany, 29 September--1 October 2009 Introduction to Electroweak Symmetry Breaking [PDF]SMay 19

The CERN--Fermilab 2008 Hadron Collider Physics Summer School, Fermilab, August 12--22, 2008, Higgs Boson Theory and Phenomenology [PDF]

Pre-SUSY 2005, preceding the 13th International Conference on Supersymmetry and Unification of Fundamental Interactions, IPPP Durham, 29 June--July 15, 2005 Practical methods for treating Majorana fermions [PDF]

PSI Zuoz Summer School on Particle Physics, Zuoz, Switzerland, 15--21 August, 2004 Introduction to Supersymmetry [Lecture 1 |Lecture 2| Lecture 3| Lecture 4]

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VIII. 2025 Conferences and workshops in particle physics

9th International Conference on High Energy Particle and Nuclear Physics in the LHC Era (HEPNP2025), January 6--10, 2025 at the Universidad Técnica Federico Santa María (UTFSM) in Valparaíso, Chile.

Linear Collider Vision Community Event 2025, January 8--10, 2025 at CERN in Geneva, Switzerland

DPF/DPB Forum on US contributions to the European Strategy Update, February 27, 2025, held online

The Aspen Winter Conference: Empowering the New Vision in High Energy Physics, March 2--7, 2025 at the Aspen Center for Physics in Aspen, CO USA

Joint March Meeting and April Meeting: APS Global Physics Summit, March 16--21, 2025 in Anaheim, CA USA

59th Rencontres de Moriond--Electroweak Interactions & Unified Theories, March 23--30, 2025 in La Thuile, Italy

The XXXII International Workshop on Deep Inelastic Scattering and Related Subjects (DIS2025), March 24--28, 2025 in Cape Town, South Africa

59th Rencontres de Moriond--QCD & High Energy Interactions, March 30--April 6, 2025 in La Thuile, Italy

Bay Area Particle Theory Seminar (BAPTS), April 4, 2025 at San Francisco State University (SFSU) in San Francisco, CA USA

The 14th KUTS meeting: "Precision SUSY Higgs Mass Calculation Initiative" (KUTS14), April 7--9, 2025 at the University of Freiburg in Freiburg, Germany

3rd Annual US Higgs Factory--Future Circular Collider (HF-FCC) Workshop, April 14--17, 2025, hosted jointly by Fermilab and Argonne National Laboratory

Corfu2025 Workshop on Future Accelerators, April 27--May 4, 2025 at the Corfu Summer School and Workshops on Elementary Particle Physics and Gravity, in Mon-Repos, Corfu, Greece

The 5th European Consortium for Astroparticle Theory (EuCAPT) Symposium, May 5--7, 2025, online

The 13th Annual Large Hadron Collider Physics Conference (LHCP2025), May 5--9, 2025 in Taipei, Taiwan

Higgs Pairs Workshop 2025, May 11--17, 2025 at the Hotel Hermitage, La Biodola, Isola d'Elba

Frontiers Beyond the Standard Model, May 15--17, 2025 at the William I. Fine Theoretical Physics Institute (FTPI) at the University of Minnesota in Minneapolis, MN USA

Phenomenology 2025 Symposium (PHENO 2025), May 19--21, 2025 at the University of Pittsburgh and Carnegie Mellon University in Pittsburgh, PA USA

FCC Week 2025, May 19--23, 2025 at the Vienna Imperial Palace (Wiener Hofburg) in Vienna, Austria

LoopFest XXIII, May 21--23, 2025 at the University of Alberta in Edmonton, Alberta Canada

Bootstrap, Holography & Swampland: Imprint of UV principles on IR physics, May 25--June 15, 2025 at the Aspen Center for Physics in Aspen, CO USA

PLANCK 2025: 27th International Conference from the Planck Scale to the Electroweak Scale, May 26--30, 2025 in Padua, Italy

Fifteenth workshop of the Long-Lived Particle Community (LLP2025), June 2--6, 2025 at the Instituto de Física Corpuscular (IFIC) in València, Spain.

Navigating new horizons: defining the next era of particle physics, June 2--27, 2025 at the Munich Institute for Astro-, Particle and BioPhysics (MIAPbP) in Garching, Germany

Theoretical Advanced Study Institute in ELementary Particle Physics (TASI 2025)--Threads in a Theory Tapestry, June 2--27, 2025 at the University of Colorado in Boulder, CO USA

15th Conference on the Intersections of Particle and Nuclear Physics (CIPANP 2025), June 8--14, 2025 in Madison, Wisconsin USA

The 7th International Workshop on "Higgs as a Probe of New Physics" (HPNP2025), June 9--13, 2025 at Osaka University, in Osaka, Japan

Q+A for the National Academies Report on Elementary Particle Physics, June 12, 2025 at Fermilab in Batavia, IL USA

Collider Physics at the LHC and Beyond, June 15--July 13, 2025 at the Aspen Center for Physics in Aspen, CO USA

The strong CP problem and its possible solutions, June 16--27, 2025 at the Pollica Physics Centre, Castello dei Principi Capano, in Pollica (SA), Italy

Open Symposium on the European Strategy for Particle Physics, June 23--27, 2025 at Lido di Venezia in Venice, Italy

XVII International Conference on Interconnections between Particle Physics and Cosmology (PPC 2025), June 23--28, 2025, hosted by The Institute of Underground Science at SURF, at the Cadillac Jack's Resort in Deadwood, South Dakota, USA

11th Workshop on Flavor Symmetries and Consequences in Accelerators and Cosmology (FLASHY 2025), June 30--July 4, 2025 in Rome, Italy

19th edition of the Dark side of the Universe (DSU) Workshop, July 7--11, 2025 in Montreal, Canada

Multi-Particle Reactions from the Standard Model: spectroscopy, precision tests and beyond, July 14--25, 2025, hosted jointly by UC Berkeley and Lawrence Berkeley National Lab, in Berkeley, CA USA

Higgs Hunting 2025, July 15--17, 2025 at Orsay and Paris, France

XIV International Conference on New Frontiers in Physics (ICNFP 2025), July 17--31, 2025 at the Orthodox Academy of Crete (OAC), Kolymbari, Crete, Greece

Workshop on Multi-Particle Reactions from the Standard Model: spectroscopy, precision tests and beyond, July 28--August 1, 2025 at Lawrence Berkeley National Laboratory in Berkeley, CA USA

53rd SLAC Summer Institute: Pathways to New Physics, July 28--August 8, 2025 at the Stanford Linear Accelerator Center in Menlo Park, CA USA

2nd Annual U.S. Muon Collider Community (USMCC) Meeting, August 7--8, 2025 at the University of Chicago in Chicago, IL USA

Pre-SUSY School 2025, August 11--15, 2025 at the University of California, Santa Cruz in Santa Cruz, CA USA

32nd International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2025), August 18--23, 2025 at the University of California, Santa Cruz in Santa Cruz, CA USA

Twentieth joint CERN-Fermilab Hadron Collider Physics Summer School, August 19--28, 2025 at CERN in Geneva, Switzerland

Workshop on the Standard Model and Beyond, August 24--September 3, 2025 at the Corfu Summer School and Workshops on Elementary Particle Physics and Gravity, in Mon-Repos, Corfu, Greece

32nd International Symposium on Lepton Photon Interactions at High Energies (Lepton Photon 2025), August 25--29, 2025 in Madiscon, WI USA

Corfu2025 Workshop on the Standard Model and Beyond, August 24--September 3, 2025 at the Corfu Summer School and Workshops on Elementary Particle Physics and Gravity, in Mon-Repos, Corfu, Greece

32nd International Symposium on Lepton Photon Interactions at High Energies (Lepton Photon 2025), August 25--29, 2025 in Madiscon, WI USA

The Invisibles Workshop 2025, September 1--5, 2025 at CERN in Geneva, Switzerland

Higgs Days at Santander 2025, September 8--12, 2025 in Santander, Spain

Scalars 2025, September 22--25, 2025 at the University of Warsaw in Warsaw, Poland

HHH Workshop 2025, September 29--October 1, 2025 at IUC Dubrovnik, Croatia

The 17th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR 2025), October 5--10, 2025 at the Empires Hotel in Puri, Odisha, India

Higgs@Capri 2025: First Workshop on the Impact of Higgs Studies on New Theories of Fundamental Interactions, October 6--10, 2025 at Villa Orlandi, Anacapri, Capri Island, Italy

2025 Annual Meeting of the Far West Section of the American Physical Society, October 10--12, 2025 at the University of California, Santa Cruz in Santa Cruz, CA USA

28th International Conference on Particle Physics and Cosmology (COSMO-25), October 13--17, 2025 at Carnegie Mellon University in Pittsburgh, PA USA

SEARCH Conference, October 20--24, 2025 at CERN in Geneva, Switzerland

Linear Collider Workshop (LCWS 2025), October 20--24, 2025 in Valencia, Spain

Higgs 2025, October 27--31, 2025 at Brown University in Providence, RI USA

Georg Fest, November 13, 2025 at DESY in Hamburg, Germany

The 22nd annual workshop of the LHC Higgs Working Group, December 3--5, 2025 at CERN in Geneva, Switzerland

The 15th KUTS meeting: "Precision SUSY Higgs Mass Calculation Initiative" (KUTS15), March 23--26, 2026 at the Karlsruhe Institute of Technology (KIT) in Karlsruhe, Germany

Precision Lepton Physics: a window to new physics, April 7--30, 2026, at the Munich Institute for Astro-, Particle and BioPhysics (MIAPbP) in Garching, Germany

The 2026 APS Division of Particles and Fields (DPF) meeting, July 20--24, 2026 at Fermilab in Batavia, IL USA

Listings of conferences and workshops from previous years are stored here.

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IX. University Service

Faculty Perceptions of a UCSC Research Environment in Need of Restoration and Improvement, a report by Howard E. Haber and David M. Harrington, sponsored by the UCSC Committee on Research and contributed in May, 1998 to the Advisory Report of the Millennium Committee. [HTML]

University Committee on Research Policy (UCORP) 1995--1996 Public web page.

Should UC renew its contract with the Department of Energy (DOE) to manage the Lawrence Livermore National Laboratory and Los Alamos National Laboratory? The following web page documents the 1996 UC systemwide campus debate on this question. A town meeting was held on the UCSC campus on March 7, 1996 to discuss these issues.

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X. Extracurricular Activities

Some of the physics students and I play softball in the UCSC intramural coed softball league. The fall season runs from early October to early December, and the spring season runs from early April to early June.

Our team, called Re-Entry, is sponsored by the STARS organization on campus, which provides support and counseling for returning (or re-entry) students to campus. You can follow our season exploits on the Re-Entry Team Webpage.

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XI. Physics, Math and Computer Links

Book Price comparisons

BookFinder.com book search

CERN links

Future Circular Collider

Large Hadron Collider (LHC)

LHC Physics Centre at CERN

LHC Performance and Statistics

LHC Programme Coordination web pages

ATLAS Online Luminosity [for more details click here]

CMS Online Luminosity [for more details click here]

CERN Physics results

ATLAS Documents

ATLAS Experiment--Public results

ATLAS Higgs Physics results

ATLAS Supersymmetry Physics results

CMS Documents

CMS Physics results

CMS Higgs Physics results

Higgs PAG Summary Plots

CMS Supersymmetry Physics results

Electroweak and Higgs precision observables

LEP Electroweak Working Group

LEP Higgs Working Group

GFITTER

LHC Higgs Cross Section Working Group (HXSWG)

SFitter Higgs coupling analysis

Higgs boson links

Precision SUSY Higgs Mass Calculation Initiative

SM Higgs production cross sections at √s = 13 TeV

SM Higgs Branching Ratios and Total Decay Widths

LHC Higgs Cross Section Working Group Twiki

Heavy Higgs and Beyond Standard Model subgroup of the HXSWG

Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables [Postscript | PDF]

Handbook of LHC Higgs Cross Sections: 2. Differential Distributions [Postscript | PDF]

Handbook of LHC Higgs Cross Sections: 3. Higgs Properties [Postscript | PDF]

Handbook of LHC Higgs Cross Sections: 4. Deciphering the nature of the Higgs sector [PDF]

High Energy Physics links

arXiv preprint server

High Energy Physics Software and Collider Tools

International Linear Collider

American Linear Collider Working Group

International Linear Collider (ILC) homepage

ILC Technical Design Report

CLIC detector and physics study (CLICdp)--WG Physics Potential

Compact Linear Collider (CLIC)

Journals

European Physics Journal C

JHEP

Journal of Mathematical Physics

Nuclear Physics B

Physical Review Online Archive (PROLA)

Physics Letters B

Physics Reports

Mathematics links

Mathematical Association of America

Table of integrals

Meetings and Conferences organized by SCIPP Theory

Howie-Fest-70, February 7, 2022 at the University of California, Santa Cruz, CA USA (held online)

SCIPP Reunion Theory Symposium, April 24, 2015 at the University of California, Santa Cruz

The search for Fundamental Physics: Higgs Bosons & Supersymmetry, A symposium in honor of Michael Dine and Howard Haber on the occasion of their 60th Birthdays, January 4--6, 2013

West Coast LHC Theory meeting, May 21, 2010

Confronting Challenges in Theoretical Physics, A Symposium in Honor of Tom Banks and Willy Fischler on the Occasion of their 60th Birthdays June 15--16, 2009

RADCOR 2000, 5th International Symposium on Radiative Corrections, September 11--15, 2000