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	by appointment
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

March 27, 2021: My talk entitled Exceptional regions of the 2HDM parameter space, given at the 5th International Workshop on "Higgs as a Probe of New Physics" Special Edition 2021 (HPNP2021) hosted by Osaka University in Japan and held online, has been posted to Section VII of this website. The talk discusses some of the exception features of the softly broken GCP2-symmetric 2HDM scalar potential, with some focus on the Higgs alignment limit and the custodial symmetry limit. Implications of the Yukawa sector are addressed at the end of this talk.

March 10, 2021: Today I posted a short note to Section VI of this website entitled Rational approximations to log 2. In this note, a sequence of rational numbers {r_n}, which yield approximations to log 2 that monotonically improve as n increases, is obtained by examining a suitably chosen sequence of integrals.

February 22, 2021: My pedagogical review entitled A tale of three diagonalizations was published today in the International Journal of Modern Physics A. A link to this paper can be found in Section II of this website.

In addition to the diagonalization of a normal matrix by a unitary similarity transformation, there are two other types of diagonalization procedures that sometimes arise in quantum theory applications--the singular value decomposition and the Autonne-Takagi factorization. In these notes, each of these diagonalization procedures for the most general 2×2 matrices for which the corresponding diagonalization is possible is explicitly derived and analytical results in each of the three cases are presented.

February 16, 2021: My paper in collaboration with João P. Silva, entitled Exceptional regions of the 2HDM parameter space, was posted today on the arXiv. A link to this paper can be found in Section II of this website.

This paper provides a comprehensive treatment of the exceptional region of the 2HDM parameter space (dubbed the ERPS4) whose scalar potential parameters (using the standard parameterization) satisfy λ₁= λ₂ and λ₆= -λ₇. Such a scalar potential exhibits a generalized CP symmetry, called GCP2, that is softly-broken if m₁₁≠ m₂₂ and/or m₁₂ ≠ 0. Many of the special features of the ERPS4 are highlighted, as well as the properties of even more specialized cases within the ERPS4 framework in which additional constraints on the scalar potential parameters are imposed. Implications for CP violation, the Higgs alignment limit and custodial symmetry are examined.

January 20, 2021: My review entitled Useful relations among the generators in the defining and adjoint representations of SU(N) was published today in SciPost Physics Lecture Notes. A link to this paper can be found in Section II of this website.

There are numerous relations among the generators in the defining and adjoint representations of SU(N). These include Casimir operators, formulae for traces of products of generators, etc. Many of these relations are well known and others are more obscure. There are multiple sources for the various identities that are reviewed in this note, but there is no single reference that I am aware of that contains all of them. I have collected many of the relevant identities and assembled them in this short review.

January 19, 2021: My presentation to Physics 205 can be found in Section V of this website.

January 1, 2021: The 2021 Particle Physics conference schedule has been posted to Section VIII of the academic website. Although not intended to be comprehensive, it covers many conferences that overlap with my research interests.

December 31, 2020: The report of the "Precision SUSY Higgs Mass Calculation Initiative", co-authored with Pietro Slavich et al., has appeared on the arXiv today. A link to this paper can be found in Section II of this website.

Predictions for the Higgs masses are a distinctive feature of supersymmetric extensions of the Standard Model, where they play a crucial role in constraining the parameter space. The "Precision SUSY Higgs Mass Calculation Initiative" (KUTS) was launched in 2014 to provide a forum for discussions between the different groups involved in these efforts. This report aims to present a comprehensive overview of the current status of Higgs-mass calculations in supersymmetric models, to document the many advances that were achieved in recent years and were discussed during the KUTS meetings, and to outline the prospects for future improvements in these calculations.

November 30, 2020: My paper in collaboration with Patrick Draper and Andreas Ekstedt, entitled A natural mechanism for approximate Higgs alignment in the 2HDM, was posted today on the arXiv. A link to this paper can be found in Section II of this website.

In this paper, we provide a mechanism for obtaining an approximate Higgs alignment suggested by the LHC Higgs data as a consequence of a softly broken global symmetry of the two-Higgs doublet model (2HDM) Lagrangian. However, this can only be accomplished if the Yukawa sector of the theory is extended. Thus, we propose an extended 2HDM with vector-like top quark partners, where explicit mass terms in the top sector provide the source of the soft symmetry breaking of a generalized CP symmetry. In this way, we can realize approximate Higgs alignment without a significant fine-tuning of the model parameters. The implications of the current LHC bounds on vector-like top quark partners for the success of our proposed scenario are explored.

September 10, 2020: A pedagogical note entitled A tale of three diagonalizations was posted today on the arXiv. A link to this paper can be found in Section II of this website.

August 14, 2020: The 2020 edition of the Review of Particle Physics, published today in Progress of Theoretical and Experimental Physics (PTEP), 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 the academic website.

August 1, 2020: As of today, I have been recalled to active service for three years (without salary). My new title at the University is Research Professor of Physics. This will permit me to continue my research activities in theoretical particle physics. I look forward to continuing my collaborations both here and abroad (at least via zoom until the day arrives that will allow us to travel once again).

July 1, 2020: I have officially retired from the University of California, Santa Cruz, and henceforth my designation will be Distinguished Professor of Physics Emeritus. Although my teaching duties are now complete, I am still supervising two Ph.D. students, and I will consider the possibility of teaching occasionally in the future if the opportunity presents itself.

May 30, 2020: I have written some notes that provide an explicit computation of the finite part of the Passarino-Veltman function B₀(p²;m₁²,m₂²), which appears in the evaluation of one-loop self-energy diagrams. This note has been posted to Section VI of this website.

April 20, 2020: I have posted two sets of notes to Section VI of this website. The first note consists of a careful derivation of the expression for the Feynman propagator of scalar field theory, Δ_F(x) in coordinate space (in four spacetime dimensions). Two different treatments are given and various subtleties of the calculations are emphasized. Δ_F(x) is an example of a generalized function (or distribution). In the second note, I provide a practical introduction to generalized functions that is particularly useful in mathematical physics applications, focusing on identifying the most common generalized functions employed in physics and the methods for manipulating them.

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).

The properties of the Higgs boson, which were discovered in 2012 at the Large Hadron Collider (LHC). 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. Staring 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 (such as the proposed International Linear 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--2018:

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 6 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 4 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 47 records

Thirteen selected publications published from 2003--2014 are listed below.

Probing wrong-sign Yukawa couplings at the LHC and a future linear collider
P.M. Ferreira, John F. Gunion, Howard E. Haber, Rui Santos. Mar 19, 2014. 24 pp.
SCIPP-14-02, UCD-2014-2
Published in Phys.Rev. D89 (2014) 115003
DOI: 10.1103/PhysRevD.89.115003
Published version: [PDF]
e-Print: arXiv:1403.4736 [hep-ph] | PDF
Detailed record - Cited by 123 records

Decoupling of the Right-handed Neutrino Contribution to the Higgs Mass in Supersymmetric Models
Patrick Draper, Howard E. Haber. Apr 22, 2013. 27 pp.
SCIPP-13-04.
Published in Eur.Phys.J. C73 (2013) 2522
DOI: 10.1140/epjc/s10052-013-2522-7
Published version: [PDF]
e-Print: arXiv:1304.6103 [hep-ph] | PDF
Detailed record - Cited by 8 records

Mass-degenerate Higgs bosons at 125 GeV in the Two-Higgs-Doublet Model.
P.M. Ferreira, Howard E. Haber, Rui Santos, Joao P. Silva. Nov 2012. 17 pp.
SCIPP-12-14.
Published in Phys.Rev. D87 (2013) 055009
DOI: 10.1103/PhysRevD.87.055009
Published version: [PDF]
e-Print: arXiv:1211.3131 [hep-ph] | PDF
Detailed record - Cited by 80 records

Group-theoretic Condition for Spontaneous CP Violation.
Howard E. Haber (UC, Santa Cruz), Ze'ev Surujon (UC, Irvine). Jan 2012. 25 pp.
SCIPP-12-01, UCI-TR-2012-01.
Published in Phys.Rev. D86 (2012) 075007
DOI: 10.1103/PhysRevD.86.075007
Published version: [PDF]
e-Print: arXiv:1201.1730 [hep-ph] PDF
Detailed record - Cited by 32 records

Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U.
Howard E. Haber, Deva O'Neil (UC, Santa Cruz). Nov 2010. 58 pp.
SCIPP-10-18.
Published in Phys.Rev. D83 (2011) 055017
DOI: 10.1103/PhysRevD.83.055017
Published version: [PDF]
e-Print: arXiv:1011.6188 [hep-ph]
Detailed record - Cited by 162 records

Supersymmetric Monojets at the Large Hadron Collider.
Benjamin C. Allanach (Cambridge U., DAMTP), Sebastian Grab, Howard E. Haber (UC, Santa Cruz). Oct 2010. 42 pp.
DAMTP-2010-83, SCIPP-10-16.
Published in JHEP 01 (2011) 138, Erratum-ibid. 07 (2011) 087, Erratum-ibid. 09 (2011) 027
DOI: 10.1007/JHEP01(2011)138, 10.1007/JHEP07(2011)087, 10.1007/JHEP09(2011)027
Published version: [PDF] [Erratum 1] [Erratum 2]
e-Print: arXiv:1010.4261 [hep-ph]
Detailed record - Cited by 35 records

Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
P.M. Ferreira (Lisbon, ISEL & Lisbon, IST), Howard E. Haber (UC, Santa Cruz), Joao P. Silva (Lisbon, ISEL & Lisbon, IST). Feb 2009. 20 pp.
Published in Phys.Rev. D79 (2009) 116004
DOI: 10.1103/PhysRevD.79.116004
Published version: [PDF]
e-Print: arXiv:0902.1537 [hep-ph] | PDF
Detailed record - Cited by 73 records

Hard supersymmetry-breaking 'wrong-Higgs' couplings of the MSSM.
Howard E. Haber, John D. Mason (UC, Santa Cruz). Nov 2007. 32 pp.
SCIPP-07-16.
Published in Phys.Rev. D77 (2008) 115011
DOI: 10.1103/PhysRevD.77.115011
Published version: [PDF]
e-Print: arXiv:0711.2890 [hep-ph]
Detailed record - Cited by 36 records

Seesaw mechanism in the sneutrino sector and its consequences.
Athanasios Dedes (Durham U., IPPP & Ioannina U.), Howard E. Haber (UC, Santa Cruz), Janusz Rosiek (Durham U., IPPP & Warsaw, CFT). Jul 2007. 63 pp.
IPPP-07-16,CPT-07-32, SCIPP-07-10.
Published in JHEP 11 (2007) 059
DOI: 10.1088/1126-6708/2007/11/059
Published version: [PDF]
e-Print: arXiv:0707.3718 [hep-ph]
Detailed record - Cited by 55 records

Basis-independent methods for the two-Higgs-doublet model. II. The Significance of tan beta.
Howard E. Haber, Deva O'Neil (UC, Santa Cruz, Inst. Part. Phys.). Feb 2006. 48 pp.
SCIPP-06-01.
Published in Phys.Rev. D74 (2006) 015018, Erratum-ibid. D74 (2006) 059905
DOI: 10.1103/PhysRevD.74.015018, 10.1103/PhysRevD.74.059905
Published version: [PDF] [Erratum]
e-Print: hep-ph/0602242 | PDF
Detailed record - Cited by 168 records

Conditions for CP-violation in the general two-Higgs-doublet model
John F. Gunion (UC, Davis (main)), Howard E. Haber (UC, Santa Cruz, Inst. Part. Phys.). Jun 2005. 46 pp.
Published in Phys.Rev. D72 (2005) 095002
SCIPP-04-16, UCD-2004-29
DOI: 10.1103/PhysRevD.72.095002
Published version: [PDF]
e-Print: hep-ph/0506227 | PDF
Detailed record - Cited by 190 records

Basis-independent methods for the two-Higgs-doublet model
Sacha Davidson (Durham U., IPPP & Lyon, IPN), Howard E. Haber (Durham U., IPPP & UC, Santa Cruz). Apr 2005. 45 pp.
IPPP-03-23, DCPT-03-46, SCIPP-04-15.
Published in Phys.Rev. D72 (2005) 035004, Erratum-ibid. D72 (2005) 099902
DOI: 10.1103/PhysRevD.72.035004, 10.1103/PhysRevD.72.099902
Published version: [PDF] [Erratum]
e-Print: hep-ph/0504050 | PDF
Detailed record - Cited by 367 records

The CP conserving two Higgs doublet model: The Approach to the decoupling limit
John F. Gunion (UC, Davis), Howard E. Haber (UC, Santa Cruz). Jul 2002. 42 pp.
SCIPP-02-10.
Published in Phys.Rev. D67 (2003) 075019
DOI: 10.1103/PhysRevD.67.075019
Published version: [PDF]
e-Print: hep-ph/0207010 | PDF
Detailed record - Cited by 797 records

My two most highly cited papers (not including reviews) are listed below.

Can the mass of the lightest Higgs boson of the minimal supersymmetric model be larger than m(Z)?
Howard E. Haber, Ralf Hempfling (UC, Santa Cruz). Nov 1990. 12 pp.
Published in Phys.Rev.Lett. 66 (1991) 1815-1818
SCIPP-90-42
DOI: 10.1103/PhysRevLett.66.1815
Published version: [PDF]
Detailed record - Cited by 1555 records
Higgs Bosons in Supersymmetric Models. 1.
J.F. Gunion (UC, Davis), Howard E. Haber (UC, Santa Cruz & SLAC). Aug 1984. 111 pp.
Published in Nucl.Phys. B272 (1986) 1, Erratum-ibid. B402 (1993) 567-569
SLAC-PUB-3404.
DOI: 10.1016/0550-3213(86)90340-8; 10.1016/0550-3213(93)90653-7
Published version: [PDF] [Erratum]
Detailed record - Cited by 1459 records

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

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 - Cited by 1 record

The Higgs boson explained in 60 seconds

Howard E. Haber, Symmetry Magazine, volume 3, issue 6 (August, 2006) [HTML | 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. 2019. 37 pp.
Review of Particle Physics (RPP)
Particle Data Group Collaboration (P.A. Zyla (LBL, Berkeley) et al.). 2020. 2093 pp.
Published in PTEP 2020 (2020) 083C01
DOI: 10.1093/ptep/ptaa104
Published version: [PDF]
Detailed record - Cited by 1377 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 11 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 349 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 50 records

Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry.
Herbi K. Dreiner (Bonn U.), Howard E. Haber (UC, Santa Cruz), Stephen P. Martin (Northern Illinois U. & Fermilab). 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]
September 17, 2020 version with the mostly minus metric (to be resubmitted to the arXiv): [PDF]
September 17, 2020 version with the mostly plus metric (to be resubmitted to the arXiv): [PDF]
e-Print: arXiv:0812.1594 [hep-ph]
Detailed record - Cited by 420 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 v5 of our review with the (-1, +1, +1, +1) metric convention, which should be identical in content in every other respect: DHMspinors_v5.pdf.

The list of known corrections to the Physics Reports version (September 2010) is here: DHM_corr_PhysicsReports.pdf.

The list of known corrections to the arXiv v5 (311 pages, August 2010) is here: DHM_corr_v5.pdf.

Both the (+1,-1,-1,-1) and the (-1, +1, +1, +1) metric versions were made from the single LaTeX file DHMspinors_v5.tex. [If you are curious and want to LaTeX this for some reason, you may need the style files found here; other packages used should be in most standard LaTeX distributions. The choice of metric signature is implemented by simply changing a single character in the LaTeX file, namely the argument of line 16, with \def\signofmetric{0} corresponding to the (+1,-1,-1,-1) metric and \def\signofmetric{1} to the (-1, +1, +1, +1) metric.]

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 553 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 104 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 5217 records

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IV. Published Books

Co-authored books

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 1191 records

Cited by 4717 Google Scholar records

Link to The Higgs Hunter's Guide at 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 170 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 1 record

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 4 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, 2021 Physics 205 Introduction to Research "Research on the Theory of the Terascale" [PDF | Powerpoint]
Spring, 2020 Physics 222 Quantum Field Theory III
Fall, 2019 Physics 116A Mathematical Methods in Physics I
Spring, 2019 Physics 251 Group Theory and Modern Physics
Winter, 2018 Physics 215 Introduction to Non-Relativistic Quantum Mechanics
Winter, 2017 Physics 214 Electromagnetism II
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

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]
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--2020

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]

2020 Conferences and workshops

All 2020 conferences and workshops at which I was scheduled to speak were canceled due to the Covid-19 pandemic.

2019 Conferences and workshops

Higgs Days at Santander 2019, in Santander, Spain, September 20, 2019 Future Perspectives (Part 2) [PDF]

Scalars 2019, at the University of Warsaw in Warsaw, Poland, September 14, 2019 The Future of Particle Physics---A Theorist’s Perspective [PDF]

Scalars 2019, at the University of Warsaw in Warsaw, Poland, September 14, 2019 Approximate alignment without decoupling in the 2HDM naturally [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 Higgs boson [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]

7th RISE Collaboration Workshop: NonMinimalHiggs, in Helsinki Finland, May 27, 2019 Approximate alignment without decoupling in the 2HDM naturally [PDF]

The 4th Toyama International Workshop on "Higgs as a Probe of New Physics 2019" (HPNP2019), in Osaka, Japan, February 18, 2019 Symmetries and Mass Degeneracies in the Scalar Sector [PDF]

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

Schools and Pedagogical Lectures

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]

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. 2021 Conferences and workshops in particle physics

The 7th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE 2020), in Bergen, Norway, postponed until 2021

8th International Conference on High Energy Physics in the LHC Era (HEP2021), January 4--8, 2021 in Valparaiso, Chile, postponed until 2022

Muon Collider Forum Kickoff Meeting, January 27, 2021, Online

Unveiling Hidden Physics Beyond the Standard Model at the LHC, March 1--3, 2021, Online

Bay Area Particle Theory Seminar (BAPTS), March 5, 2021 at San Francisco State University (SFSU) in San Francisco, CA

New Physics from Precision at High Energies, March 8--May 21, 2021, at the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara, CA USA

La Thuile 2021--Les Rencontres de Physique de la Vallee d"Aoste, March 9--11, 2021, Onine

The 2021 International Workshop on Future Linear Colliders (LCWS2021), March 15--18, 2021, Online

BCTP Lecture Series on "New Approaches to Feynman Integrals", March 15--19, 2021 at the Bethe Center for Theoretical Physics, in Bonn, Germany

55th Rencontres de Moriond 2021--Electroweak Interactions & Unified Theories, March 20--27, 2021, Online

The 5th International Workshop on "Higgs as a Probe of New Physics" Special Edition 2021 (HPNP2021), March 25--27, 2021 at Osaka University, in Osaka, Japan

55th Rencontres de Moriond 2021--QCD & High Energy Interactions, March 27--April 3, 2021, Online

Beyond Standard Model: From Theory to Experiment (BSM-2021), March 29--April 2, 2021, an online meeting organized by The Center for Fundamental Physics (CFP) at Zewail City of Science and Technology and Faculty of Engineering and Natural Sciences at Sabancı University.

Future Collider Forum: Kiockoff Meeting, April 16, 2021, Online

April APS Meeting 2019, April 17--20, 2021, Online

Standard Model at the LHC 2021, April 26--30, 2021, Online

First EuCAPT Annual Symposium, May 5--7, 2021 at CERN in Geneva, Switzerland, held in fully remote mode

XIV International Conference on Interconnections between Particle Physics and Cosmology (PPC 2021), May 17--21, 2021 at the University of Oklahoma, held in fully remote mode

Joint edition of the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest), May 17--21, 2021, at Florida State University, Tallahassee, FL USA

"Big Questions in...Higgs Physics!" Colloquium>/a>, May 21, 2021, Online

The 2021 Phenomenology Symposium (PHENO 2021), May 24--26, 2021 at the University of Pittsburgh in Pittsburgh, PA USA

IDT-WG3-Phys Kickoff Meeting & Mini-Symposium on Muon g-2, May 27, 2021, Online

Positivity and the Bootstrap, May 31--June 2, 2021 at CERN, held in fully remote mode

(g-2) Days 2021, May 31--June 4, 2021, Online

9th Edition of the Large Hadron Collider Physics Conference, June 7--12, 2021, at the International Conference Centre of Sorbonne Université (CICSU) in Paris, France

PED-Higgs kick-off meeting, June 18, 2021, Online

Sustainable HEP, June 28--30, 2021, at CERN (virtually) in Geneva, Switzerland

Offshell-2021-—The virtual HEP conference on Run4@LHC, July 6--9, 2021, Online

Dark Matter from the Laboratory to the Cosmos, July 25--August 29, 2021 at the Aspen Center for Physics in Aspen, CO USA

EPS-HEP Conference 2021, July 26--30, 2021, Online

MIAPP Workshop on "Novel Hidden Sectors: From Colliders to Cosmology", August 2--27, 2021, at the Munich Institute for Astro- and Particle Physics (MIAPP) in Munich, Germany

The 49th SLAC Summer Institute, August 16--27, 2021 at SLAC, Stanford, CA USA

Workshop on the Standard Model and Beyond, August 29--September 8, 2021 at the Corfu Summer Institute in Corfu, Greece

Nu Intersections: Neutrino Physics at a Crossroad,August 29--September 19, 2021 at the Aspen Center for Physics in Aspen, CO USA

Particles and Nuclei International Conference (PANIC 2021), August 30--September 3, 2021 at the University of Lisbon in Lisbon, Portugal

Higgs Hunting 2021, September 20--22, 2021 at Orsay-Paris, France

DESY Theory Workshop--Bright ideas for a dark universe, September 21--24, 2021 at DESY in Hamburg, Germany

The 18th General Assembly of the LHC Higgs Cross Section Working Group (HXSWG), December 1--3, 2021 at CERN in Geneva, Switzerland

30th International Symposium on Lepton Photon Interactions at High Energies (LP2021), January 10--14, 2022 at the University of Manchester in Manchester, UK

41th International Conference on High Energy Physics (ICHEP 2022), July 6--13, 2022, in Bologna, Italy

Another compilation of upcoming particle physics conferences and workshops can be found here.

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

AddALL 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 TWiki Portal

ATLAS Documents

ATLAS Experiment--Public results

ATLAS Higgs Physics results

ATLAS Supersymmetry Physics results

CMS Documents

CMS Physics results

CMS Higgs Physics results

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

LHC Higg 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]

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

Mathematica and Maple links

List of Mathematica Commands

Maple cheatsheet

Mathematics links

Mathematical Association of America

Table of integrals

Meetings and Conferences organized by SCIPP Theory

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