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

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.

March 29, 2020: I have prepared a note entitled, Evaluating the one-loop function arising in h→γγ. This note has been posted to Section VI of this website.

March 20, 2020: My paper in collaboration with Rafael Boto, Tiago V. Fernandes, Jorge C. Romao and Joao P. Silva, entitled Basis-independent treatment of the complex 2HDM, was published today in Physical Review D. A link to this paper can be found in Section II of this website.

January 22, 2020: My presentation to Physics 205 can be found in Section V of this website.

January 6, 2020: My paper in collaboration with Rafael Boto, Tiago V. Fernandes, Jorge C. Romao and Joao P. Silva, entitled Basis-independent treatment of the C2HDM, was posted today on the arXiv. A link to this paper can be found in Section II of this website.

The C2HDM is the most general CP-violating two Higgs doublet model that possesses a softly-broken Z₂ symmetry. To get a better sense of the significance of the C2HDM parameters, we have analyzed this model by employing a basis-independent formalism. Using this method, we have obtained the constraints that enforce the softly-broken Z₂ symmetry. One can then relate the C2HDM parameters to basis-independent quantities up to a two-fold ambiguity, which we then resolve. We have also obtained basis-independent constraints that govern the presence of spontaneous CP violation.

January 1, 2020: The 2020 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, 2019: My review entitled Useful relations among the generators in the defining and adjoint representations of SU(N) was posted today on the arXiv. 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.

December 6, 2019: The 2019 update of the review articles appearing the Review of Particle Physics by the Particle Data Group (PDG) is now published on the PDG web site. More than half of the 119 review articles were revised, many of them very significantly. Included among these review articles is the newly revised Supersymmetry, Part I (Theory), which is now co-authored by myself and Ben Allanach.

September 20, 2019: My talk entitled Future Perspectives (Part 2), given at Higgs Days at Santander 2019 in Santander, Spain, has been posted to Section VII of this website.

September 14, 2019: At the Scalars 2019 conference in Warsaw, Poland, I gave two talks. The first talk, entitled Approximate alignment without decoupling in the 2HDM naturally, was given in response to the original invitation to the conference. The second talk, a brief 15 minute presentation that served as the concluding talk of the meeting, was entitled The Future of Particle Physics---A Theorist’s Perspective, and was given due to a request by the main organizer of the conference. Both talks have been posted to Section VII of this website.

September 11, 2019: The 1985 Physics Reports review by Howard Haber and Gordon Kane, The Search for Supersymmetry: Probing Physics Beyond the Standard Model, has reached 5,000 citations. It is now in the all-time Top 30 (excluding PDG-RPP) according to INSPIRE HEP.

August 15, 2019: I gave two talks collectively called Higgs Bosons: Past, Present and Future at the Sorak Symposium reminiscence on Particle Physics held at the NakSan Beach Hotel in Yang Yang, South Korea. The first talk was entitled, The incomplete and biased history of the Higgs boson, and the second talk was entitled, Quo Vadis Higgs (or what the current Higgs data is trying to tell us). Both talks have been posted to Section VII of this website.

May 27, 2019: My talk entitled Approximate alignment without decoupling in the 2HDM naturally, given at the 7th RISE Collaboration Workshop: NonMinimalHiggs in Helsinki, Finland, 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).

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 4 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 42 records

Twelve 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 108 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 7 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 78 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 24 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 139 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 34 records

Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model.
P.M. Ferreira (Lisbon, ISEL & Lisbon U., CFTC), Howard E. Haber (UC, Santa Cruz), M. Maniatis, 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 44 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 35 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 54 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). 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 158 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
- References | BibTeX | LaTeX(US) | LaTeX(EU) | Harvmac | EndNote | ADS Abstract Service
- Abstract and Postscript and PDF from arXiv.org; Phys. Rev. D Server
Detailed record - Cited by 323 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
- References | BibTeX | LaTeX(US) | LaTeX(EU) | Harvmac | EndNote | ADS Abstract Service
- Abstract and Postscript and PDF from arXiv.org; Phys. Rev. D Server
Detailed record - Cited by 713 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]
- References | BibTeX | LaTeX(US) | LaTeX(EU) | Harvmac | EndNote
- ADS Abstract Service; CERN Library Record ; Phys. Rev. Lett. Server
Detailed record - Cited by 1535 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]
- References | BibTeX | LaTeX(US) | LaTeX(EU) | Harvmac | EndNote
- CERN Library Record ; SLAC Document Server; Journal Server - Nuclear Physics B; . Journal Server - Erratum-ibid.
Detailed record - Cited by 1427 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 (M. Tanabashi (Nagoya U.& KMI, Nagoya) et al.). 2018. 1898 pp.
Published in Phys.Rev. D98 (2018) 030001
DOI: 10.1103/PhysRevD.98.030001
Published version: [PDF]
Detailed record - Cited by 4734 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 5 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 327 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]
e-Print: arXiv:0812.1594 [hep-ph]
Detailed record - Cited by 366 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 536 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 98 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]
Detailed record - Cited by 5109 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 1108 records

Cited by 4616 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 162 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 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

Spring, 2020 Physics 222 Quantum Field Theory III
Winter, 2020 Physics 205 Introduction to Research "Research on the Theory of the Terascale" [PDF | Powerpoint]
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

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--2019

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]

2018 Conferences and workshops

The 5th HARMONIA Warsaw-Lisbon-Catania-Dresden meeting, at the OCHOTA campus of the University of Warsaw, in Warsaw, Poland, December 6--8, 2018 Symmetries and Mass Degeneracies in the Scalar Sector [PDF]

GGI Workshop: "Beyond the Standard Model: Where do we go from here?", at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy, September 26, 2018 Discussion on Future Colliders [PDF]

Workshop on Multi-Higgs Models , at the Instituto Superior Técnico in Lisbon, Portugal, September 4, 2018 Symmetries and Mass Degeneracies in the Scalar Sector [PDF]

GGI Workshop: "Beyond the Standard Model: Where do we go from here?", at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy, August 30, 2018 Beyond the Standard Model: Where do we go from here? [PDF]

MASS2018: Origin of Mass at the High Energy and Intensity Frontier, at CP³ Origins in Odense, Denmark, June 1, 2018 Beyond the Standard Model Higgs Boson [PDF]

PLANCK 2018: 21st International Conference from the Planck Scale to the Electroweak Scale, in Bonn, Germany, May 22, 2018 Mass Degeneracies in Extended Higgs Sectors [PDF]

Rencontres de Moriond: QCD and High Energy Interactions, in La Thuile, Aosta Valley, Italy, March 20, 2018 Approximate Higgs alignment without decoupling [PDF]

TRIUMF Theory Workshop on New Physics and the Higgs, at TRIUMF in Vancouver, BC, Canada, February 20, 2018 Mass Degeneracies in Extended Higgs Sectors [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. 2020 Conferences and workshops in particle physics

37th Advanced School in Theoretical Physics: New Ideas for Old Puzzles in Particle Physics, December 29, 2019--January 9, 2020, at the Hebrew University of Jerusalem, Israel

International Conference on Neutrinos and Dark Matter (N&DM-2020), January 11--14, 2020 in Hurgada, Egypt

CERN-TH institute programme: New Physics on the Low-Energy Precision Frontier, January 20--February 7, 2020, at CERN in Generva, Switzerland

Bahamas Advance Study Institute & Conferences (BASIC 2020), February 9--15, 2020 at the Stella Maris Resort, Long Island, in the Bahamas

CLIC Week 2020, March 9--13, 2020 at CERN in Geneva, Switzerland

West Coast LHC Jamboree, April 7--8, 2020 at SLAC in Menlo Park, CA USA

Bay Area Particle Theory Seminar (BAPTS), April 10, 2020 at San Francisco State University (SFSU) in San Francisco, CA

April APS Meeting 2019, April 18--21, 2020 in Washington, DC USA

SM@LHC, April 27--30, 2020 in Rome, Italy

The 2020 Phenomenology Symposium (PHENO 2020), May 4--6, 2020 at the University of Pittsburgh in Pittsburgh, PA USA

Loopfest XIX, May 7--9, 2020 at the University of Pittsburgh in Pittsburgh, PA USA

XIV International Conference on Interconnections between Particle Physics and Cosmology, May 18--22, 2020 in Norman, Oklahoma USA

Summiting the Unknown: Celebrating The Legacy Of Ann Nelson, May 30--June 1, 2020 at the University of Washington in Seattle, WA USA

Planck 2020: 23rd International Conference From the Planck Scale to the Weak Scale, June 15--19, 2020 at the Calman Learning Center (near the IPPP) in Durham, UK

12th KUTS Workshop, June 24--26, 2020 at PSI in Switzerland.

PSI Summer School--Vision and Precision, August 9--15, 2020, at the Lyceum Alpinum, Zuoz, Switzerland

Workshop on the Standard Model and Beyond (Corfu2020), August 31--September 9, 2020 in Corfu, Greece

Workshop on Multi-Higgs Models, September 1--4, 2020 in Lisbon, Portugal

Higgs Hunting 2020, September 7--9, 2020 at Orsay-Paris, France

The 17th General Assembly of the LHC Higgs Cross Section Working Group (HXSWG), November 9--11, 2020 at CERN in Geneva, Switzerland

14th Annual Workshop of the Helmholtz Allisnce Physics at the Terascale, November 23--25, 2020 at DESY in Hammburg, Germany

The 7th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE 2020), November 23--27, 2020 in Bergen, Norway

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

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