Table of Contents


Contact Information

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 2--4 pm
e-mail haber@scipp.ucsc.edu
alternate e-mail haber@ucsc.edu


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excerpted from a 1996 Foxtrot cartoon by Bill Amend

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The Higgs Boson Re-explained

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


RECENT NEWS

new!!! October 23, 2018: My paper in collaboration with Miguel P. Bento, Jorge C. Romao and Joao P. Silva, entitled Multi-Higgs doublet models: the Higgs-fermion couplings and their sum rules was published today by the Journal of High Energy Physics (JHEP). A link to this paper can be found in Section II of this website.

This is the second of a series of papers that explores the physical parameterization, sum rules and unitarity bounds arising from a non-minimal scalar sector of the Standard Model (SM) that consists of N Higgs doublets. In this paper, we focus on the structure and implication of the Yukawa interactions that couple the N scalar doublets to the SM fermions. One consequence of our analysis is the presence of significant constraints on the Higgs-fermion coupling in the approximate alignment limit.

September 26, 2018: My talk entitled Discussion on Future Colliders, given at the GGI Workshop: "Beyond the Standard Model: Where do we go from here?", at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy, has been posted to Section VII of the academic website.

September 17, 2018: My Viewpoint entitled "Higgs Decay into Bottom Quarks Seen at Last", published online by the American Physical Society in their weekly mailing, "This Week in Physics," describes the significance of the CMS publication, Observation of Higgs Boson Decay to Bottom Quarks, which appeared today in Physical Review Letters. A link to the Viewpoint can be found at the end of Section II of this website.

September 4, 2018: My talk entitled Symmetries and Mass Degeneracies in the Scalar Sector, given at the Workshop on Multi-Higgs Models at the Instituto Superior Técnico in Lisbon, Portugal, has been posted to Section VII of this website.

August 30, 2018: My talk entitled Beyond Standard Model: Where do we go from here?, given at the GGI Workshop: "Beyond the Standard Model: Where do we go from here?", at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy, has been posted to Section VII of this website.

August 28, 2018: My paper in collaboration with O.M. Ogreid, P. Osland and M.N. Rebelo, entitled Symmetries and Mass Degeneracies in the Scalar Sector was posted today on the arXiv. A link to this paper can be found in Section II of this website.

In this paper, we explore some aspects of CP conserving models with two and three SU(2) scalar doublets that lead to mass degeneracies among some of the physical scalars. Natural scalar mass degeneracies are possible in the inert two Higgs doublet model (IDM). In the case of three doublets, we introduce and analyze the replicated inert doublet model, which possesses two inert doublets of scalars. We then generalize this model to obtain a scalar potential, first proposed by Ivanov and Silva (IS), with a CP4 symmetry that guarantees the existence of pairwise degenerate scalar states among two of the neutral CP-even, CP-odd and charged Higgs scalars. The symmetries of the model permit a term in the IS scalar potential with a complex coefficient that cannot be removed by any redefinition of the scalar fields within the class of Higgs bases (in which case, we say that no real Higgs basis exists and the conventional CP symmetry is absent). Moreover, we demonstrate that it is possible to physically distinguish between the existence or nonexistence of a real Higgs basis despite the fact that no CP-violating observables exist in either case.

August 23, 2018: My paper in collaboration with Miguel P. Bento, Jorge C. Romao and Joao P. Silva, entitled Multi-Higgs doublet models: the Higgs-fermion couplings and their sum rules was posted today on the arXiv. A link to this paper can be found in Section II of this website.

This is the second of a series of papers that explores the physical parameterization, sum rules and unitarity bounds arising from a non-minimal scalar sector of the Standard Model (SM) that consists of N Higgs doublets. In this paper, we focus on the structure and implication of the Yukawa interactions that couple the N scalar doublets to the SM fermions. We employ the charged Higgs basis introduced in our previous paper. Based on the structure of the Yukawa Lagrangian of the model (and as a consequence of tree-level unitarity), one may deduce numerous sum rules, several of which have not appeared previously in the literature. These sum rules can be used to uncover intimate relations between the structure of the Higgs-fermion couplings and the scalar/gauge couplings. In particular, we demonstrate that the approximate alignment limit imposes significant constraints on the Higgs-fermion couplings of the model.

August 17, 2018: The 60th anniversary edition of the Review of Particle Physics, published 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. My update of the Supersymmetry Theory review, which appears in the Review of Particle Physics, can be found in Section III of this website.

August 7, 2018: My paper in collaboration with Bohdan Grzadkowski, Odd Magne Ogreid and Per Osland entitled Heavy Higgs boson decays in the alignment limit of the 2HDM, was posted today on the arXiv. A link to this paper can be found in Section II of this website.

In this work, we consider the theoretical properties and the phenomenological implications of a generic two Higgs doublet model (2HDM) in the Higgs alignment limit, where the neutral scalar field H1 coincides with the properties of the Standard Model (SM) Higgs boson. The properties of the two other heavier neutral Higgs scalars, H2 and H3, in the alignment limit are tightly constrained and correlated. Observables that could be used to test the alignment scenario at the LHC are defined and discussed. The couplings of the Higgs bosons away from their exact alignment values are determined to leading order, and some consequences are elucidated. Appendices provide a convenient list of 2HDM Feynman rules expressed directly in terms of experimentally observable quantities.

August 6, 2018: My talk entitled The woefully incomplete, unabashedly biased history of the Higgs Boson, given at the 46th SLAC Summer Institute--Standard Model at 50: Successes and Challenges at SLAC in Stanford, CA USA, has been posted to Section VII of this website.

June 1, 2018: My talk entitled Beyond the Standard Model Higgs Boson, given at MASS2018: Origin of Mass at the High Energy and Intensity Frontier, at CP3 Origins in Odense, Denmark, has been posted to Section VII of this website.

May 22, 2018: My talk entitled Approximate Higgs alignment without decoupling, given at PLANCK 2018: 21st International Conference from the Planck Scale to the Electroweak Scale, in Bonn, Germany, has been posted to Section VII of this website.

May 16, 2018: The writeup of my talk given at the 53th Rencontres de Moriond, QCD and High Energy Interactions Session in La Thuile, Aosta Valley, Italy on March 20, 2018 has now appeared on the arXiv.   [PDF]

March 20, 2018: My talk entitled Approximate Higgs alignment without decoupling, given at Rencontres de Moriond: QCD and High Energy Interactions, in La Thuile, Aosta Valley, Italy has been posted to Section VII of this website.

February 20, 2018: My talk entitled Mass Degeneracies in Extended Higgs Sectors, given at the TRIUMF Theory Workshop on New Physics and the Higgs at TRIUMF in Vacouver, Canada has been posted to Section VII of this website.

February 5, 2018: Notes on the Matrix Exponential and Logarithm have been posted to Section VI of this website.

January 23, 2018: My presentation to Physics 205 can be found in Section V of this website.

January 5, 2018: The 2018 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 19, 2017: A written version of my 2016 TASI Lectures entitled Supersymmetric Theories and Models was posted today as a preprint on the arXiv, thanks to a collaborative effort with my co-author Laurel Stephenson Haskins. A link to the written version of these lectures can be found in Section II of this website.

November 30, 2017: My talk entitled Replicating the Higgs Doublet, given at Scalars 2017 at the Unversity of Warsaw in Warsaw, Poland, has been posted to Section VII of this website.

November 15, 2017: My paper in collaboration with Miguel Bento, J.C. Romao and Joao Silva entitled Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds was published in the Journal of High Energy Physics (JHEP). A link to this paper can be found in Section II of this website.

In this work, we examine the structure of a Higgs sector consisting of N Higgs doublets. We demonstrate the good features of the so-called charged Higgs basis, which allow us to explicitly identify the physical parameters of the model. We also derive simple forms for the couplings of the Higgs bosons and vector bosons for and some of the Goldstone boson interactions. These results are applied in the derivation of Higgs coupling sum rules and tree-level unitarity bounds that restrict the size of the quartic scalar couplings.

November 6, 2017: My paper in collaboration with Sven Heinemeyer and Tim Stefaniak, entitled The Impact of Two-Loop Effects on the Scenario of MSSM Higgs Alignment without Decoupling, was published in European Physical Journal C. A link to this paper can be found in Section II of this website.

In this work, we assesed the impact of the leading two-loop O(αs ht2) corrections to the Higgs alignment condition in the MSSM. These corrections are sizable and important in the relevant regions of parameter space and furthermore give rise to solutions of the alignment condition that are not present in the approximate one-loop description. The implications for phenomenologically viable regions of the MSSM parameter space were considered.

news archive    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.

Link to my most recent preprints:

Links to my 2018 publications:

Links to my 2017 publications:

Links to my 2016 publications:

Links to my 2015 publications:

Links to Conference proceedings, 2013--2018:

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

  1. 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

  2. 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

  3. 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


  4. 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


  5. 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]


  6. 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]


  7. 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]


  8. 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]


  9. 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]


  10. 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


  11. 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



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


  1. 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]


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

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

  1. Supersymmetry, Part I (Theory).
    Howard E. Haber (UC, Santa Cruz). Sept. 2017. 17 pp.
      PDF from 2018 edition of the
    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]




  2. 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


  3. 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]
  4. 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.]

  5. 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


  6. 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 In *Stanford 1993, Spin structure in high energy processes* 231-272
    Presented at Conference: C93-07-26
    e-Print: hep-ph/9405376
    Postscript and PDF from this website.


  7. 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]

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IV. Published Books

Co-authored books

  1. 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

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



Edited books

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


  2. 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)

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





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V. Teaching

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VI. Notes and other writings

  1. Notes on the Matrix Exponential and Logarithm     [PDF | PS]
  2. What is the group of conjugate symplectic matrices?     [PDF | PS]
  3. Parameterization of real orthogonal antisymmetric matrices     [PDF | PS]
  4. Useful relations among the generators in the defining and adjoint representations of SU(N)     [PDF | PS]
  5. Toward a set of 2HDM benchmarks     [PDF | PS]
  6. The eigenvalues of the quadratic Casimir operator and second-order indices of a simple Lie algebra     [PDF | PS]
  7. Notes on basis changes and matrix diagonalization     [PDF | PS]
  8. Notes on the complex inverse trigonometric and hyperbolic functions and their principal values     [PDF | PS]
  9. Proof of a trace inequality in matrix algebra     [PDF | PS]
  10. Notes on the spontaneous breaking of SU(N) and SO(N) via a second-rank tensor multiplet     [PDF | PS]
  11. Notes on antisymmetric matrices and the pfaffian     [PDF | PS]
  12. Complex representation of scalar fields and the embedding of U(n) in SO(2n)     [PDF | PS]
  13. The probability that a product of random numbers is less than a fixed constant     [PDF | PS]
  14. Massless Majorana and Weyl fermions cannot be distinguished     [PDF | PS]

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VII. Talks at conferences, workshops and schools, 2004--2018

2018 Conferences and workshops

  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. Rencontres de Moriond: QCD and High Energy Interactions, in La Thuile, Aosta Valley, Italy, March 20, 2018     Approximate Higgs alignment without decoupling   [PDF]
  8. 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]

2017 Conferences and workshops

  1. Scalars 2017, at the University of Warsaw, in Warsaw, Poland, November 30, 2017     Replicating the Higgs Doublet   [PDF]
  2. Energy Frontier in Particle Physics: LHC and Future Colliders, at National Taiwan University in Taipei, Taiwan, September 29, 2017     Alignment in Models of Extended Higgs Sectors   [PDF]
  3. GGI Workshop: "Collider Physics and the Cosmos", at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy, September 12, 2017     Non-minimal Higgs sectors   [PDF]
  4. The 2nd HARMONIA Warsaw-Lisbon-Catania-Dresden meeting , at the University of Warsaw, in Warsaw, Poland, May 28, 2017     In search of natural Higgs alignment without decoupling in the 2HDM   [PDF]
  5. PLANCK 2017: 20th International Conference from the Planck Scale to the Electroweak Scale, in Warsaw, Poland, May 22, 2017     Alignment in extended Higgs models   [PDF]
  6. 3rd RISE Collaboration Meeting: NonMinimalHiggs, in Toyama, Japan, March 6, 2017     High scale flavor-aligned 2HDM   [PDF]
  7. The 3rd Toyama International Workshop on "Higgs as a Probe of New Physics 2017" (HPNP2017), in Toyama, Japan, March 1, 2017     A Theorist's Outlook for Higgs physics beyond the Standard Model   [PDF]
  8. April APS Meeting 2017, in Washington, DC USA, Janurary 30, 2017     Beyond the Standard Model Higgs Boson   [Powerpoint]

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

Schools and Pedagogical Lectures

  1. 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]

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

  3. 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]

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

  5. 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]

  6. 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]

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

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

  9. 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]

  10. 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. 2018 Conferences and workshops in particle physics

7th International conference in High Energy Physics in the LHC Era (Hep2018), January 8--12, 2018 at the Universidad Técnica Federico Santa María (UTFSM) in Valparaíso, Chile

Sid Drell Symposium, January 12, 2018 at SLAC, in Stanford, CA USA

2018 Zurich Phenomenology Workshop (ZPW2018), Flavours: light, heavy and dark, January 15--17, 2018, Zurich, Switzerland

CLIC Workshop 2018, January 22--26, 2018 at CERN in Geneva, Switzerland

Eighth KUTS Workshop, January 24--26, 2018 at LPTHE in Paris, France

TRIUMF Theory Workshop on New Physics and the Higgs, February 19--21, 2018 at TRIUMF in Vancouver, BC, Canada     [Scientific Program]

Dark Matter 2018 (DM18), February 21--23, 2018 at UCLA in Los Angeles, CA USA

MITP Workshop: Probing Physics Beyond the Standard Model with Precision, February 26--March 9, 2018, at the Mainz Institute for Theoretical Physics, Mainz, Germany

32nd Rencontres de Physique de la Vallée d'Aoste, February 25--March 3, 2018, in La Thuile, Aosta Valley, Italy

Conference on Particles and Cosmology, March 5--9, 2018, atNanyang Technilogical University, Singapore

53nd Rencontres de Moriond EW 2018, March 10--17, 2018, in La Thuile, Aosta Valley, Italy

Bay Area Particle Theory Seminar (BAPTS), March 16, 2018 at San Francisco State University (SFSU) in San Francisco, CA

53rd Rencontres de Moriond: QCD and High Energy Interactions, March 17--24, 2018, in La Thuile, Aosta Valley, Italy

53rd Rencontres de Moriond: Cosmology 2018, March 17--24, 2018, in La Thuile, Aosta Valley, Italy

The 14th LHC HXSWG Workshop, March 26--27, 2018 at CERN in Geneva, Switzerland

Aspen Center for Physics Winter Conference on Particle Physics: The Particle Frontier, March 25--31, 2018, in Aspen, CO USA

Dark Matter @ LHC 2018, April 3--6, 2018, at the University of Heidelberg, Germany

HL/HE LHC Meeting, April 4--6, 2018 at Fermilab in Batavia, IL USA

American Physical Society April Meeting, April 14--17, 2018, in Columbus, OH USA An Alpine LHC Physics Summit (ALPS 2018), April 15--20, 2018, Obergurgl University Center in Tyrol, Austria

Higgs Effective Field Theory Workshop (HEFT 2018), April 16--19, 2018 at the The Mainz Institute for Theoretical Physics (MITP), Johannes Gutenberg University of Mainz, in Mainz, Germany

2nd LIO International Conference on Flavor Physics, "From Flavour to New Physics," April 18--20, 2018, at the Institut de Physique Nucléaire de Lyon (IPNL)in Lyon, France

4th HARMONIA Warsaw-Lisbon-Catania-Dresden Meeting , April 26--30, 2018 in Warsaw, Poland

The 2018 Phenomenology Symposium, May 7--9, 2018 at the University of Pittsburg, in Pittsburgh, PA USA

3rd Bahamas Advanced Study Institute and Conferences 2018 (BASIC 2018), May 13--19, 2018 in Stella Maris, Long Island, The Bahamas

The strong CP puzzle and axions, May 14--16, 2018 at LPSC in Grenoble, France

PLANCK 2018: 21st International Conference from the Planck Scale to the Electroweak Scale, May 21--25, 2018 in Bonn, Germany

MASS2018: Origin of Mass at the High Energy and Intensity Frontier, May 28--June 1, 2018 at he Centre for Cosmology and Particle Physics Phenomenology (CP3-Origins) at the University of Southern Denmark (SDU), Odense, Denmark

Asian Linear Collider Workshop 2018 (ALCW2018), May 28--June 1, 2018, in Fukuoka, Japan

Bethe Forum "Grand Unification in the Real World", May 29--June 1, 2018, at the Bethe Center for Theoretical Physics in Bonn, Germany

The 13th Conference on the Intersections of Particle and Nuclear Physics (CIPANP18), May 29--June 3, 2018, at the Hyatt Regency Indian Wells, in Palm Springs CA

2018 Theoretical Advanced Study Institute (TASI 2018), "Theory in an Era of Data", June 4--29, 2018 at the University of Colorado in Boulder, CO USA

23rd International Symposium on Particles, Strings and Cosmology (PASCOS 2018), June 4--8, 2018 in Cleveland, OH, USA

LHCP 2018, the 6th Annual Conference on Large Hadron Collider Physics, June 4--9, 2018, in Bologna, Italy

XXVIII International Conference on Neutrino Physics and Astrophysics (Neutrino 2018), June 4--9, 2018, in Heidelberg, Germany

Gravity, Cosmology and Physics Beyond the Standard Model, June 11--15, 2018 at the University Pierre & Marie Curie, Place Jussieu, in Paris France June 4--9, 2018, in Heidelberg, Germany

14th International Workshop on Dark Side of the Universe 2018 (DSU 2018), June 25--29, 2018 at LAPTh, Annecy, France

7th Workshop on Flavour Symmetries and Consequences in Accelerators and Cosmology (FLASY 2018), July 2--5, 2018, at the University of Basel, Switzerland

ICHEP 2018, July 4--11, 2018 in Seoul, South Korea

7th International Conference on New Frontiers in Physics (ICNFP 2018), July 4--12, 2018, Kolymbari, Crete, Greece

Cargese 2018 International Summer School, Mass: From the Higgs to Cosmology, July 9--21, 2018, Institut d'Etudes Scientifiques de Cargese, France

2nd International Conference on Supersymmetric theories, dualities and deformations, July 16--18, 2018 at the Albert Einstein Center Institute for Theoretical Physics, in Bern, Switzerland

BOOST 2018, July 16--20, 2018 at the University of Paris, Jussieu Campus, in Paris, France

LoopFest XVII, July 16--20, 2018 at Michigan State University, in East Lansing, MI USA

17th Annual Prospects in Theoretical Physics (PiTP) summer school, "From Qubits to Spacetime," July 16--27, 2017 at the Intitute for Advanced Study (IAS) in Princeton, NJ USA

3rd Mainz Institute for Theoretical Physics graduate summer school, "Towards the Next Quantum Field Theory of Nature," July 16--August 3, 2018, in Mainz, Germany

CERN--Korea TH Institute, Physics at the LHC and Beyond, July 16--August 10, 2018 at CERN, Geneva, Switzerland

Higgs Hunting 2018, July 23--25, 2018 at Orsay-Paris, France

The 26rd International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2018), July 23--27, 2018 in Barcelona, Spain

The 46th SLAC Summer Institute--Standard Model at 50: Successes and Challenges, July 30--August 10, 2018 at SLAC, in Stanford, CA USA

The Flavor of New Physics in Collisions, July 30--August 26, 2018 at the Aspen Center for Physics in Aspen, CO USA

25th Anniversary of the Rencontres du Vietnam (Windows on the Universe), August 5--11, 2018 in Quy Nhon, Vietnam

PSI Summer School, Particle Flavour Fever, August 12--18, 2018, Lyceum Alpinum, Zuoz, Switzerland

The XIIth International Workshop on the Interconnection between Particle Physics and Cosmology (PPC 2018), August 20--24, 2018 in Zurich, Switzerland

GGI Workshop: "Beyond Standard Model: Where do we go from here?", August 20--October 5, 2018 at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy

Invisibles18 School, August 27--31, 2018, TUM Science & Study Center Raitenhaslach inBurghausen, Germany

Invisibles18 Workshop, September 3--7, 2018 in Karlsruhe, Germany

Workshop on Multi-Higgs Models, September 4--7, 2018 in Lisbon, Portugal

Double Higgs Production at Colliders Workshop, Setemberp 4--8, 2018 at Fermilab in Batavia, IL USA

Higgs Days at Santander 2018, September 10--14, 2018 in Santander, Spain

CKM 2018, 10th International Workshop on the CKM Unitarity Triangle, September 17--21, 2018 at the University of Heidelberg in Heidelberg, Germany

Seventh International Workshop on the Prospects for Charged Higgs Discovery at Colliders (CHARGED 2018), September 25--28, 2018, in Uppsala, Sweden

Teaching through research: remembering Raoul Gatto, September 28, 2018 at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy

High Precision for Hard Processes (HP2 2018), October 1--3, 2018, at the Physics Institute of the University of Freiburg, in Freiburg, Germany

"Beyond Standard Model: Where do we go from here?"--Johns Hopkins Workshop Series, October 1--5, 2018 at the Galileo Galilei Institute for Theoretical Physics in Arcetri, Florence, Italy

IPA 2018 (Interplay between Particle and Astroparticle physics), October 8--12, 2018, in Cincinnati, OH USA

Bay Area Particle Theory Seminar (BAPTS), October 12, 2018 at San Francisco State University (SFSU) in San Francisco, CA

Centennial Conference in Honour of Nobel Laureate Richard Feynman, October 22--24, 2018 at the Nanyang Technological University, Singapore

2018 International Workshop on Future Linear Colliders (LCWS2018), October 22--26, 2018 at the University of Texas at Arlington, Arlington, Texas, USA

2018 US LHC Users Association Meeting, October 24--26, 2018 at Fermilab in Batavia, IL USA

2018 Particle Data Group (PDG) Collaboration and Advisory Committee meetings, October 25--28, 2018 at Lawrence Berkeley National Laboratory in Berkeley, CA USA

Higgs Coupling Workshop 2018 (HC2018), November 26--30, 2018 in Tokyo, Japan

12th Annual Meeting of the Helmholtz Alliance "Physics at the Terascale", November 26--28, 2018 at DESY in Hamburg, Germany

5th HARMONIA Warsaw-Lisbon-Catania-Dresden Meeting, December 6--8, 2018 in Warsaw, Poland

The 15th Workshop of LHC Higgs Cross Section Working Group, December 10--12, 2018 at CERN in Geneva, Switzerland

Miami 2018, A topical conference on elementary particles, astrophysics, and cosmology, December 13--19, 2018 at Lago Mar Resort in Fort Lauderdale, Florida USA

Bahamas Advanced Studey Institute & Conferences (BASIC 2019), January 6--12, 2019 at Stella Maris, Long Island, Bahamas

New Directions in Theoretical Physics 3, January 9--11, 2019, organized by the Higgs Centre for Theoretical Physics, at the University of Edinburgh in Edinburgh, Scotland

COST Workshop on Higgs and Flavour Physics: Present and Future, January 14--17, 2019 at the Instituto Superior Técnico in Lisbon, Portugal

The 4th International Workshop on "Higgs as a Probe of New Physics 2019" (HPNP2019), February 18--22, 2019 at Osaka University in Osaka, Japan

Scalars 2019, September 11--14, 2019 at the University of Warsaw OCHOTA campus, Warsaw, Poland

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

conference and workshop archive    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

CERN homepage

CERN users

CERN Theory group

CERN Document Server

CERN Yellow Reports

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

INSPIRE HEP

CERN Document Server

Interactions.org

Particle Data Group

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

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

Particle physics outreach

The Particle Adventure

Hands on CERN

Physikshow at the University of Bonn

Particle physics jobs

Theoretical Particle Physics Jobs Rumor Mill

High Energy Physics Postdoc Rumor Mill

Physics blogs

Asymptotia

BackReAction

Cosmic Variance

Of Particular Significance

Quantum Diaries

A Quantum Diaries Survivor

Resonaances

viXra log

Physics links

Division of Particles and fields of the APS

American Physical Society

Professional publishers

EPJC Manuscript Central

ScienceDirect

SpringerLink

Search links

Google Books

Google Scholar

Tevatron physics results

Tevatron New Phenomena & Higgs Working Group

TeX and LaTeX links

The TeX Catalog Online

Selected extracts from the Comprehensive LaTeX Symbol List   [PDF]

Using Imported Graphics in LaTeX and pdfLaTeX


XII. Miscellaneous links of interest

Humor

Piled Higher and Deeper (Ph.D. Comics)

Sports

ESPN

Major League Baseball

National Football League

National Basketball Association

National Hockey League

San Francisco Giants

San Francisco 49ers

San Jose Sharks

Golden State Warriors

Weather

AccuWeather.com

The Weather Channel

The Weather Underground


XIII. Photographs

Photographs that I have taken at various physics conferences and workshops can be found at this link. Pictures of the Re-Entry coed softball team from the last eleven years can be found here.

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haber@scipp.ucsc.edu
Last Updated: November 3, 2018