Abstract
Certain supersymmetric grand unified models predict that the coefficients of the quadratic terms in the MSSM Higgs potential, \( m_{1,2}^2 \equiv m_{{H_{1,2}}}^2 + {\left| \mu \right|^2} \) and m 23 ≡ B μ , should be degenerate at the grand-unified scale. We discuss some examples for such models, and we analyse the implications of this peculiar condition of a GUT-scale degenerate Higgs mass matrix for low-scale MSSM phenomenology. To this end we explore the parameter space which is consistent with existing experimental constraints by means of a Markov Chain Monte Carlo analysis.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. Inoue, A. Kakuto and H. Takano, Higgs as (pseudo)Goldstone particles, Prog. Theor. Phys. 75 (1986) 664 [SPIRES].
A.A. Anselm and A.A. Johansen, SUSY GUT with automatic doublet-triplet hierarchy, Phys. Lett. B 200 (1988) 331 [SPIRES].
K.-W. Choi et al., Electroweak symmetry breaking in supersymmetric gauge-Higgs unification models, JHEP 02 (2004) 037 [hep-ph/0312178] [SPIRES].
F. Brümmer, S. Fichet, A. Hebecker and S. Kraml, Phenomenology of supersymmetric gauge-Higgs unification, JHEP 08 (2009) 011 [arXiv:0906.2957] [SPIRES].
G. Burdman and Y. Nomura, Unification of Higgs and gauge fields in five dimensions, Nucl. Phys. B 656 (2003) 3 [hep-ph/0210257] [SPIRES].
A. Hebecker, J. March-Russell and R. Ziegler, Inducing the μ and the B μ term by the radion and the 5D Chern-Simons term, JHEP 08 (2009) 064 [arXiv:0801.4101] [SPIRES].
A. Hebecker, 5D super Yang-Mills theory in 4D superspace, superfield brane operators and applications to orbifold GUT s, Nucl. Phys. B 632 (2002) 101 [hep-ph/0112230] [SPIRES].
I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Effective μ term in superstring theory, Nucl. Phys. B 432 (1994) 187 [hep-th/9405024] [SPIRES].
A. Brignole, L.E. Ibáñez, C. Muñoz and C. Scheich, Some issues in soft SUSY breaking terms from dilaton/moduli sectors, Z. Phys. C 74 (1997) 157 [hep-ph/9508258] [SPIRES].
A. Brignole, L.E. Ibáñez and C. Muñoz, Orbifold-induced μ term and electroweak symmetry breaking, Phys. Lett. B 387 (1996) 769 [hep-ph/9607405] [SPIRES].
A. Brignole, L.E. Ibáñez and C. Muñoz, Soft supersymmetry-breaking terms from supergravity and superstring models, hep-ph/9707209 [SPIRES].
F. Brümmer, R. Kappl, M. Ratz and K. Schmidt-Hoberg, Approximate R-symmetries and the μ term, JHEP 04 (2010) 006 [arXiv:1003.0084] [SPIRES].
Y. Nomura, D. Poland and B. Tweedie, Holographic grand unification, JHEP 12 (2006) 002 [hep-ph/0605014] [SPIRES].
L. Randall and R. Sundrum, Out of this world supersymmetry breaking, Nucl. Phys. B 557 (1999) 79 [hep-th/9810155] [SPIRES].
G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets, JHEP 12 (1998) 027 [hep-ph/9810442] [SPIRES].
B.C. Allanach, SOFTSUSY: a C++ program forcalculatingsupersymmetricspectra, Comput. Phys. Commun. 143 (2002) 305 [hep-ph/0104145] [SPIRES].
J.R. Ellis, T. Falk, K.A. Olive and Y. Santoso, Exploration of the MSSM with non-universal Higgs masses, Nucl. Phys. B 652 (2003) 259 [hep-ph/0210205] [SPIRES].
H. Baer, A. Mustafayev, S. Profumo, A. Belyaev and X. Tata, Direct, indirect and collider detection of neutralino dark matter in SUSY models with non-universal Higgs masses, JHEP 07 (2005) 065 [hep-ph/0504001] [SPIRES].
LEP Working Group for Higgs boson searches collaboration, R. Barate et al., Search for the standard model Higgs boson at LEP, Phys. Lett. B 565 (2003) 61 [hep-ex/0306033] [SPIRES].
G. Degrassi, S. Heinemeyer, W. Hollik, P. Slavich and G. Weiglein, Towards high-precision predictions for the MSSM Higgs sector, Eur. Phys. J. C 28 (2003) 133 [hep-ph/0212020] [SPIRES].
M.S. Carena and H.E. Haber, Higgs boson theory and phenomenology, Prog. Part. Nucl. Phys. 50 (2003) 63 [hep-ph/0208209] [SPIRES].
J.A. Casas, A. Lleyda and C. Muñoz, Strong constraints on the parameter space of the MSSM from charge and color breaking minima, Nucl. Phys. B 471 (1996) 3 [hep-ph/9507294] [SPIRES].
J.R. Ellis, J. Giedt, O. Lebedev, K. Olive and M. Srednicki, Against tachyophobia, Phys. Rev. D 78 (2008) 075006 [arXiv:0806.3648] [SPIRES].
J.L. Evans, D.E. Morrissey and J.D. Wells, Vacuum stability with tachyonic boundary Higgs masses in no-scale supersymmetry or gaugino mediation, Phys. Rev. D 80 (2009) 095011 [arXiv:0812.3874] [SPIRES].
G. Bélanger, F. Boudjema, A. Pukhov and R.K. Singh, Constraining the MSSM with universal gaugino masses and implication for searches at the LHC, JHEP 11 (2009) 026 [arXiv:0906.5048] [SPIRES].
B.C. Allanach, Naturalness priors and fits to the constrained minimal supersymmetric standard model, Phys. Lett. B 635 (2006) 123 [hep-ph/0601089] [SPIRES].
R.R. de Austri, R. Trotta and L. Roszkowski, A Markov chain Monte Carlo analysis of the CMSSM, JHEP 05 (2006) 002 [hep-ph/0602028] [SPIRES].
B.C. Allanach, K. Cranmer, C.G. Lester and A.M. Weber, Natural priors, CMSSM fits and LHC weather forecasts, JHEP 08 (2007) 023 [arXiv:0705.0487] [SPIRES].
R. Trotta, F. Feroz, M.P. Hobson, L. Roszkowski and R. Ruiz de Austri, The impact of priors and observables on parameter inferences in the constrained MSSM, JHEP 12 (2008) 024 [arXiv:0809.3792] [SPIRES].
Joint LEP2 SUSY Working Group, ALEPH, DELPHI, L 3 and OPAL experiments homepage, http://lepsusy.web.cern.ch/lepsusy/.
ALEPH collaboration, S. Schael et al., Search for neutral MSSM Higgs bosons at LEP, Eur. Phys. J. C 47 (2006) 547 [hep-ex/0602042] [SPIRES].
Tevatron Electroweak Working Group collaboration, Combination of CDF and D 0 results on the mass of the top quark, arXiv:0903.2503 [SPIRES].
Particle Data Group collaboration, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].
Heavy Flavor Averaging Group collaboration, E. Barberio et al., Averages of b-hadron and c-hadron properties at the end of 2007, arXiv:0808.1297 [SPIRES].
M. Misiak et al., The first estimate of BR(B → X s γ) at O(α s 2 ), Phys. Rev. Lett. 98 (2007) 022002 [hep-ph/0609232] [SPIRES].
CDF collaboration, T. Aaltonen et al., Search for B 0s → μ + μ − and B d 0 → μ + μ − decays with 2fb− 1 of \( p\bar{p} \) collisions, Phys. Rev. Lett. 100 (2008) 101802 [arXiv:0712.1708] [SPIRES].
Z. Zhang, Muon g-2: a mini review, arXiv:0801.4905 [SPIRES].
WMAP collaboration, E. Komatsu et al., Five-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 180 (2009) 330 [arXiv:0803.0547] [SPIRES].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGA s2.0: a program to calculate the relic density of dark matter in a generic model, Comput. Phys. Commun. 176 (2007) 367 [hep-ph/0607059] [SPIRES].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, Dark matter direct detection rate in a generic model with MicrOMEGAs2.1, Comput. Phys. Commun. 180 (2009) 747 [arXiv:0803.2360] [SPIRES].
N. Jarosik et al., Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: sky maps, systematic errors and basic results, arXiv:1001.4744 [SPIRES].
E. Komatsu et al., Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, arXiv:1001.4538 [SPIRES].
R. Barbieri and G.F. Giudice, Upper bounds on supersymmetric particle masses, Nucl. Phys. B 306 (1988) 63 [SPIRES].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [SPIRES].
D. Martí and A. Pomarol, Supersymmetric theories with compact extra dimensions in N =1 superfields, Phys. Rev. D 64 (2001) 105025 [hep-th/0106256] [SPIRES].
K.-W. Choi, D.Y. Kim, I.-W. Kim and T. Kobayashi, SUSY flavor problem and warped geometry, hep-ph/0301131 [SPIRES].
K.-W. Choi, D.Y. Kim, I.-W. Kim and T. Kobayashi, Supersymmetry breaking in warped geometry, Eur. Phys. J. C 35 (2004) 267 [hep-ph/0305024] [SPIRES].
F. Brümmer, S. Fichet and S. Kraml, in preparation.
The CDMS-II collaboration, Z. Ahmed et al., Results from the final exposure of the CDMS II experiment, arXiv:0912.3592 [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1007.0321
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Brümmer, F., Fichet, S., Kraml, S. et al. On SUSY GUTs with a degenerate Higgs mass matrix. J. High Energ. Phys. 2010, 96 (2010). https://doi.org/10.1007/JHEP08(2010)096
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2010)096