Abstract
A consistent theoretical description of physics at high energies requires an assessment of vacuum stability in either the Standard Model or any extension of it. Especially supersymmetric extensions allow for several vacua and the choice of the desired electroweak one gives strong constraints on the parameter space. As the general parameter space in the Minimal Supersymmetric Standard Model is huge, any severe constraint on it unrelated to direct phenomenological observations enhances the predictability of the model. We perform an updated analysis of possible charge and color breaking minima without relying on fixed directions in field space that minimize certain terms in the potential (known as “D-flat” directions). Concerning the cosmological stability of false vacua, we argue that there are always directions in configuration space which lead to very short-lived vacua and therefore such exclusions are strict. In addition to existing strong constraints on the parameter space, we find even stronger constraints extending the field space compared to previous analyses and combine those constraints with predictions for the light CP-even Higgs mass in the Minimal Supersymmetric Standard Model. Low masses for supersymmetric partners are excluded from vacuum stability in combination with the 125 GeV Higgs and the allowed parameter space opens at a few TeV.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
ATLAS, CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, arXiv:1606.02266 [INSPIRE].
S. Weinberg, Implications of Dynamical Symmetry Breaking, Phys. Rev. D 13 (1976) 974 [INSPIRE].
S. Weinberg, Implications of Dynamical Symmetry Breaking: An Addendum, Phys. Rev. D 19 (1979)1277 [INSPIRE].
E. Gildener, Gauge Symmetry Hierarchies, Phys. Rev. D 14 (1976) 1667 [INSPIRE].
L. Susskind, Dynamics of Spontaneous Symmetry Breaking in the Weinberg-Salam Theory, Phys. Rev. D 20 (1979) 2619 [INSPIRE].
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, G. Isidori, A. Riotto and A. Strumia, Higgs mass implications on the stability of the electroweak vacuum, Phys. Lett. B 709 (2012) 222 [arXiv:1112.3022] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
M. Zoller, Vacuum stability in the SM and the three-loop β-function for the Higgs self-interaction, in What We Would Like LHC to Give Us, A. Zichichi ed., World Scientific (2014), pg. 557-566.
K.G. Chetyrkin and M.F. Zoller, β-function for the Higgs self-interaction in the Standard Model at three-loop level, JHEP 04 (2013) 091 [Erratum ibid. 09 (2013) 155] [arXiv:1303.2890] [INSPIRE].
V. Branchina and E. Messina, Stability, Higgs Boson Mass and New Physics, Phys. Rev. Lett. 111 (2013) 241801 [arXiv:1307.5193] [INSPIRE].
V. Branchina, E. Messina and A. Platania, Top mass determination, Higgs inflation and vacuum stability, JHEP 09 (2014) 182 [arXiv:1407.4112] [INSPIRE].
B.A. Kniehl, A.F. Pikelner and O.L. Veretin, Two-loop electroweak threshold corrections in the Standard Model, Nucl. Phys. B 896 (2015) 19 [arXiv:1503.02138] [INSPIRE].
S. Di Vita and C. Germani, Electroweak vacuum stability and inflation via nonminimal derivative couplings to gravity, Phys. Rev. D 93 (2016) 045005 [arXiv:1508.04777] [INSPIRE].
L. Di Luzio, G. Isidori and G. Ridolfi, Stability of the electroweak ground state in the Standard Model and its extensions, Phys. Lett. B 753 (2016) 150 [arXiv:1509.05028] [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
Y. Chikashige, R.N. Mohapatra and R.D. Peccei, Spontaneously Broken Lepton Number and Cosmological Constraints on the Neutrino Mass Spectrum, Phys. Rev. Lett. 45 (1980) 1926 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Decay and Spontaneous Violation of Lepton Number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
R. Kuchimanchi and R.N. Mohapatra, No parity violation without R-parity violation, Phys. Rev. D 48 (1993) 4352 [hep-ph/9306290] [INSPIRE].
J.M. Frere, D.R.T. Jones and S. Raby, Fermion Masses and Induction of the Weak Scale by Supergravity, Nucl. Phys. B 222 (1983) 11 [INSPIRE].
J.F. Gunion, H.E. Haber and M. Sher, Charge/Color Breaking Minima and a-Parameter Bounds in Supersymmetric Models, Nucl. Phys. B 306 (1988) 1 [INSPIRE].
M. Drees, M. Gluck and K. Grassie, A New Class of False Vacua in Low-energy N = 1 Supergravity Theories, Phys. Lett. B 157 (1985) 164 [INSPIRE].
H. Komatsu, New Constraints on Parameters in the Minimal Supersymmetric Model, Phys. Lett. B 215 (1988) 323 [INSPIRE].
P. Langacker and N. Polonsky, Implications of Yukawa unification for the Higgs sector in supersymmetric grand unified models, Phys. Rev. D 50 (1994) 2199 [hep-ph/9403306] [INSPIRE].
A. Strumia, Charge and color breaking minima and constraints on the MSSM parameters, Nucl. Phys. B 482 (1996) 24 [hep-ph/9604417] [INSPIRE].
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] [INSPIRE].
C. Le Mouel, Optimal charge and color breaking conditions in the MSSM, Nucl. Phys. B 607 (2001)38 [hep-ph/0101351] [INSPIRE].
C. Le Mouel and G. Moultaka, Novel electroweak symmetry breaking conditions from quantum effects in the MSSM, Nucl. Phys. B 518 (1998) 3 [hep-ph/9711356] [INSPIRE].
P.M. Ferreira, A Full one loop charge and color breaking effective potential, Phys. Lett. B 509 (2001) 120 [Erratum ibid. B 518 (2001) 333] [hep-ph/0008115] [INSPIRE].
P.M. Ferreira, Minimization of a one loop charge breaking effective potential, Phys. Lett. B 512 (2001) 379 [Erratum ibid. B 518 (2001) 334] [hep-ph/0102141] [INSPIRE].
P.M. Ferreira, One-loop charge and colour breaking associated with the top Yukawa coupling, hep-ph/0406234 [INSPIRE].
M. Claudson, L.J. Hall and I. Hinchliffe, Low-Energy Supergravity: False Vacua and Vacuous Predictions, Nucl. Phys. B 228 (1983) 501 [INSPIRE].
A. Kusenko, P. Langacker and G. Segre, Phase transitions and vacuum tunneling into charge and color breaking minima in the MSSM, Phys. Rev. D 54 (1996) 5824 [hep-ph/9602414] [INSPIRE].
J.A. Casas and S. Dimopoulos, Stability bounds on flavor violating trilinear soft terms in the MSSM, Phys. Lett. B 387 (1996) 107 [hep-ph/9606237] [INSPIRE].
J.-h. Park, Metastability bounds on flavour-violating trilinear soft terms in the MSSM, Phys. Rev. D 83 (2011) 055015 [arXiv:1011.4939] [INSPIRE].
C.L. Wainwright, CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields, Comput. Phys. Commun. 183 (2012) 2006 [arXiv:1109.4189] [INSPIRE].
J.E. Camargo-Molina, B. O’Leary, W. Porod and F. Staub, Vevacious: A Tool For Finding The Global Minima Of One-Loop Effective Potentials With Many Scalars, Eur. Phys. J. C 73 (2013)2588 [arXiv:1307.1477] [INSPIRE].
D. Chowdhury, R.M. Godbole, K.A. Mohan and S.K. Vempati, Charge and Color Breaking Constraints in MSSM after the Higgs Discovery at LHC, JHEP 02 (2014) 110 [arXiv:1310.1932] [INSPIRE].
U. Chattopadhyay and A. Dey, Exploring MSSM for Charge and Color Breaking and Other Constraints in the Context of Higgs@125 GeV, JHEP 11 (2014) 161 [arXiv:1409.0611] [INSPIRE].
N. Blinov and D.E. Morrissey, Vacuum Stability and the MSSM Higgs Mass, JHEP 03 (2014) 106 [arXiv:1310.4174] [INSPIRE].
M. Bobrowski, G. Chalons, W.G. Hollik and U. Nierste, Vacuum stability of the effective Higgs potential in the Minimal Supersymmetric Standard Model, Phys. Rev. D 90 (2014) 035025 [arXiv:1407.2814] [INSPIRE].
W.G. Hollik, Charge and color breaking constraints in the Minimal Supersymmetric Standard Model associated with the bottom Yukawa coupling, Phys. Lett. B 752 (2016) 7 [arXiv:1508.07201] [INSPIRE].
W. Altmannshofer, M. Carena, N.R. Shah and F. Yu, Indirect Probes of the MSSM after the Higgs Discovery, JHEP 01 (2013) 160 [arXiv:1211.1976] [INSPIRE].
J.E. Camargo-Molina, B. Garbrecht, B. O’Leary, W. Porod and F. Staub, Constraining the Natural MSSM through tunneling to color-breaking vacua at zero and non-zero temperature, Phys. Lett. B 737 (2014) 156 [arXiv:1405.7376] [INSPIRE].
J.E. Camargo-Molina, B. O’Leary, W. Porod and F. Staub, Stability of the CMSSM against sfermion VEVs, JHEP 12 (2013) 103 [arXiv:1309.7212] [INSPIRE].
W. Altmannshofer, C. Frugiuele and R. Harnik, Fermion Hierarchy from Sfermion Anarchy, JHEP 12 (2014) 180 [arXiv:1409.2522] [INSPIRE].
E. Bagnaschi, F. Brümmer, W. Buchmüller, A. Voigt and G. Weiglein, Vacuum stability and supersymmetry at high scales with two Higgs doublets, JHEP 03 (2016) 158 [arXiv:1512.07761] [INSPIRE].
ATLAS, CMS collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s}=7 \) and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015)191803 [arXiv:1503.07589] [INSPIRE].
J.R. Ellis, G. Ridolfi and F. Zwirner, Radiative corrections to the masses of supersymmetric Higgs bosons, Phys. Lett. B 257 (1991) 83 [INSPIRE].
R. Barbieri, M. Frigeni and F. Caravaglios, The Supersymmetric Higgs for heavy superpartners, Phys. Lett. B 258 (1991) 167 [INSPIRE].
J.L. Feng, P. Kant, S. Profumo and D. Sanford, Three-Loop Corrections to the Higgs Boson Mass and Implications for Supersymmetry at the LHC, Phys. Rev. Lett. 111 (2013) 131802 [arXiv:1306.2318] [INSPIRE].
M. Carena, S. Heinemeyer, O. St al, C.E.M. Wagner and G. Weiglein, MSSM Higgs Boson Searches at the LHC: Benchmark Scenarios after the Discovery of a Higgs-like Particle, Eur. Phys. J. C 73 (2013) 2552 [arXiv:1302.7033] [INSPIRE].
O. Buchmueller et al., The CMSSM and NUHM1 after LHC Run 1, Eur. Phys. J. C 74 (2014) 2922 [arXiv:1312.5250] [INSPIRE].
A. Djouadi and A. Pilaftsis, The 750 GeV Diphoton Resonance in the MSSM, arXiv:1605.01040 [INSPIRE].
ATLAS collaboration, Search for resonances decaying to photon pairs in 3.2 f b −1 of pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2015-081.
CMS collaboration, Search for new physics in high mass diphoton events in proton-proton collisions at \( \sqrt{s}=13 \) TeV, CMS-PAS-EXO-15-004.
W.G. Hollik, Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories, arXiv:1505.07764 [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
R. Jackiw, Functional evaluation of the effective potential, Phys. Rev. D 9 (1974) 1686 [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
C.D. Froggatt and H.B. Nielsen, Standard model criticality prediction: Top mass 173 ± 5 GeV and Higgs mass 135 ± 9 GeV, Phys. Lett. B 368 (1996) 96 [hep-ph/9511371] [INSPIRE].
M.J. Duncan and L.G. Jensen, Exact tunneling solutions in scalar field theory, Phys. Lett. B 291 (1992) 109 [INSPIRE].
S.R. Coleman, The Fate of the False Vacuum. 1. Semiclassical Theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. D 16 (1977) 1248] [INSPIRE].
ATLAS collaboration, Search for neutral Higgs bosons of the minimal supersymmetric standard model in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 11 (2014) 056 [arXiv:1409.6064] [INSPIRE].
CMS collaboration, Search for neutral MSSM Higgs bosons decaying to a pair of tau leptons in pp collisions, JHEP 10 (2014) 160 [arXiv:1408.3316] [INSPIRE].
T. Hahn, S. Heinemeyer, W. Hollik, H. Rzehak and G. Weiglein, High-Precision Predictions for the Light CP -Even Higgs Boson Mass of the Minimal Supersymmetric Standard Model, Phys. Rev. Lett. 112 (2014) 141801 [arXiv:1312.4937] [INSPIRE].
M. Frank, T. Hahn, S. Heinemeyer, W. Hollik, H. Rzehak and G. Weiglein, The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach, JHEP 02 (2007) 047 [hep-ph/0611326] [INSPIRE].
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] [INSPIRE].
S. Heinemeyer, W. Hollik and G. Weiglein, The Masses of the neutral CP-even Higgs bosons in the MSSM: Accurate analysis at the two loop level, Eur. Phys. J. C 9 (1999) 343 [hep-ph/9812472] [INSPIRE].
S. Heinemeyer, W. Hollik and G. Weiglein, FeynHiggs: A program for the calculation of the masses of the neutral CP even Higgs bosons in the MSSM, Comput. Phys. Commun. 124 (2000)76 [hep-ph/9812320] [INSPIRE].
A.J. Bordner, Parameter bounds in the supersymmetric standard model from charge/color breaking vacua, hep-ph/9506409 [INSPIRE].
L.J. Hall, R. Rattazzi and U. Sarid, The top quark mass in supersymmetric SO(10) unification, Phys. Rev. D 50 (1994) 7048 [hep-ph/9306309] [INSPIRE].
M. Carena, M. Olechowski, S. Pokorski and C.E.M. Wagner, Electroweak symmetry breaking and bottom-top Yukawa unification, Nucl. Phys. B 426 (1994) 269 [hep-ph/9402253] [INSPIRE].
D.M. Pierce, J.A. Bagger, K.T. Matchev and R.-j. Zhang, Precision corrections in the minimal supersymmetric standard model, Nucl. Phys. B 491 (1997) 3 [hep-ph/9606211] [INSPIRE].
M. Carena, D. Garcia, U. Nierste and C.E.M. Wagner, Effective Lagrangian for the tbH + interaction in the MSSM and charged Higgs phenomenology, Nucl. Phys. B 577 (2000) 88 [hep-ph/9912516] [INSPIRE].
W. Porod, SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e + e − colliders, Comput. Phys. Commun. 153 (2003) 275 [hep-ph/0301101] [INSPIRE].
W. Porod and F. Staub, SPheno 3.1: Extensions including flavour, CP-phases and models beyond the MSSM, Comput. Phys. Commun. 183 (2012) 2458 [arXiv:1104.1573] [INSPIRE].
B.C. Allanach, SOFTSUSY: a program for calculating supersymmetric spectra, Comput. Phys. Commun. 143 (2002) 305 [hep-ph/0104145] [INSPIRE].
A. Djouadi, J.-L. Kneur and G. Moultaka, SuSpect: A Fortran code for the supersymmetric and Higgs particle spectrum in the MSSM, Comput. Phys. Commun. 176 (2007) 426 [hep-ph/0211331] [INSPIRE].
P. Marquard and N. Zerf, SLAM, a Mathematica interface for SUSY spectrum generators, Comput. Phys. Commun. 185 (2014) 1153 [arXiv:1309.1731] [INSPIRE].
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Hollik, W.G. A new view on vacuum stability in the MSSM. J. High Energ. Phys. 2016, 126 (2016). https://doi.org/10.1007/JHEP08(2016)126
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DOI: https://doi.org/10.1007/JHEP08(2016)126