Abstract
In order to accommodate the observed Higgs boson mass in the CMSSM, the stops must either be very heavy or the mixing in the stop sector must be very large. Lower stop masses, possibly more accessible at the LHC, still give the correct Higgs mass only if the trilinear stop mixing parameter |A t | is in the multi-TeV range. Recently it has been shown that such large stop mixing leads to an unstable electroweak vacuum which spontaneously breaks charge or color. In this work we therefore go beyond the CMSSM and investigate the effects of including baryon number violating operators \( \lambda^{\prime\prime}\overline{\mathbf{U}}\overline{\mathbf{D}}\overline{\mathbf{D}} \) on the stop and Higgs sectors. We find that for \( \lambda^{\prime\prime}\simeq \mathcal{O}(0.3) \) light stop masses as low as 220 GeV are consistent with the observed Higgs mass as well as flavour constraints while allowing for a stable vacuum. The light stop in this scenario is often the lightest supersymmetric particle. We furthermore discuss the importance of the one-loop corrections involving R-parity violating couplings for a valid prediction of the light stop masses.
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S.P. Martin, A supersymmetry primer, Adv. Ser. Direct. High Energy Phys. 21 (2010) 1 [hep-ph/9709356] [INSPIRE].
H.P. Nilles, Supersymmetry, supergravity and particle physics, Phys. Rept. 110 (1984) 1 [INSPIRE].
P. Bechtle et al., Constrained supersymmetry after the Higgs boson discovery: a global analysis with fittino, PoS(EPS-HEP 2013)313 [arXiv:1310.3045] [INSPIRE].
N. Craig, The state of supersymmetry after run I of the LHC, arXiv:1309.0528 [INSPIRE].
P. Bechtle et al., Constrained supersymmetry after two years of LHC data: a global view with fittino, JHEP 06 (2012) 098 [arXiv:1204.4199] [INSPIRE].
O. Buchmueller et al., The CMSSM and NUHM1 in light of 7 TeV LHC, B s → μ + μ − and XENON100 data, Eur. Phys. J. C 72 (2012) 2243 [arXiv:1207.7315] [INSPIRE].
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].
M.S. Carena et al., Reconciling the two loop diagrammatic and effective field theory computations of the mass of the lightest CP-even Higgs boson in the MSSM, Nucl. Phys. B 580 (2000) 29 [hep-ph/0001002] [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].
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].
N. Blinov and D.E. Morrissey, Vacuum stability and the MSSM Higgs mass, JHEP 03 (2014) 106 [arXiv:1310.4174] [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].
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, arXiv:1405.7376 [INSPIRE].
A. Birkedal, Z. Chacko and M.K. Gaillard, Little supersymmetry and the supersymmetric little hierarchy problem, JHEP 10 (2004) 036 [hep-ph/0404197] [INSPIRE].
S. Chang, P.J. Fox and N. Weiner, Naturalness and Higgs decays in the MSSM with a singlet, JHEP 08 (2006) 068 [hep-ph/0511250] [INSPIRE].
L.J. Hall, D. Pinner and J.T. Ruderman, A natural SUSY Higgs near 126 GeV, JHEP 04 (2012) 131 [arXiv:1112.2703] [INSPIRE].
A. Delgado, C. Kolda and A. de la Puente, Solving the hierarchy problem with a light singlet and supersymmetric mass terms, Phys. Lett. B 710 (2012) 460 [arXiv:1111.4008] [INSPIRE].
M. Perelstein and B. Shakya, XENON100 implications for naturalness in the MSSM, NMSSM and λ-supersymmetry model, Phys. Rev. D 88 (2013) 075003 [arXiv:1208.0833] [INSPIRE].
A. Kaminska, G.G. Ross and K. Schmidt-Hoberg, Non-universal gaugino masses and fine tuning implications for SUSY searches in the MSSM and the GNMSSM, JHEP 11 (2013) 209 [arXiv:1308.4168] [INSPIRE].
G.G. Ross, K. Schmidt-Hoberg and F. Staub, The generalised NMSSM at one loop: fine tuning and phenomenology, JHEP 08 (2012) 074 [arXiv:1205.1509] [INSPIRE].
G.G. Ross and K. Schmidt-Hoberg, The fine-tuning of the generalised NMSSM, Nucl. Phys. B 862 (2012) 710 [arXiv:1108.1284] [INSPIRE].
X. Lu, H. Murayama, J.T. Ruderman and K. Tobioka, A natural Higgs mass in supersymmetry from non-decoupling effects, Phys. Rev. Lett. 112 (2014) 191803 [arXiv:1308.0792] [INSPIRE].
A. Kaminska, G.G. Ross, K. Schmidt-Hoberg and F. Staub, A precision study of the fine tuning in the DiracNMSSM, JHEP 06 (2014) 153 [arXiv:1401.1816] [INSPIRE].
L.J. Hall and M. Suzuki, Explicit R-parity breaking in supersymmetric models, Nucl. Phys. B 231 (1984) 419 [INSPIRE].
R. Barbier et al., R-parity violating supersymmetry, Phys. Rept. 420 (2005) 1 [hep-ph/0406039] [INSPIRE].
H.K. Dreiner, An introduction to explicit R-parity violation, Adv. Ser. Direct. High Energy Phys. 21 (2010) 565 [hep-ph/9707435] [INSPIRE].
B.C. Allanach, A. Dedes and H.K. Dreiner, R-parity violating minimal supergravity model, Phys. Rev. D 69 (2004) 115002 [Erratum ibid. D 72 (2005) 079902] [hep-ph/0309196] [INSPIRE].
B.C. Allanach and B. Gripaios, Hide and seek with natural supersymmetry at the LHC, JHEP 05 (2012) 062 [arXiv:1202.6616] [INSPIRE].
M. Asano, K. Rolbiecki and K. Sakurai, Can R-parity violation hide vanilla supersymmetry at the LHC?, JHEP 01 (2013) 128 [arXiv:1209.5778] [INSPIRE].
R. Franceschini and R. Torre, RPV stops bump off the background, Eur. Phys. J. C 73 (2013) 2422 [arXiv:1212.3622] [INSPIRE].
J.A. Evans and Y. Kats, LHC coverage of RPV MSSM with light stops, JHEP 04 (2013) 028 [arXiv:1209.0764] [INSPIRE].
H.K. Dreiner and G.G. Ross, R-parity violation at hadron colliders, Nucl. Phys. B 365 (1991) 597 [INSPIRE].
H.K. Dreiner, S. Grab and T. Stefaniak, Discovery potential of selectron or smuon as the lightest supersymmetric particle at the LHC, Phys. Rev. D 84 (2011) 035023 [arXiv:1102.3189] [INSPIRE].
H.K. Dreiner and T. Stefaniak, Bounds on R-parity violation from resonant slepton production at the LHC, Phys. Rev. D 86 (2012) 055010 [arXiv:1201.5014] [INSPIRE].
H.K. Dreiner, F. Staub, A. Vicente and W. Porod, General MSSM signatures at the LHC with and without R-parity, Phys. Rev. D 86 (2012) 035021 [arXiv:1205.0557] [INSPIRE].
G.R. Farrar and P. Fayet, Phenomenology of the production, decay and detection of new hadronic states associated with supersymmetry, Phys. Lett. B 76 (1978) 575 [INSPIRE].
S. Weinberg, Supersymmetry at ordinary energies. 1. Masses and conservation laws, Phys. Rev. D 26 (1982) 287 [INSPIRE].
N. Sakai and T. Yanagida, Proton decay in a class of supersymmetric grand unified models, Nucl. Phys. B 197 (1982) 533 [INSPIRE].
A.H. Chamseddine and H.K. Dreiner, Anomaly free gauged R-symmetry in local supersymmetry, Nucl. Phys. B 458 (1996) 65 [hep-ph/9504337] [INSPIRE].
H.M. Lee et al., Discrete R-symmetries for the MSSM and its singlet extensions, Nucl. Phys. B 850 (2011) 1 [arXiv:1102.3595] [INSPIRE].
H.K. Dreiner, M. Hanussek and C. Luhn, What is the discrete gauge symmetry of the R-parity violating MSSM?, Phys. Rev. D 86 (2012) 055012 [arXiv:1206.6305] [INSPIRE].
J.E. Kim and H.P. Nilles, The μ problem and the strong CP problem, Phys. Lett. B 138 (1984) 150 [INSPIRE].
G.F. Giudice and A. Masiero, A natural solution to the μ problem in supergravity theories, Phys. Lett. B 206 (1988) 480 [INSPIRE].
J.L. Goity and M. Sher, Bounds on ΔB = 1 couplings in the supersymmetric standard model, Phys. Lett. B 346 (1995) 69 [Erratum ibid. B 385 (1996) 500] [hep-ph/9412208] [INSPIRE].
B.C. Allanach, A. Dedes and H.K. Dreiner, Bounds on R-parity violating couplings at the weak scale and at the GUT scale, Phys. Rev. D 60 (1999) 075014 [hep-ph/9906209] [INSPIRE].
H.K. Dreiner, K. Nickel and F. Staub, \( {B}_{s, d}^0\to\ \mu \overline{\mu} \) and B → X s γ in the R-parity violating MSSM, Phys. Rev. D 88 (2013) 115001 [arXiv:1309.1735] [INSPIRE].
H.P. Nilles, M. Srednicki and D. Wyler, Weak interaction breakdown induced by supergravity, Phys. Lett. B 120 (1983) 346 [INSPIRE].
H.E. Haber, The status of the minimal supersymmetric standard model and beyond, Nucl. Phys. Proc. Suppl. 62 (1998) 469 [hep-ph/9709450] [INSPIRE].
H.E. Haber and R. Hempfling, The renormalization group improved Higgs sector of the minimal supersymmetric model, Phys. Rev. D 48 (1993) 4280 [hep-ph/9307201] [INSPIRE].
M.S. Carena, M. Quirós and C.E.M. Wagner, Effective potential methods and the Higgs mass spectrum in the MSSM, Nucl. Phys. B 461 (1996) 407 [hep-ph/9508343] [INSPIRE].
S. Heinemeyer, W. Hollik and G. Weiglein, The mass of the lightest MSSM Higgs boson: a compact analytical expression at the two loop level, Phys. Lett. B 455 (1999) 179 [hep-ph/9903404] [INSPIRE].
ATLAS collaboration, Search for supersymmetry in events with large missing transverse momentum, jets and at least one tau lepton in 20 fb−1 of \( \sqrt{s} \) = 8 TeV proton-proton collision data with the ATLAS detector, arXiv:1407.0603 [INSPIRE].
B.C. Allanach, A. Dedes and H.K. Dreiner, Two loop supersymmetric renormalization group equations including R-parity violation and aspects of unification, Phys. Rev. D 60 (1999) 056002 [Erratum ibid. D 86 (2012) 039906] [hep-ph/9902251] [INSPIRE].
F. Staub, Automatic calculation of supersymmetric renormalization group equations and self energies, Comput. Phys. Commun. 182 (2011) 808 [arXiv:1002.0840] [INSPIRE].
F. Staub, W. Porod and B. Herrmann, The electroweak sector of the NMSSM at the one-loop level, JHEP 10 (2010) 040 [arXiv:1007.4049] [INSPIRE].
A. Donini, One loop corrections to the top, stop and gluino masses in the MSSM, Nucl. Phys. B 467 (1996) 3 [hep-ph/9511289] [INSPIRE].
F. Staub, SARAH, arXiv:0806.0538 [INSPIRE].
F. Staub, From superpotential to model files for FeynArts and CalcHep/CompHEP, Comput. Phys. Commun. 181 (2010) 1077 [arXiv:0909.2863] [INSPIRE].
F. Staub, SARAH 3.2: Dirac gauginos, UFO output and more, Comput. Phys. Commun. 184 (2013) 1792 [arXiv:1207.0906] [INSPIRE].
F. Staub, SARAH 4: a tool for (not only SUSY) model builders, Comput. Phys. Commun. 185 (2014) 1773 [arXiv:1309.7223] [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].
A. Brignole, G. Degrassi, P. Slavich and F. Zwirner, On the O(α 2 t ) two loop corrections to the neutral Higgs boson masses in the MSSM, Nucl. Phys. B 631 (2002) 195 [hep-ph/0112177] [INSPIRE].
G. Degrassi, P. Slavich and F. Zwirner, On the neutral Higgs boson masses in the MSSM for arbitrary stop mixing, Nucl. Phys. B 611 (2001) 403 [hep-ph/0105096] [INSPIRE].
A. Brignole, G. Degrassi, P. Slavich and F. Zwirner, On the two loop sbottom corrections to the neutral Higgs boson masses in the MSSM, Nucl. Phys. B 643 (2002) 79 [hep-ph/0206101] [INSPIRE].
A. Dedes and P. Slavich, Two loop corrections to radiative electroweak symmetry breaking in the MSSM, Nucl. Phys. B 657 (2003) 333 [hep-ph/0212132] [INSPIRE].
A. Dedes, G. Degrassi and P. Slavich, On the two loop Yukawa corrections to the MSSM Higgs boson masses at large tan β, Nucl. Phys. B 672 (2003) 144 [hep-ph/0305127] [INSPIRE].
B.C. Allanach, SOFTSUSY: a program for calculating supersymmetric spectra, Comput. Phys. Commun. 143 (2002) 305 [hep-ph/0104145] [INSPIRE].
B.C. Allanach and M.A. Bernhardt, Including R-parity violation in the numerical computation of the spectrum of the minimal supersymmetric standard model: SOFTSUSY, Comput. Phys. Commun. 181 (2010) 232 [arXiv:0903.1805] [INSPIRE].
B.C. Allanach, S. Kraml and W. Porod, Theoretical uncertainties in sparticle mass predictions from computational tools, JHEP 03 (2003) 016 [hep-ph/0302102] [INSPIRE].
B.C. Allanach, A. Djouadi, J.L. Kneur, W. Porod and P. Slavich, Precise determination of the neutral Higgs boson masses in the MSSM, JHEP 09 (2004) 044 [hep-ph/0406166] [INSPIRE].
P. Bechtle, O. Brein, S. Heinemeyer, G. Weiglein and K.E. Williams, HiggsBounds: confronting arbitrary Higgs sectors with exclusion bounds from LEP and the Tevatron, Comput. Phys. Commun. 181 (2010) 138 [arXiv:0811.4169] [INSPIRE].
P. Bechtle, O. Brein, S. Heinemeyer, G. Weiglein and K.E. Williams, HiggsBounds 2.0.0: confronting neutral and charged Higgs sector predictions with exclusion bounds from LEP and the Tevatron, Comput. Phys. Commun. 182 (2011) 2605 [arXiv:1102.1898] [INSPIRE].
P. Bechtle et al., Recent developments in HiggsBounds and a preview of HiggsSignals, PoS(CHARGED 2012)024 [arXiv:1301.2345] [INSPIRE].
P. Bechtle et al., HiggsBounds-4: improved tests of extended Higgs sectors against exclusion bounds from LEP, the Tevatron and the LHC, Eur. Phys. J. C 74 (2014) 2693 [arXiv:1311.0055] [INSPIRE].
P. Bechtle, S. Heinemeyer, O. Stal, T. Stefaniak and G. Weiglein, HiggsSignals: confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC, Eur. Phys. J. C 74 (2014) 2711 [arXiv:1305.1933] [INSPIRE].
P. Bechtle, S. Heinemeyer, O. Stål, T. Stefaniak and G. Weiglein, Probing the standard model with Higgs signal rates from the Tevatron, the LHC and a future ILC, arXiv:1403.1582 [INSPIRE].
A. Belyaev, S. Khalil, S. Moretti and M.C. Thomas, Light sfermion interplay in the 125 GeV MSSM Higgs production and decay at the LHC, JHEP 05 (2014) 076 [arXiv:1312.1935] [INSPIRE].
W. Porod, F. Staub and A. Vicente, A flavor kit for BSM models, arXiv:1405.1434 [INSPIRE].
H. Dreiner, K. Nickel, W. Porod and F. Staub, Full 1-loop calculation of \( BR\left({B}_{s, d}^0\to \ell \overline{\ell}\right) \) in models beyond the MSSM with SARAH and SPheno, Comput. Phys. Commun. 184 (2013) 2604 [arXiv:1212.5074] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of particle physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
M. Misiak, \( \overline{B} \) → X s γ: current status, Acta Phys. Polon. B 40 (2009) 2987 [arXiv:0911.1651] [INSPIRE].
Heavy Flavor Averaging Group collaboration, D. Asner et al., Averages of b-hadron, c-hadron and τ-lepton properties, arXiv:1010.1589 [INSPIRE].
Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [INSPIRE].
U. Haisch and F. Mahmoudi, MSSM: cornered and correlated, JHEP 01 (2013) 061 [arXiv:1210.7806] [INSPIRE].
CMS collaboration, Measurement of the B 0 s → μ + μ − branching fraction and search for B 0 → μ + μ − with the CMS experiment, Phys. Rev. Lett. 111 (2013) 101804 [arXiv:1307.5025] [INSPIRE].
LHCb collaboration, Measurement of the B 0 s → μ+μ− branching fraction and search for B 0 → μ + μ − decays at the LHCb experiment, Phys. Rev. Lett. 111 (2013) 101805 [arXiv:1307.5024] [INSPIRE].
A.J. Buras, M. Jamin and P.H. Weisz, Leading and next-to-leading QCD corrections to ϵ parameter and \( {B}^0-{\overline{B}}^0 \) mixing in the presence of a heavy top quark, Nucl. Phys. B 347 (1990) 491 [INSPIRE].
E. Golowich, J. Hewett, S. Pakvasa, A.A. Petrov and G.K. Yeghiyan, Relating B s mixing and B s → μ + μ − with new physics, Phys. Rev. D 83 (2011) 114017 [arXiv:1102.0009] [INSPIRE].
M. Arana-Catania, The flavour of supersymmetry: phenomenological implications of sfermion mixing, arXiv:1312.4888 [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].
F. Staub, T. Ohl, W. Porod and C. Speckner, A tool box for implementing supersymmetric models, Comput. Phys. Commun. 183 (2012) 2165 [arXiv:1109.5147] [INSPIRE].
ATLAS collaboration, Search for squarks and gluinos with the ATLAS detector in final states with jets and missing transverse momentum using \( \sqrt{s} \) = 8 TeV proton-proton collision data, arXiv:1405.7875 [INSPIRE].
CMS collaboration, Search for three-jet resonances in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Lett. B 718 (2012) 329 [arXiv:1208.2931] [INSPIRE].
CMS collaboration, Searches for light- and heavy-flavour three-jet resonances in pp collisions at \( \sqrt{s} \) = 8 TeV, Phys. Lett. B 730 (2014) 193 [arXiv:1311.1799] [INSPIRE].
J. Ellis, K.A. Olive and J. Zheng, The extent of the stop coannihilation strip, arXiv:1404.5571 [INSPIRE].
CMS collaboration, Search for pair-produced dijet resonances in four-jet final states in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Rev. Lett. 110 (2013) 141802 [arXiv:1302.0531] [INSPIRE].
CMS collaboration, Search for resonances in the dijet mass spectrum from 7 TeV pp collisions at CMS, Phys. Lett. B 704 (2011) 123 [arXiv:1107.4771] [INSPIRE].
CMS collaboration, Search for narrow resonances using the dijet mass spectrum in pp collisions at \( \sqrt{s} \) = 8 TeV, Phys. Rev. D 87 (2013) 114015 [arXiv:1302.4794] [INSPIRE].
ATLAS collaboration, Search for new physics in the dijet mass distribution using 1 fb−1 of pp collision data at \( \sqrt{s} \) = 7 TeV collected by the ATLAS detector, Phys. Lett. B 708 (2012) 37 [arXiv:1108.6311] [INSPIRE].
ATLAS collaboration, ATLAS search for new phenomena in dijet mass and angular distributions using pp collisions at \( \sqrt{s} \) = 7 TeV, JHEP 01 (2013) 029 [arXiv:1210.1718] [INSPIRE].
ATLAS collaboration, Search for new phenomena in the dijet mass distribution updated using 13.0 fb−1 of pp collisions at \( \sqrt{s} \) = 8 TeV collected by the ATLAS detector, ATLAS-CONF-2012-148, CERN, Geneva Switzerland (2012).
D. Duggan et al., Sensitivity of an upgraded LHC to R-parity violating signatures of the MSSM, arXiv:1308.3903 [INSPIRE].
Y. Bai, A. Katz and B. Tweedie, Pulling out all the stops: searching for RPV SUSY with stop-jets, JHEP 01 (2014) 040 [arXiv:1309.6631] [INSPIRE].
G. Passarino and M.J.G. Veltman, One loop corrections for e + e − annihilation into μ + μ − in the Weinberg model, Nucl. Phys. B 160 (1979) 151 [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].
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Chamoun, N., Dreiner, H.K., Staub, F. et al. Resurrecting light stops after the 125 GeV Higgs in the baryon number violating CMSSM. J. High Energ. Phys. 2014, 142 (2014). https://doi.org/10.1007/JHEP08(2014)142
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DOI: https://doi.org/10.1007/JHEP08(2014)142