Abstract
We study deviations between MSSM and Z 3-invariant NMSSM, with respect to their predictions in ΔF = 2 processes. We find that potentially significant effects arise either from the well known double-penguin diagrams, due to the extra scalar NMSSM states, or from neutralino-gluino box contributions, due to the extended neutralino sector. Both are discussed to be effective in the large tan β regime. Enhanced genuine-NMSSM contributions in double penguins are expected for a light singlet spectrum (CP-even, CP-odd), while the magnitude of box effects is primarily controlled through singlino mixing. The latter is found to be typically subleading (but non-negligible) for λ ≲ 0.5, however it can become dominant for \( \uplambda \sim \mathcal{O}(1) \). We also study the low tan β regime, where a distinction between MSSM and NMSSM can come instead due to experimental constraints, acting differently on the allowed parameter space of each model. To this end, we incorporate the LHC Run-I limits from H → Z Z, A → h Z and H ± → τ ν non-observation along with Higgs observables and set (different) upper bounds for new physics contributions in ΔF = 2 processes. We find that a ∼ 25% contribution in ΔM s(d) is still possible for MFV models, however such a large effect is nowadays severely constrained for the case of MSSM, due to stronger bounds on the charged Higgs masses.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Dimopoulos and H. Georgi, Softly Broken Supersymmetry and SU(5), Nucl. Phys. B 193 (1981) 150 [INSPIRE].
P. Fayet, Supergauge Invariant Extension of the Higgs Mechanism and a Model for the electron and Its Neutrino, Nucl. Phys. B 90 (1975) 104 [INSPIRE].
J.R. Ellis, J.F. Gunion, H.E. Haber, L. Roszkowski and F. Zwirner, Higgs Bosons in a Nonminimal Supersymmetric Model, Phys. Rev. D 39 (1989) 844 [INSPIRE].
C. Panagiotakopoulos and K. Tamvakis, New minimal extension of MSSM, Phys. Lett. B 469 (1999) 145 [hep-ph/9908351] [INSPIRE].
V. Barger, P. Langacker and G. Shaughnessy, Singlet extensions of the MSSM, AIP Conf. Proc. 903 (2007) 32 [hep-ph/0611112] [INSPIRE].
M. Cvetič, D.A. Demir, J.R. Espinosa, L.L. Everett and P. Langacker, Electroweak breaking and the mu problem in supergravity models with an additional U(1), Phys. Rev. D 56 (1997) 2861 [Erratum ibid. D 58 (1998) 119905] [hep-ph/9703317] [INSPIRE].
U. Ellwanger, C. Hugonie and A.M. Teixeira, The Next-to-Minimal Supersymmetric Standard Model, Phys. Rept. 496 (2010) 1 [arXiv:0910.1785] [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].
A. Djouadi and J. Quevillon, The MSSM Higgs sector at a high M SUSY : reopening the low tan β regime and heavy Higgs searches, JHEP 10 (2013) 028 [arXiv:1304.1787] [INSPIRE].
A. Djouadi, L. Maiani, A. Polosa, J. Quevillon and V. Riquer, Fully covering the MSSM Higgs sector at the LHC, JHEP 06 (2015) 168 [arXiv:1502.05653] [INSPIRE].
A. Djouadi, L. Maiani, G. Moreau, A. Polosa, J. Quevillon and V. Riquer, The post-Higgs MSSM scenario: Habemus MSSM?, Eur. Phys. J. C 73 (2013) 2650 [arXiv:1307.5205] [INSPIRE].
J.-J. Cao, Z.-X. Heng, J.M. Yang, Y.-M. Zhang and J.-Y. Zhu, A SM-like Higgs near 125 GeV in low energy SUSY: a comparative study for MSSM and NMSSM, JHEP 03 (2012) 086 [arXiv:1202.5821] [INSPIRE].
K.S. Jeong, Y. Shoji and M. Yamaguchi, Higgs Mixing in the NMSSM and Light Higgsinos, JHEP 11 (2014) 148 [arXiv:1407.0955] [INSPIRE].
R. Barbieri, L.J. Hall, Y. Nomura and V.S. Rychkov, Supersymmetry without a Light Higgs Boson, Phys. Rev. D 75 (2007) 035007 [hep-ph/0607332] [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].
W. Altmannshofer, A.J. Buras and D. Guadagnoli, The MFV limit of the MSSM for low tan β: Meson mixings revisited, JHEP 11 (2007) 065 [hep-ph/0703200] [INSPIRE].
A.J. Buras, Weak Hamiltonian, CP-violation and rare decays, hep-ph/9806471 [INSPIRE].
A.J. Buras, P. Gambino, M. Gorbahn, S. Jager and L. Silvestrini, Universal unitarity triangle and physics beyond the standard model, Phys. Lett. B 500 (2001) 161 [hep-ph/0007085] [INSPIRE].
A.J. Buras, P.H. Chankowski, J. Rosiek and L. Slawianowska, ΔM d,s , B 0 d, s → μ + μ − and B → X s γ in supersymmetry at large tan β, Nucl. Phys. B 659 (2003) 3 [hep-ph/0210145] [INSPIRE].
A.J. Buras, Relations between Δ M(s, d ) and B(s, d ) → \( \mu \overline{\mu} \) in models with minimal flavor violation, Phys. Lett. B 566 (2003) 115 [hep-ph/0303060] [INSPIRE].
A.J. Buras, P.H. Chankowski, J. Rosiek and L. Slawianowska, Correlation between ΔM s and B 0 s,d → μ + μ − in supersymmetry at large tan β, Phys. Lett. B 546 (2002) 96 [hep-ph/0207241] [INSPIRE].
A.J. Buras, P.H. Chankowski, J. Rosiek and L. Slawianowska, ΔM (s)/ΔM (d), sin 2β and the angle γ in the presence of new ΔF = 2 operators, Nucl. Phys. B 619 (2001) 434 [hep-ph/0107048] [INSPIRE].
A.J. Buras, S. Jager and J. Urban, Master formulae for ΔF = 2 NLO QCD factors in the standard model and beyond, Nucl. Phys. B 605 (2001) 600 [hep-ph/0102316] [INSPIRE].
J. Virto, Top mass dependent \( \mathcal{O}\left({\alpha}_s^3\right) \) corrections to B-meson mixing in the MSSM, JHEP 01 (2012) 120 [arXiv:1111.0940] [INSPIRE].
J. Virto, Exact NLO strong interaction corrections to the ΔF = 2 effective Hamiltonian in the MSSM, JHEP 11 (2009) 055 [arXiv:0907.5376] [INSPIRE].
F.S. Queiroz, C. Siqueira and J.W.F. Valle, Constraining Flavor Changing Interactions from LHC Run-2 Dilepton Bounds with Vector Mediators, arXiv:1608.07295 [INSPIRE].
F. Gabbiani, E. Gabrielli, A. Masiero and L. Silvestrini, A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model, Nucl. Phys. B 477 (1996) 321 [hep-ph/9604387] [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: An effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
R. Barbieri, G. Isidori, J. Jones-Perez, P. Lodone and D.M. Straub, U(2) and Minimal Flavour Violation in Supersymmetry, Eur. Phys. J. C 71 (2011) 1725 [arXiv:1105.2296] [INSPIRE].
R. Barbieri, D. Buttazzo, F. Sala and D.M. Straub, Flavour physics and flavour symmetries after the first LHC phase, JHEP 05 (2014) 105 [arXiv:1402.6677] [INSPIRE].
A. Dedes, M. Paraskevas, J. Rosiek, K. Suxho and K. Tamvakis, Mass Insertions vs. Mass Eigenstates calculations in Flavour Physics, JHEP 06 (2015) 151 [arXiv:1504.00960] [INSPIRE].
J. Rosiek, P. Chankowski, A. Dedes, S. Jager and P. Tanedo, SUSY_FLAVOR: A computational tool for FCNC and CP-violating processes in the MSSM, Comput. Phys. Commun. 181 (2010) 2180 [arXiv:1003.4260] [INSPIRE].
A. Crivellin, J. Rosiek, P.H. Chankowski, A. Dedes, S. Jaeger and P. Tanedo, SUSY_FLAVOR v2: A computational tool for FCNC and CP-violating processes in the MSSM, Comput. Phys. Commun. 184 (2013) 1004 [arXiv:1203.5023] [INSPIRE].
J. Rosiek, SUSY FLAVOR v2.5: a computational tool for FCNC and CP-violating processes in the MSSM, Comput. Phys. Commun. 188 (2015) 208 [arXiv:1410.0606] [INSPIRE].
Fermilab Lattice, MILC collaborations, A. Bazavov et al., B 0(s) -mixing matrix elements from lattice QCD for the Standard Model and beyond, Phys. Rev. D 93 (2016) 113016 [arXiv:1602.03560] [INSPIRE].
J. Rosiek, Complete Set of Feynman Rules for the Minimal Supersymmetric Extension of the Standard Model, Phys. Rev. D 41 (1990) 3464 [INSPIRE].
J. Rosiek, Complete set of Feynman rules for the MSSM: Erratum, hep-ph/9511250 [INSPIRE].
M. Paraskevas, Aspects of the Flavour Expansion Theorem, PoS(PLANCK 2015)098 [arXiv:1511.00015] [INSPIRE].
J. Rosiek, MassToMI — A Mathematica package for an automatic Mass Insertion expansion, Comput. Phys. Commun. 201 (2016) 144 [arXiv:1509.05030] [INSPIRE].
M. Blanke and A.J. Buras, Universal Unitarity Triangle 2016 and the tension between ΔM s,d and ε K in CMFV models, Eur. Phys. J. C 76 (2016) 197 [arXiv:1602.04020] [INSPIRE].
A. Crivellin and M. Davidkov, Do squarks have to be degenerate? Constraining the mass splitting with Kaon and D mixing, Phys. Rev. D 81 (2010) 095004 [arXiv:1002.2653] [INSPIRE].
A. Arhrib, C.-K. Chua and W.-S. Hou, Supersymmetric model contributions to \( {B}_d^0-{\overline{B}}_d^0 \) mixing and B → ππ, ργ decays, Eur. Phys. J. C 21 (2001) 567 [hep-ph/0104122] [INSPIRE].
C.-S. Huang and Q.-S. Yan, B → X s τ + τ − in the flipped SU(5) model, Phys. Lett. B 442 (1998) 209 [hep-ph/9803366] [INSPIRE].
A. Dedes and A. Pilaftsis, Resummed effective Lagrangian for Higgs mediated FCNC interactions in the CP-violating MSSM, Phys. Rev. D 67 (2003) 015012 [hep-ph/0209306] [INSPIRE].
A. Dedes, The Higgs penguin and its applications: An overview, Mod. Phys. Lett. A 18 (2003) 2627 [hep-ph/0309233] [INSPIRE].
R.N. Hodgkinson and A. Pilaftsis, Supersymmetric Higgs Singlet Effects on B-Meson FCNC Observables at Large tan β, Phys. Rev. D 78 (2008) 075004 [arXiv:0807.4167] [INSPIRE].
A. Crivellin and Y. Yamada, Higgs-bosons couplings to quarks and leptons in the supersymmetric Standard Model with a gauge singlet, JHEP 11 (2015) 056 [arXiv:1508.02855] [INSPIRE].
G. Hiller, B physics signals of the lightest CP odd Higgs in the NMSSM at large tan beta, Phys. Rev. D 70 (2004) 034018 [hep-ph/0404220] [INSPIRE].
F. Domingo and U. Ellwanger, Updated Constraints from B Physics on the MSSM and the NMSSM, JHEP 12 (2007) 090 [arXiv:0710.3714] [INSPIRE].
A. Crivellin, L. Hofer and J. Rosiek, Complete resummation of chirally-enhanced loop-effects in the MSSM with non-minimal sources of flavor-violation, JHEP 07 (2011) 017 [arXiv:1103.4272] [INSPIRE].
K. Cheung, T.-J. Hou, J.S. Lee and E. Senaha, The Higgs Boson Sector of the Next-to-MSSM with CP-violation, Phys. Rev. D 82 (2010) 075007 [arXiv:1006.1458] [INSPIRE].
T. Graf, R. Grober, M. Muhlleitner, H. Rzehak and K. Walz, Higgs Boson Masses in the Complex NMSSM at One-Loop Level, JHEP 10 (2012) 122 [arXiv:1206.6806] [INSPIRE].
CMS collaboration, Search for charged Higgs bosons with the H + → τ + ν τ decay channel in the fully hadronic final state at \( \sqrt{s}=8 \) TeV, CMS-PAS-HIG-14-020.
ATLAS collaboration, Search for charged Higgs bosons decaying via H ± → τ ± ν in fully hadronic final states using pp collision data at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 03 (2015) 088 [arXiv:1412.6663] [INSPIRE].
ATLAS collaboration, Search for an additional, heavy Higgs boson in the H → ZZ decay channel at \( \sqrt{s}=8 \) TeV in pp collision data with the ATLAS detector, Eur. Phys. J. C 76 (2016) 45 [arXiv:1507.05930] [INSPIRE].
CMS collaboration, Search for a Higgs Boson in the Mass Range from 145 to 1000 GeV Decaying to a Pair of W or Z Bosons, JHEP 10 (2015) 144 [arXiv:1504.00936] [INSPIRE].
ATLAS collaboration, Search for a CP-odd Higgs boson decaying to Zh in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Phys. Lett. B 744 (2015) 163 [arXiv:1502.04478] [INSPIRE].
CMS collaboration, Search for a pseudoscalar boson decaying into a Z boson and the 125 GeV Higgs boson in \( {\ell}^{+}{\ell}^{-}b\overline{b} \) final states, Phys. Lett. B 748 (2015) 221 [arXiv:1504.04710] [INSPIRE].
A. Djouadi, J. Kalinowski and M. Spira, HDECAY: A program for Higgs boson decays in the standard model and its supersymmetric extension, Comput. Phys. Commun. 108 (1998) 56 [hep-ph/9704448] [INSPIRE].
D. Das, U. Ellwanger and A.M. Teixeira, NMSDECAY: A Fortran Code for Supersymmetric Particle Decays in the Next-to-Minimal Supersymmetric Standard Model, Comput. Phys. Commun. 183 (2012) 774 [arXiv:1106.5633] [INSPIRE].
R.V. Harlander, S. Liebler and H. Mantler, SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM, Comput. Phys. Commun. 184 (2013) 1605 [arXiv:1212.3249] [INSPIRE].
E. Bagnaschi et al., Benchmark scenarios for low tan β in the MSSM, LHCHXSWG-2015-002 (2015).
M. Guchait and J. Kumar, Light Higgs Bosons in NMSSM at the LHC, Int. J. Mod. Phys. A 31 (2016) 1650069 [arXiv:1509.02452] [INSPIRE].
J. Kumar, Higgs Sector of NMSSM in the Light of Higgs Discovery,” Springer Proc. Phys. 174 (2016) 619.
ATLAS collaboration, Searches for heavy ZZ and ZW resonances in the llqq and vvqq final states in pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-082 (2016).
ATLAS collaboration, Search for a CP-odd Higgs boson decaying to Zh in pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-015 (2016).
ATLAS collaboration, Search for charged Higgs bosons produced in association with a top quark and decaying via H ± → τ ν using pp collision data recorded at \( \sqrt{s}=13 \) TeV by the ATLAS detector, Phys. Lett. B 759 (2016) 555 [arXiv:1603.09203] [INSPIRE].
ATLAS collaboration, Search for charged Higgs bosons in the H ± → tb decay channel in pp collisions at \( \sqrt{s}=13 \) TeV using the ATLAS detector, ATLAS-CONF-2016-089 (2016).
U. Ellwanger and C. Hugonie, The Upper bound on the lightest Higgs mass in the NMSSM revisited, Mod. Phys. Lett. A 22 (2007) 1581 [hep-ph/0612133] [INSPIRE].
D.J. Miller, R. Nevzorov and P.M. Zerwas, The Higgs sector of the next-to-minimal supersymmetric standard model, Nucl. Phys. B 681 (2004) 3 [hep-ph/0304049] [INSPIRE].
R. Barbieri and G.F. Giudice, Upper Bounds on Supersymmetric Particle Masses, Nucl. Phys. B 306 (1988) 63 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1608.08794
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Kumar, J., Paraskevas, M. Distinguishing between MSSM and NMSSM through ∆F = 2 processes. J. High Energ. Phys. 2016, 134 (2016). https://doi.org/10.1007/JHEP10(2016)134
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2016)134