Journal of High Energy Physics

, 2016:134 | Cite as

Distinguishing between MSSM and NMSSM through ∆F = 2 processes

Open Access
Regular Article - Theoretical Physics

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 HZ Z, Ah 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.

Keywords

Supersymmetry Phenomenology 

Notes

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.

References

  1. [1]
    S. Dimopoulos and H. Georgi, Softly Broken Supersymmetry and SU(5), Nucl. Phys. B 193 (1981) 150 [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    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].ADSCrossRefGoogle Scholar
  3. [3]
    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].ADSGoogle Scholar
  4. [4]
    C. Panagiotakopoulos and K. Tamvakis, New minimal extension of MSSM, Phys. Lett. B 469 (1999) 145 [hep-ph/9908351] [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    V. Barger, P. Langacker and G. Shaughnessy, Singlet extensions of the MSSM, AIP Conf. Proc. 903 (2007) 32 [hep-ph/0611112] [INSPIRE].ADSCrossRefGoogle Scholar
  6. [6]
    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].
  7. [7]
    U. Ellwanger, C. Hugonie and A.M. Teixeira, The Next-to-Minimal Supersymmetric Standard Model, Phys. Rept. 496 (2010) 1 [arXiv:0910.1785] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  8. [8]
    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].
  9. [9]
    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].
  10. [10]
    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].ADSCrossRefGoogle Scholar
  11. [11]
    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].ADSCrossRefGoogle Scholar
  12. [12]
    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].ADSCrossRefGoogle Scholar
  13. [13]
    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].ADSCrossRefGoogle Scholar
  14. [14]
    K.S. Jeong, Y. Shoji and M. Yamaguchi, Higgs Mixing in the NMSSM and Light Higgsinos, JHEP 11 (2014) 148 [arXiv:1407.0955] [INSPIRE].ADSCrossRefGoogle Scholar
  15. [15]
    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].ADSGoogle Scholar
  16. [16]
    L.J. Hall, D. Pinner and J.T. Ruderman, A Natural SUSY Higgs Near 126 GeV, JHEP 04 (2012) 131 [arXiv:1112.2703] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    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].ADSCrossRefGoogle Scholar
  18. [18]
    A.J. Buras, Weak Hamiltonian, CP-violation and rare decays, hep-ph/9806471 [INSPIRE].
  19. [19]
    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].ADSCrossRefGoogle Scholar
  20. [20]
    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].ADSCrossRefGoogle Scholar
  21. [21]
    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].ADSCrossRefGoogle Scholar
  22. [22]
    A.J. Buras, P.H. Chankowski, J. Rosiek and L. Slawianowska, Correlation between ΔM s and B s,d0 → μ + μ in supersymmetry at large tan β, Phys. Lett. B 546 (2002) 96 [hep-ph/0207241] [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    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].ADSCrossRefGoogle Scholar
  24. [24]
    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].ADSCrossRefGoogle Scholar
  25. [25]
    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].ADSCrossRefMATHGoogle Scholar
  26. [26]
    J. Virto, Exact NLO strong interaction corrections to the ΔF = 2 effective Hamiltonian in the MSSM, JHEP 11 (2009) 055 [arXiv:0907.5376] [INSPIRE].ADSCrossRefGoogle Scholar
  27. [27]
    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].
  28. [28]
    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].ADSCrossRefGoogle Scholar
  29. [29]
    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].ADSCrossRefGoogle Scholar
  30. [30]
    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].ADSCrossRefGoogle Scholar
  31. [31]
    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].ADSCrossRefGoogle Scholar
  32. [32]
    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].ADSMathSciNetCrossRefGoogle Scholar
  33. [33]
    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].ADSCrossRefMATHGoogle Scholar
  34. [34]
    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].ADSCrossRefMATHGoogle Scholar
  35. [35]
    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].ADSCrossRefMATHGoogle Scholar
  36. [36]
    Fermilab Lattice, MILC collaborations, A. Bazavov et al., B (s)0 -mixing matrix elements from lattice QCD for the Standard Model and beyond, Phys. Rev. D 93 (2016) 113016 [arXiv:1602.03560] [INSPIRE].
  37. [37]
    J. Rosiek, Complete Set of Feynman Rules for the Minimal Supersymmetric Extension of the Standard Model, Phys. Rev. D 41 (1990) 3464 [INSPIRE].ADSGoogle Scholar
  38. [38]
    J. Rosiek, Complete set of Feynman rules for the MSSM: Erratum, hep-ph/9511250 [INSPIRE].
  39. [39]
    M. Paraskevas, Aspects of the Flavour Expansion Theorem, PoS(PLANCK 2015)098 [arXiv:1511.00015] [INSPIRE].
  40. [40]
    J. Rosiek, MassToMI — A Mathematica package for an automatic Mass Insertion expansion, Comput. Phys. Commun. 201 (2016) 144 [arXiv:1509.05030] [INSPIRE].ADSCrossRefGoogle Scholar
  41. [41]
    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].ADSCrossRefGoogle Scholar
  42. [42]
    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].ADSGoogle Scholar
  43. [43]
    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].ADSCrossRefGoogle Scholar
  44. [44]
    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].ADSCrossRefGoogle Scholar
  45. [45]
    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].ADSGoogle Scholar
  46. [46]
    A. Dedes, The Higgs penguin and its applications: An overview, Mod. Phys. Lett. A 18 (2003) 2627 [hep-ph/0309233] [INSPIRE].ADSCrossRefGoogle Scholar
  47. [47]
    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].ADSGoogle Scholar
  48. [48]
    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].CrossRefGoogle Scholar
  49. [49]
    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].ADSMathSciNetGoogle Scholar
  50. [50]
    F. Domingo and U. Ellwanger, Updated Constraints from B Physics on the MSSM and the NMSSM, JHEP 12 (2007) 090 [arXiv:0710.3714] [INSPIRE].ADSCrossRefGoogle Scholar
  51. [51]
    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].ADSCrossRefMATHGoogle Scholar
  52. [52]
    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].ADSGoogle Scholar
  53. [53]
    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].ADSCrossRefGoogle Scholar
  54. [54]
    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.
  55. [55]
    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].
  56. [56]
    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].
  57. [57]
    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].
  58. [58]
    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].
  59. [59]
    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].
  60. [60]
    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].ADSCrossRefMATHGoogle Scholar
  61. [61]
    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].ADSCrossRefGoogle Scholar
  62. [62]
    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].ADSCrossRefMATHGoogle Scholar
  63. [63]
    E. Bagnaschi et al., Benchmark scenarios for low tan β in the MSSM, LHCHXSWG-2015-002 (2015).
  64. [64]
    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].ADSCrossRefGoogle Scholar
  65. [65]
    J. Kumar, Higgs Sector of NMSSM in the Light of Higgs Discovery,” Springer Proc. Phys. 174 (2016) 619.Google Scholar
  66. [66]
    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).
  67. [67]
    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).
  68. [68]
    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].
  69. [69]
    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).
  70. [70]
    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].ADSCrossRefGoogle Scholar
  71. [71]
    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].ADSCrossRefGoogle Scholar
  72. [72]
    R. Barbieri and G.F. Giudice, Upper Bounds on Supersymmetric Particle Masses, Nucl. Phys. B 306 (1988) 63 [INSPIRE].ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Department of High Energy PhysicsTata Institute of Fundamental ResearchMumbaiIndia
  2. 2.Department of Physics, Division of Theoretical PhysicsUniversity of IoanninaIoanninaGreece

Personalised recommendations