Journal of High Energy Physics

, 2016:86 | Cite as

Nambu-Goldstone boson hypothesis for squarks and sleptons in pure gravity mediation

Open Access
Regular Article - Theoretical Physics

Abstract

We point out that a hypothesis of squarks and sleptons being Nambu-Goldstone (NG) bosons is consistent with pure gravity mediation or minimal split supersymmetry (SUSY). As a concrete example, we consider a SUSY E 7 /SU(5) × U(1)3 non-linear sigma model in the framework of pure gravity mediation. The model accommodates three families of the quark and lepton chiral multiplets as (pseudo) NG multiplets of the Kähler manifold, which may enable us to understand the origin and number of the families. We point out that squarks in the first and second generations are likely to be as light as a few TeV if the observed baryon asymmetry is explained by the thermal leptogenesis; therefore, these colored particles can be discovered at the LHC Run-2 or at the high luminosity LHC.

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]
    W. Buchmüller, S.T. Love, R.D. Peccei and T. Yanagida, Quasi Goldstone Fermions, Phys. Lett. B 115 (1982) 233 [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    W. Buchmüller, R.D. Peccei and T. Yanagida, Quarks and Leptons as Quasi Nambu-Goldstone Fermions, Phys. Lett. B 124 (1983) 67 [INSPIRE].ADSCrossRefGoogle Scholar
  3. [3]
    T. Kugo and T. Yanagida, Unification of Families Based on a Coset Space E7/SU(5) × SU(3) × U(1), Phys. Lett. B 134 (1984) 313 [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  4. [4]
    T. Yanagida and Y. Yasui, Supersymmetric nonlinear σ-models based on exceptional groups, Nucl. Phys. B 269 (1986) 575 [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  5. [5]
    S. Irie and Y. Yasui, Supersymmetric nonlinear σ-model ON E 8 /SO(10) × SU(3) × U(1), Z. Phys. C 29 (1985) 123 [INSPIRE].ADSMathSciNetGoogle Scholar
  6. [6]
    M. Ibe, T. Moroi and T.T. Yanagida, Possible Signals of Wino LSP at the Large Hadron Collider, Phys. Lett. B 644 (2007) 355 [hep-ph/0610277] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    M. Ibe and T.T. Yanagida, The Lightest Higgs Boson Mass in Pure Gravity Mediation Model, Phys. Lett. B 709 (2012) 374 [arXiv:1112.2462] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    N. Arkani-Hamed, A. Gupta, D.E. Kaplan, N. Weiner and T. Zorawski, Simply Unnatural Supersymmetry, arXiv:1212.6971 [INSPIRE].
  9. [9]
    G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets, JHEP 12 (1998) 027 [hep-ph/9810442] [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    L. Randall and R. Sundrum, Out of this world supersymmetry breaking, Nucl. Phys. B 557 (1999) 79 [hep-th/9810155] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  11. [11]
    K. Inoue, M. Kawasaki, M. Yamaguchi and T. Yanagida, Vanishing squark and slepton masses in a class of supergravity models, Phys. Rev. D 45 (1992) 328 [INSPIRE].ADSGoogle Scholar
  12. [12]
    K. Harigaya, T.T. Yanagida and N. Yokozaki, Seminatural SUSY from the E 7 nonlinear σ-model, PTEP 2015 (2015) 083B03 [arXiv:1504.02266] [INSPIRE].
  13. [13]
    W. Yin and N. Yokozaki, Splitting Mass Spectra and Muon g-2 in Higgs-Anomaly Mediation, arXiv:1607.05705 [INSPIRE].
  14. [14]
    M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].ADSCrossRefGoogle Scholar
  15. [15]
    W. Buchmüller, R.D. Peccei and T. Yanagida, Leptogenesis as the origin of matter, Ann. Rev. Nucl. Part. Sci. 55 (2005) 311 [hep-ph/0502169] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept. 466 (2008) 105 [arXiv:0802.2962] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    Z. Komargodski and N. Seiberg, Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity, JHEP 07 (2010) 017 [arXiv:1002.2228] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  18. [18]
    T. Kugo and T.T. Yanagida, Coupling Supersymmetric Nonlinear σ-models to Supergravity, Prog. Theor. Phys. 124 (2010) 555 [arXiv:1003.5985] [INSPIRE].ADSCrossRefMATHGoogle Scholar
  19. [19]
    T. Goto and T. Yanagida, Nonlinear σ-model coupled to a broken supergravity, Prog. Theor. Phys. 83 (1990) 1076 [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    M. Yamaguchi and W. Yin, A Novel Approach to Fine-Tuned Supersymmetric Standard Models — Case of Non-Universal Higgs Masses model, arXiv:1606.04953 [INSPIRE].
  21. [21]
    Y. Okada, M. Yamaguchi and T. Yanagida, Upper bound of the lightest Higgs boson mass in the minimal supersymmetric standard model, Prog. Theor. Phys. 85 (1991) 1 [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    J.R. Ellis, G. Ridolfi and F. Zwirner, Radiative corrections to the masses of supersymmetric Higgs bosons, Phys. Lett. B 257 (1991) 83 [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    H.E. Haber and R. Hempfling, Can the mass of the lightest Higgs boson of the minimal supersymmetric model be larger than m(Z)?, Phys. Rev. Lett. 66 (1991) 1815 [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    Y. Okada, M. Yamaguchi and T. Yanagida, Renormalization group analysis on the Higgs mass in the softly broken supersymmetric standard model, Phys. Lett. B 262 (1991) 54 [INSPIRE].ADSCrossRefGoogle Scholar
  25. [25]
    J.R. Ellis, G. Ridolfi and F. Zwirner, On radiative corrections to supersymmetric Higgs boson masses and their implications for LEP searches, Phys. Lett. B 262 (1991) 477 [INSPIRE].ADSCrossRefGoogle Scholar
  26. [26]
    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].
  27. [27]
    K. Harigaya, T.T. Yanagida and N. Yokozaki, Higgs boson mass of 125 GeV and g − 2 of the muon in a gaugino mediation model, Phys. Rev. D 91 (2015) 075010 [arXiv:1501.07447] [INSPIRE].ADSGoogle Scholar
  28. [28]
    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].ADSGoogle Scholar
  29. [29]
    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].ADSCrossRefGoogle Scholar
  30. [30]
    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].ADSCrossRefMATHGoogle Scholar
  31. [31]
    CMS collaboration, Searches for long-lived charged particles in pp collisions at \( \sqrt{s}=7 \) and 8 TeV, JHEP 07 (2013) 122 [arXiv:1305.0491] [INSPIRE].
  32. [32]
    ATLAS collaboration, Further searches for squarks and gluinos in final states with jets and missing transverse momentum at \( \sqrt{s}=13 \) TeV with the ATLAS detector, ATLAS-CONF-2016-078 (2016).
  33. [33]
    ATLAS collaboration, Search for charginos nearly mass degenerate with the lightest neutralino based on a disappearing-track signature in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, Phys. Rev. D 88 (2013) 112006 [arXiv:1310.3675] [INSPIRE].
  34. [34]
    B. Bhattacherjee, M. Ibe, K. Ichikawa, S. Matsumoto and K. Nishiyama, Wino Dark Matter and Future dSph Observations, JHEP 07 (2014) 080 [arXiv:1405.4914] [INSPIRE].ADSCrossRefGoogle Scholar
  35. [35]
    A.D. Box and X. Tata, Threshold and Flavour Effects in the Renormalization Group Equations of the MSSM II: Dimensionful couplings, Phys. Rev. D 79 (2009) 035004 [Erratum ibid. D 82 (2010) 119905] [arXiv:0810.5765] [INSPIRE].
  36. [36]
    J. Pardo Vega and G. Villadoro, SusyHD: Higgs mass Determination in Supersymmetry, JHEP 07 (2015) 159 [arXiv:1504.05200] [INSPIRE].ADSCrossRefGoogle Scholar
  37. [37]
    ATLAS collaboration, Search for Supersymmetry at the high luminosity LHC with the ATLAS experiment, ATL-PHYS-PUB-2014-010 (2014).
  38. [38]
    G.F. Giudice, A. Notari, M. Raidal, A. Riotto and A. Strumia, Towards a complete theory of thermal leptogenesis in the SM and MSSM, Nucl. Phys. B 685 (2004) 89 [hep-ph/0310123] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys. 315 (2005) 305 [hep-ph/0401240] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    Muon g-2 collaboration, G.W. Bennett et al., Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
  41. [41]
    B.L. Roberts, Status of the Fermilab Muon (g − 2) Experiment, Chin. Phys. C 34 (2010) 741 [arXiv:1001.2898] [INSPIRE].ADSCrossRefGoogle Scholar
  42. [42]
    K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g − 2)μ and α(M Z2) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].ADSCrossRefGoogle Scholar
  43. [43]
    M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ), Eur. Phys. J. C 71 (2011) 1515 [Erratum ibid. C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
  44. [44]
    J.L. Lopez, D.V. Nanopoulos and X. Wang, Large (g − 2)μ in SU(5) × U(1) supergravity models, Phys. Rev. D 49 (1994) 366 [hep-ph/9308336] [INSPIRE].ADSGoogle Scholar
  45. [45]
    U. Chattopadhyay and P. Nath, Probing supergravity grand unification in the Brookhaven g-2 experiment, Phys. Rev. D 53 (1996) 1648 [hep-ph/9507386] [INSPIRE].ADSGoogle Scholar
  46. [46]
    T. Moroi, The Muon anomalous magnetic dipole moment in the minimal supersymmetric standard model, Phys. Rev. D 53 (1996) 6565 [Erratum ibid. D 56 (1997) 4424] [hep-ph/9512396] [INSPIRE].
  47. [47]
    S. Marchetti, S. Mertens, U. Nierste and D. Stöckinger, tan β-enhanced supersymmetric corrections to the anomalous magnetic moment of the muon, Phys. Rev. D 79 (2009) 013010 [arXiv:0808.1530] [INSPIRE].ADSGoogle Scholar
  48. [48]
    G. Degrassi and G.F. Giudice, QED logarithms in the electroweak corrections to the muon anomalous magnetic moment, Phys. Rev. D 58 (1998) 053007 [hep-ph/9803384] [INSPIRE].ADSGoogle Scholar
  49. [49]
    M. Endo, K. Hamaguchi, S. Iwamoto and N. Yokozaki, Higgs Mass and Muon Anomalous Magnetic Moment in Supersymmetric Models with Vector-Like Matters, Phys. Rev. D 84 (2011) 075017 [arXiv:1108.3071] [INSPIRE].ADSGoogle Scholar
  50. [50]
    T. Moroi, R. Sato and T.T. Yanagida, Extra Matters Decree the Relatively Heavy Higgs of Mass about 125 GeV in the Supersymmetric Model, Phys. Lett. B 709 (2012) 218 [arXiv:1112.3142] [INSPIRE].ADSCrossRefGoogle Scholar
  51. [51]
    M. Endo, K. Hamaguchi, S. Iwamoto and N. Yokozaki, Higgs mass, muon g-2 and LHC prospects in gauge mediation models with vector-like matters, Phys. Rev. D 85 (2012) 095012 [arXiv:1112.5653] [INSPIRE].ADSGoogle Scholar
  52. [52]
    M. Endo, K. Hamaguchi, S. Iwamoto, K. Nakayama and N. Yokozaki, Higgs mass and muon anomalous magnetic moment in the U(1) extended MSSM, Phys. Rev. D 85 (2012) 095006 [arXiv:1112.6412] [INSPIRE].ADSGoogle Scholar
  53. [53]
    K. Nakayama and N. Yokozaki, Peccei-Quinn extended gauge-mediation model with vector-like matter, JHEP 11 (2012) 158 [arXiv:1204.5420] [INSPIRE].ADSCrossRefGoogle Scholar
  54. [54]
    R. Sato, K. Tobioka and N. Yokozaki, Enhanced Diphoton Signal of the Higgs Boson and the Muon g-2 in Gauge Mediation Models, Phys. Lett. B 716 (2012) 441 [arXiv:1208.2630] [INSPIRE].ADSCrossRefGoogle Scholar
  55. [55]
    Y. Shimizu and W. Yin, Natural split mechanism for sfermions: N = 2 supersymmetry in phenomenology, Phys. Lett. B 754 (2016) 118 [arXiv:1509.04933] [INSPIRE].ADSCrossRefGoogle Scholar
  56. [56]
    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].ADSCrossRefMATHGoogle Scholar
  57. [57]
    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].ADSMATHGoogle Scholar
  58. [58]
    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].ADSCrossRefGoogle Scholar
  59. [59]
    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].ADSCrossRefGoogle Scholar
  60. [60]
    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].ADSCrossRefGoogle Scholar
  61. [61]
    M. Endo, K. Hamaguchi, T. Kitahara and T. Yoshinaga, Probing Bino contribution to muon g − 2, JHEP 11 (2013) 013 [arXiv:1309.3065] [INSPIRE].ADSCrossRefGoogle Scholar
  62. [62]
    ACME collaboration, J. Baron et al., Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron, Science 343 (2014) 269 [arXiv:1310.7534] [INSPIRE].

Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Tsutomu T. Yanagida
    • 1
  • Wen Yin
    • 2
  • Norimi Yokozaki
    • 2
  1. 1.Kavli Institute for the Physics and Mathematics of the Universe (WPI)University of TokyoKashiwaJapan
  2. 2.Department of PhysicsTohoku UniversitySendaiJapan

Personalised recommendations