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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W. Buchmüller, S.T. Love, R.D. Peccei and T. Yanagida, Quasi Goldstone Fermions, Phys. Lett. B 115 (1982) 233 [INSPIRE].
W. Buchmüller, R.D. Peccei and T. Yanagida, Quarks and Leptons as Quasi Nambu-Goldstone Fermions, Phys. Lett. B 124 (1983) 67 [INSPIRE].
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].
T. Yanagida and Y. Yasui, Supersymmetric nonlinear σ-models based on exceptional groups, Nucl. Phys. B 269 (1986) 575 [INSPIRE].
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].
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].
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].
N. Arkani-Hamed, A. Gupta, D.E. Kaplan, N. Weiner and T. Zorawski, Simply Unnatural Supersymmetry, arXiv:1212.6971 [INSPIRE].
G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets, JHEP 12 (1998) 027 [hep-ph/9810442] [INSPIRE].
L. Randall and R. Sundrum, Out of this world supersymmetry breaking, Nucl. Phys. B 557 (1999) 79 [hep-th/9810155] [INSPIRE].
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].
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].
W. Yin and N. Yokozaki, Splitting Mass Spectra and Muon g-2 in Higgs-Anomaly Mediation, arXiv:1607.05705 [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
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].
S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept. 466 (2008) 105 [arXiv:0802.2962] [INSPIRE].
Z. Komargodski and N. Seiberg, Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity, JHEP 07 (2010) 017 [arXiv:1002.2228] [INSPIRE].
T. Kugo and T.T. Yanagida, Coupling Supersymmetric Nonlinear σ-models to Supergravity, Prog. Theor. Phys. 124 (2010) 555 [arXiv:1003.5985] [INSPIRE].
T. Goto and T. Yanagida, Nonlinear σ-model coupled to a broken supergravity, Prog. Theor. Phys. 83 (1990) 1076 [INSPIRE].
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].
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].
J.R. Ellis, G. Ridolfi and F. Zwirner, Radiative corrections to the masses of supersymmetric Higgs bosons, Phys. Lett. B 257 (1991) 83 [INSPIRE].
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].
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].
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].
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].
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].
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].
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].
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].
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).
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].
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].
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].
J. Pardo Vega and G. Villadoro, SusyHD: Higgs mass Determination in Supersymmetry, JHEP 07 (2015) 159 [arXiv:1504.05200] [INSPIRE].
ATLAS collaboration, Search for Supersymmetry at the high luminosity LHC with the ATLAS experiment, ATL-PHYS-PUB-2014-010 (2014).
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].
W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys. 315 (2005) 305 [hep-ph/0401240] [INSPIRE].
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].
B.L. Roberts, Status of the Fermilab Muon (g − 2) Experiment, Chin. Phys. C 34 (2010) 741 [arXiv:1001.2898] [INSPIRE].
K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g − 2) μ and α(M 2 Z ) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
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].
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].
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].
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].
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].
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].
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].
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].
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].
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].
K. Nakayama and N. Yokozaki, Peccei-Quinn extended gauge-mediation model with vector-like matter, JHEP 11 (2012) 158 [arXiv:1204.5420] [INSPIRE].
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].
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].
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].
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].
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].
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].
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. Endo, K. Hamaguchi, T. Kitahara and T. Yoshinaga, Probing Bino contribution to muon g − 2, JHEP 11 (2013) 013 [arXiv:1309.3065] [INSPIRE].
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].
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: 1608.06618
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
Yanagida, T.T., Yin, W. & Yokozaki, N. Nambu-Goldstone boson hypothesis for squarks and sleptons in pure gravity mediation. J. High Energ. Phys. 2016, 86 (2016). https://doi.org/10.1007/JHEP09(2016)086
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2016)086