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Universality in pure gravity mediation

  • Regular Article - Theoretical Physics
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Abstract

If low-energy supersymmetry is realized in nature, the apparent discovery of a Higgs boson with mass around 125 GeV suggests a supersymmetric mass spectrum in the TeV or multi-TeV range. Multi-TeV scalar masses are a necessary component of supersymmetric models with pure gravity mediation or in any model with strong moduli stabilization. Here, we show that full scalar mass universality remains viable as long as the ratio of Higgs vevs, tanβ, is relatively small (≲2.5). We discuss in detail the low-energy (observable) consequences of these models.

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Notes

  1. Some possible exceptions are the NMSSM and models with non-decoupling D-terms.

  2. Scalar masses this large necessitate fine tuning in the electroweak sector.

  3. This sum rule is perturbed by the gluino mass, and so becomes \(m_{2}^{2}+m_{\tilde{Q}_{3}}^{2}+m_{\tilde{t}_{R}}^{2}\approx m_{\tilde{g}}\ll m_{3/2}\).

  4. This is only true for larger values of tanβ. Because I(t SUSY)∼1/3, small changes have a drastic effect on the sign of \(m_{2}^{2}\). In fact, it is regions where I(t SUSY)>1/3 that lead to the breakdown of EWSB.

  5. As is evident from the above derivation, the upper limit can be relaxed by non-universalities of the scalar masses which are induced by a non-universal Kähler potential or some running effects above the GUT scale [60].

  6. This expression is sensitive to the sign conventions of μ.

  7. Information about this code is available from K.A. Olive: it contains important contributions from T. Falk, A. Ferstl, F. Luo, G. Ganis, A. Mustafayev, J. McDonald, K.A. Olive, P. Sandick, Y. Santoso, V. Spanos, and M. Srednicki.

  8. See also Ref. [130] for the constraints on the direct chargino production using a disappearing-track signature at the LHC.

  9. For two-loop analysis on the wino mass splitting, see Ref. [132].

  10. As we have discussed in the previous section, the universal boundary condition leads to the lighter third generation squarks than the other squarks. In this case, the gluino tends to decay into a wino with a pair of top quarks and bottom quarks. Thus, the final state of the gluino production events include many b-quarks which slightly change the sensitivities to multi-jets plus missing transverse energy events. (See also Ref. [32].)

  11. For a wino mass less than 500 GeV, the wino constituent of dark matter is restricted to be a fraction of the total dark matter [141].

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Acknowledgements

We would like to thank A. Mustafayev for helpful conversations. We would also like to thank T. Moroi and M. Nagai for helping us correct our Higgs mass calculation. The work of J.E. and K.A.O. was supported in part by DOE grant DE–FG02–94ER–40823 at the University of Minnesota. This work is also supported by Grant-in-Aid for Scientific research from the Ministry of Education, Science, Sports, and Culture (MEXT), Japan, No. 22244021 (T.T.Y.), No. 24740151 (M.I.), and also by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.

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  1. William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55455, USA

    Jason L. Evans & Keith A. Olive

  2. ICRR, University of Tokyo, Kashiwa, 277-8582, Japan

    Masahiro Ibe

  3. Kavli IPMU, TODIAS, University of Tokyo, Kashiwa, 277-8583, Japan

    Masahiro Ibe & Tsutomu T. Yanagida

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  1. Jason L. Evans
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  2. Masahiro Ibe
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Correspondence to Jason L. Evans.

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Evans, J.L., Ibe, M., Olive, K.A. et al. Universality in pure gravity mediation. Eur. Phys. J. C 73, 2468 (2013). https://doi.org/10.1140/epjc/s10052-013-2468-9

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