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What if supersymmetry breaking unifies beyond the GUT scale?

  • Regular Article - Theoretical Physics
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Abstract

We study models in which soft supersymmetry-breaking parameters of the MSSM become universal at some unification scale, M in, above the GUT scale, M GUT. We assume that the scalar masses and gaugino masses have common values, m 0 and m 1/2 respectively, at M in. We use the renormalisation-group equations of the minimal supersymmetric SU(5) GUT to evaluate their evolutions down to M GUT, studying their dependences on the unknown parameters of the SU(5) superpotential. After displaying some generic examples of the evolutions of the soft supersymmetry-breaking parameters, we discuss the effects on physical sparticle masses in some specific examples. We note, for example, that near-degeneracy between the lightest neutralino and the lighter stau is progressively disfavoured as M in increases. This has the consequence, as we show in (m 1/2,m 0) planes for several different values of tan β, that the stau-coannihilation region shrinks as M in increases, and we delineate the regions of the (M in,tan β) plane where it is absent altogether. Moreover, as M in increases, the focus-point region recedes to larger values of m 0 for any fixed tan β and m 1/2. We conclude that the regions of the (m 1/2,m 0) plane that are commonly favoured in phenomenological analyses tend to disappear at large M in.

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Authors and Affiliations

  1. TH Division, PH Department, CERN, 1211, Geneva 23, Switzerland

    John Ellis

  2. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, MN, 55455, USA

    Azar Mustafayev & Keith A. Olive

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  1. John Ellis
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  2. Azar Mustafayev
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  3. Keith A. Olive
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Correspondence to Azar Mustafayev.

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Ellis, J., Mustafayev, A. & Olive, K.A. What if supersymmetry breaking unifies beyond the GUT scale?. Eur. Phys. J. C 69, 201–217 (2010). https://doi.org/10.1140/epjc/s10052-010-1373-8

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  • DOI: https://doi.org/10.1140/epjc/s10052-010-1373-8

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