Abstract

We show that in gauge mediation models where heavy messenger masses are provided by the adjoint Higgs field of an underlying SU ( 5 ) theory, a generalized gauge mediation spectrum arises with the characteristic feature of having a neutralino LSP much lighter than in the standard gauge or gravity mediation schemes. This naturally fits in a hybrid scenario where gravity mediation, while subdominant with respect to gauge mediation, provides μ and Bμ parameters of the appropriate size for electroweak symmetry breaking.

Highlights

  • Introduction and motivationsSupersymmetry (SUSY) breaking is the central open question in supersymmetric extensions of the Standard Model

  • - gravity mediation [1] generates all soft terms needed at low energy in the Minimal Supersymmetric Standard Model (MSSM), including the μ and Bμ terms of the Higgs sector [2], all being of the order of the gravitino mass at high energy

  • We have shown that models in which supersymmetry breaking is predominantly transmitted by gauge interactions lead to a light neutralino if the messenger mass matrix is oriented with the hypercharge generator, M ∼ vY

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Summary

Introduction and motivations

Supersymmetry (SUSY) breaking is the central open question in supersymmetric extensions of the Standard Model. An obvious way of combining the advantages and possibly reducing the disadvantages of both mechanisms is to assume m3/2 ∼ (0.01 − 0.1) MGM , MGM ∼ 1 TeV In this case, the FCNC amplitudes induced by the non-universal gravity contributions to soft scalar masses are suppressed by a factor of order m23/2/MG2 M. Since the gaugino masses Ma (where a refers to the SM gauge group factor Ga = SU(3)C, SU(2)L or U(1)Y ) are proportional to Tr (Q2a/M), where the Qa’s stand for the charges of the messenger fields under Ga, it is readily seen that the gauge-mediated contribution to the bino mass vanishes in the limit X0 = 0: M1|GMSB, X0=0 ∝ Tr Y 2M −1 ∝ Tr Y = 0. The appendices contain technical details about the computation of the MSSM soft terms and the quantum corrections to the scalar potential

Gauge mediation with GUT-induced messenger mass splitting
A complete model
The SUSY breaking sector
Coupling the SUSY breaking sector to messengers
Stability of the phenomenologically viable vacuum
Generation of the μ and Bμ terms
Low-energy phenomenology
Conclusions
A Gauge contributions to the MSSM gaugino and scalar masses
General formulae
Tree-level vacuum structure
Lifetime of the metastable vacuum
Quantum corrections to the scalar potential
Full Text
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