Heavy gravitino, naturalness, and sizable anomaly mediation

Abstract

We consider the situation in which $m_{3/2}\sim O(100\mathrm{TeV})$ for solving the gravitino problem and the other supersymmetry(SUSY) breaking parameters are $O(1\mathrm{TeV})$ for the naturalness. We point out that the anomaly mediation cancels out the renormalization group contribution to the gaugino masses and the sfermion masses other than the stop masses at a scale which is called the mirage scale. The situation is similar to the mirage mediation, in which special boundary conditions for the SUSY breaking parameters are required, though for the stop masses and the up-type Higgs mass, such cancellation at the mirage scale does not happen. Despite no cancellation for the up-type Higgs mass, we show that the little hierarchy problem becomes less severe in this situation. One advantage of this situation over the mirage mediation is that the stop mixing parameter $A_t$ can be larger and therefore, smaller stop mass is sufficient for 125 GeV Higgs. When the mirage scale is around TeV scale, the SUSY breaking parameters induced by the gravity mediation at the grand unification scale can be observed directly by the TeV scale experiments.

17pages, 5 figures, v2:gluino constraints are added

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• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis and Gravitino
• Implications of Supersymmetry Breaking with a Little Hierarchy between Gauginos and Scalars
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• Nucleon decay via dimension-6 operators in $E_6\times SU(2{)}_F\times U(1{)}_A$ SUSY GUT model

Cited by in corpus (1)

• Sizable D-term contribution as a signature of $E_6\times SU(2{)}_F\times U(1{)}_A$ SUSY GUT model