Abstract

We consider an explicit effective field theory example based on the Bousso-Polchinski framework with a large number N of hidden sectors contributing to supersymmetry breaking. Each contribution comes from four form quantized fluxes, multiplied by random couplings. The soft terms in the observable sector in this case become random variables, with mean values and standard deviations which are computable. We show that this setup naturally leads to a solution of the flavor problem in low-energy supersymmetry if N is sufficiently large. We investigate the consequences for flavor violating processes at low-energy and for dark matter.

Highlights

  • AND MOTIVATIONSupersymmetry breaking in MSSM (Minimal Supersymmetric Standard Model) is introduced in terms of explicit soft breaking terms

  • We consider an explicit effective field theory example based on the Bousso-Polchinski framework with a large number N of hidden sectors contributing to supersymmetry breaking

  • If the Higgs boson is of supersymmetric origin, one would expect the mass of the lightest CP even Higgs boson in Minimal Supersymmetric Standard Model (MSSM) to be rather light

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Summary

INTRODUCTION

Supersymmetry breaking in MSSM (Minimal Supersymmetric Standard Model) is introduced in terms of explicit soft breaking terms. These are large in number ∼ 105, most of which violate flavor and CP symmetries. If the Higgs boson is of supersymmetric origin, one would expect the mass of the lightest CP even Higgs boson in Minimal Supersymmetric Standard Model (MSSM) to be rather light This already puts severe constraints on the supersymmetric parameter space, in particular that of the third generation up-type squarks (the stops): they are either required to mix almost maximally or to be heavy, between 3 to 4 TeV (See for example, [9]). We end with a small section of conclusions and outlook

THE BOUSSO-POLCHINSKI SETUP
FOUR-FORMS AND FLUXES
Supersymmetric formulation
Soft terms in supergravity
Scanning soft terms and gravitino mass
N M 2m 2 9
NUMERICAL ANALYSIS
CONCLUSIONS AND OUTLOOK
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