Abstract

The discovery of the Higgs boson with a mass of around 125 GeV gives a strong motivation for further study of a high-scale supersymmetry (SUSY) breaking model. In this framework, the minimal SUSY SU(5) grand unification model may be viable since heavy sfermions suppress the proton decay via color-triplet Higgs exchanges. At the same time, sizable flavor violation in sfermion masses is still allowed by low-energy precision experiments when the mass scale is as high as O(100) TeV, which naturally explains the 125 GeV Higgs mass. In the presence of the sfermon flavor violation, however, the rates and branching fractions of proton decay can be drastically changed. In this paper, we study the effects of sfermion flavor structure on proton decay and discuss the experimental constraints on sfermion flavor violation. We find that proton-decay experiments may give us a valuable knowledge on sfermon flavor violation, and by combining it with the results from other low-energy precision experiments, we can extract insights to the structure of sfermion sector as well as the underlying grand unification model.

Highlights

  • A high-scale supersymmetry (SUSY) breaking model [1,2,3,4,5], in which the sfermion mass scale is much higher than the weak scale, has many attractive features from various points of view, such as the SUSY flavor/CP problems and the cosmological problems

  • The minimal SUSY SU(5) grand unification model may be viable since heavy sfermions suppress the proton decay via color-triplet Higgs exchanges

  • We study the effects of sfermion flavor structure on proton decay and discuss the experimental constraints on sfermion flavor violation

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Summary

Introduction

A high-scale supersymmetry (SUSY) breaking model [1,2,3,4,5], in which the sfermion mass scale is much higher than the weak scale, has many attractive features from various points of view, such as the SUSY flavor/CP problems and the cosmological problems. It was pointed out that Planck-suppressed operators QQQL/MP and ueud/MP with O(1) coefficients result in too rapid proton decay even in the high-scale SUSY model [23]. This discrepancy clearly comes from the underlying assumptions of a flavor symmetry. We study the impact of the sfermion flavor structure on the proton decay in the minimal SU(5) GUT model with high-scale SUSY. This paper is organized as follows: we introduce a high-scale SUSY model which we deal with in the following discussion, and give a brief review of the current experimental constraints on flavor violation in the sfermion sector.

Mass spectrum
Flavor constraints
Meson mixing
Proton decay with sfermion flavor violation
Dimension-five proton decay
Results
Flavor constraints from proton decay
Uncertainty of decay rate
Threshold correction to Yukawa couplings
Contribution from soft baryon-number violating operator
X-boson contribution
Summary and discussion
A Input parameters
B RGEs of the Wilson coefficients
At SUSY breaking scale
At electroweak scale
Kaon and charged lepton
Pion and anti-neutrino
Full Text
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