Lepton flavor violation as a probe of squark mixing in supersymmetric SU(5)

TL;DR

This paper investigates how lepton flavor violation processes can serve as sensitive probes of squark mixing patterns in supersymmetric SU(5) models, providing constraints on flavor structures through rare decay observations.

Contribution

It offers a model-independent analysis of flavor violation in SUSY SU(5), highlighting the importance of lepton flavor processes in constraining squark mixing, especially for right-handed down-type squarks.

Findings

Lepton flavor violating decays strongly constrain right-handed down squark mixings.

mu -> e gamma decay is highly sensitive to certain squark mixings.

Projected experimental sensitivities could further tighten these constraints.

Abstract

We study flavor violation in a supersymmetric SU(5) grand unification scenario in a model-independent way employing mass insertions. We examine how the quark and the lepton sector observables restrict sfermion mixings. In many cases, a lepton flavor violating process provides a stringent constraint on the flavor structure of right-handed down-type squarks. In particular, mu -> e gamma turns out to be highly susceptible to the 1-3 and 2-3 mixings thereof, due to the radiative correction from the top Yukawa coupling to the scalar mass terms of 10. We also discuss projected sensitivity of forthcoming experiments, and ways to maintain the power of leptonic restrictions even after incorporating a solution to fix the incorrect quark-lepton mass relations.