Minimal Flavour Violation with hierarchical squark masses

TL;DR

This paper explores how hierarchical squark masses in supersymmetry can naturally suppress flavor-changing processes, supporting the viability of models with heavy first and second generation squarks.

Contribution

It demonstrates that hierarchical squark masses can realize effective Minimal Flavour Violation, with detailed bounds considering QCD corrections and previously neglected effects.

Findings

Heavy first and second generation squarks suppress FCNCs

Effective MFV achieved with hierarchical squark masses

Bounds on squark masses including QCD effects

Abstract

In a supersymmetric model with hierarchical squark masses we analyze a pattern of flavour symmetry breaking centered on the special role of the top Yukawa coupling and, by extension, of the full Yukawa couplings for the up-type quarks. For sufficiently heavy squarks of the first and second generation this leads to effective Minimal Flavour Violation of the Flavour Changing Neutral Current amplitudes. For this to happen we determine the bounds on the masses of the heavy squarks with QCD corrections taken into account, properly including previously neglected effects. We believe that the view presented in this paper altogether strengthens the case for hierarchical sfermions.