Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices

TL;DR

This paper calculates how gluino-squark diagrams in the MSSM affect the CKM matrix, deriving new bounds on squark mass matrices that are stronger than previous FCNC constraints for certain superpartner masses.

Contribution

It provides the first detailed computation of finite CKM renormalisation in the MSSM with non-minimal flavour violation and establishes new, stronger bounds on squark mass matrix elements.

Findings

Stronger bounds on delta^{d LR}_{ij} for superpartners heavier than 500 GeV.

Stronger bounds on |delta^{u LR}_{12}| than D-Dbar mixing constraints for superpartners above 900 GeV.

A new bound on |delta_{13}^{u LR}| where no FCNC constraint exists.

Abstract

We compute the finite renormalisation of the Cabibbo-Kobayashi-Maskawa (CKM) matrix induced by gluino-squark diagrams in the MSSM with non-minimal sources of flavour violation. Subsequently we derive bounds on the flavour-off-diagonal elements of the squark mass matrices by requiring that the radiative corrections to the CKM elements do not exceed the experimental values. Our constraints on the associated dimensionless quantities delta^{d LR}_{ij}, j>i, are stronger than the bounds from flavour-changing neutral current (FCNC) processes if gluino and squarks are heavier than 500 GeV. Our bound on |delta^{u LR}_{12}| is stronger than the FCNC bound from D-D-bar mixing for superpartner masses above 900 GeV. We further find a useful bound on |delta_{13}^{u LR}|, for which no FCNC constraint is known. Our results imply that it is still possible to generate all observed flavour violation from the soft supersymmetry-breaking terms without conflicting with present-day data on FCNC processes. We suggest that a flavour symmetry renders the Yukawa sector flavour-diagonal and the trilinear supersymmetry-breaking terms are the spurion fields breaking this flavour symmetry. We further derive the dominant supersymmetric radiative corrections to the couplings of charged Higgs bosons and charginos to quarks and squarks.