Complete resummation of chirally-enhanced loop-effects in the MSSM with non-minimal sources of flavor-violation

TL;DR

This paper provides a comprehensive resummation of chirally-enhanced loop corrections in the MSSM with non-minimal flavor violation, enabling more accurate perturbative calculations of related processes.

Contribution

It introduces a complete resummation method for leading chirally-enhanced corrections in the MSSM with complex flavor-violation sources, including analytic effective vertices.

Findings

Analytic results for effective vertices in the decoupling limit

Finite renormalization of fermion masses and CKM matrix

Generalized parametrization of the bare CKM matrix

Abstract

In this article we present the complete resummation of the leading chirally-enhanced corrections stemming from gluino-squark, chargino-sfermion and neutralino-sfermion loops in the MSSM with non-minimal sources of flavor-violation. We compute the finite renormalization of fermion masses and the CKM matrix induced by chirality-flipping self-energies. In the decoupling limit Msusy>>v, which is an excellent approximation to the full theory, we give analytic results for the effective gaugino(higgsino)-fermion-sfermion and the Higgs-fermion-fermion vertices. Using these vertices as effective Feynman rules, all leading chirally-enhanced corrections can consistently be included into perturbative calculations of Feynman amplitudes. We also give a generalized parametrization for the bare CKM matrix which extends the classic Wolfenstein parametrization to the case of complex parameters lambda and A.