Mass Corrections to Flavor-Changing Fermion-Graviton Vertices in the Standard Model

TL;DR

This paper extends previous analyses of flavor-changing fermion-graviton interactions in the Standard Model by including exact fermion mass dependence, providing comprehensive analytical results for all relevant form factors.

Contribution

It offers the first complete analytical calculation of mass corrections to flavor-changing fermion-graviton vertices in the Standard Model.

Findings

Form factors are finite and gauge invariant on-shell.

Exact dependence on external fermion masses is included.

Complete analytical expressions for all form factors are provided.

Abstract

In a previous study, the flavor-changing fermion-graviton interactions have been analyzed in the framework of the standard model, where analytical results for the relevant form factors were obtained at the leading order in the external fermion masses. These interactions arise at one-loop level by the charged electroweak corrections to the fermion-graviton vertex, when the off-diagonal flavor transitions in the corresponding charged weak currents are taken into account. Due to the conservation of the energy-momentum tensor, the corresponding form factors turn out to be finite and gauge invariant when external fermions are on-shell. Here we extend this previous analysis by including the exact dependence on the external fermion masses. Complete analytical results are provided for all the relevant form factors to the flavor-changing fermion-graviton transitions.