Analytical two-loop soft mass terms of sfermions in Extended GMSB models

TL;DR

This paper derives analytical two-loop soft mass terms for sfermions in Extended GMSB models, revealing how their interplay affects sfermion mass patterns across different F/M^2 ratios.

Contribution

It provides the first analytical two-loop calculations of sfermion soft masses in Extended GMSB models with matter-messenger couplings.

Findings

Two-loop contributions are comparable to one-loop when F/M^2 is around 1.

Interplay of one- and two-loop effects leads to novel sfermion mass patterns.

Analytical results enable detailed study of soft mass behavior across parameter space.

Abstract

Analytical two-loop contributions to soft masses of sfermions are derived in the Extended GMSB (EGMSB) model with one superpotential coupling between matter and messenger superfields. Analytical results allows to study in detail the whole range of the ratio $F/M^2$ of the spurion $F$-term, $F$, to the messenger scale $M$. It is shown that if $F/M^2$ is of the order of $1$, then one- and two-loop contributions to soft masses are of the same magnitude and their interplay leads to novel sfermion mass patterns.