Resummed corrections to the \rho parameter due to a finite width of the top quark

TL;DR

This paper presents an all-order calculation of the  ho parameter considering the finite width of the top quark, addressing gauge invariance and non-perturbative effects in a simplified model.

Contribution

It provides a novel exact calculation of the  ho parameter with finite top width, emphasizing gauge invariance and non-perturbative effects.

Findings

Exact all-order  ho calculation in a simplified framework

Analysis of gauge invariance in the context of finite top width

Discussion of non-perturbative cut-off effects

Abstract

We perform an all-order calculation of the \rho parameter in a simplified framework, where the top propagator can be calculated exactly. Special emphasis is placed on the question of gauge invariance and the treatment of non-perturbative cut-off effects.