Electroweak Form Factor in Sudakov and Threshold Regimes with Effective Field Theories

TL;DR

This paper calculates two-loop corrections to gauge and scalar form factors in the electroweak sector using effective field theories, covering both Sudakov and threshold regimes, and extends previous methods to include scalar contributions.

Contribution

It introduces a comprehensive effective field theory approach to compute electroweak form factors with scalar contributions in both regimes, surpassing prior methods limited to Sudakov or neglecting scalars.

Findings

Two-loop corrections computed for gauge and scalar form factors.

Results applicable to Standard Model and beyond.

Extension of effective theory methods to include scalar effects.

Abstract

We compute the massive gauge and scalar corrections to form factors in both the Sudakov and threshold regimes up to and including two-loop orders. The corrections are calculated for processes involving two external fermions and scalars in the spontaneously broken SU(N)-Higgs model, examining a range of composite operators. Our results are general, so we discuss how our form factors are mappable from our model to the Standard Model and beyond. The effective theory formalism deployed in our work extends previous studies based on infrared evolution equations, which either neglect scalar contributions or are restricted to the Sudakov regime.