Using SCET to calculate electroweak corrections in gauge boson production

TL;DR

This paper extends an effective theory framework to include massive gauge bosons in electroweak correction calculations, enabling summation of Sudakov logarithms in high-energy processes with proper regulation.

Contribution

It introduces the use of the Delta regulator within SCET to handle collinear singularities when including massive gauge bosons in electroweak corrections.

Findings

Successful incorporation of massive gauge bosons in the SCET framework.

Validation of the Delta regulator for soft-collinear factorization.

Enhanced precision in electroweak correction calculations at high energies.

Abstract

We extend an effective theory framework developped in Refs. [1,2] to sum electroweak Sudakov logarithms in high energy processes to also include massive gauge bosons in the final state. The calculations require an additional regulator on top of dimensional regularization to tame the collinear singularities. We propose to use the Delta regulator, which respects soft-collinear factorization.