Employing Helicity Amplitudes for Resummation in SCET

TL;DR

This paper introduces a method to integrate helicity amplitudes with resummation in SCET by constructing a helicity operator basis, simplifying calculations for multi-leg QCD processes.

Contribution

It develops a helicity operator basis in SCET where Wilson coefficients are directly related to color-ordered helicity amplitudes, enhancing computational efficiency.

Findings

Helicity operator basis is crossing symmetric.

Wilson coefficients are directly expressed in terms of helicity amplitudes.

Simplifies resummation in multi-leg QCD processes.

Abstract

Helicity amplitudes are the fundamental ingredients of many QCD calculations for multi-leg processes. We describe how these can seamlessly be combined with resummation in Soft-Collinear Effective Theory (SCET), by constructing a helicity operator basis for which the Wilson coefficients are directly given in terms of color-ordered helicity amplitudes. This basis is crossing symmetric and has simple transformation properties under discrete symmetries.