Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using Soft-Collinear Effective Theory

TL;DR

This paper applies soft-collinear effective theory to calculate electroweak radiative corrections for Higgs production via vector boson fusion, addressing unique theoretical challenges due to the Higgs VEV's role.

Contribution

It introduces a novel SCET framework for Higgs production that accounts for the Higgs VEV and soft-collinear transitions, expanding the applicability of SCET.

Findings

Derived a scalar soft-collinear transition operator in SCET.

Calculated electroweak corrections for Higgs production via vector boson fusion.

Addressed non-gauge-singlet amplitude in SCET framework.

Abstract

Soft-collinear effective theory (SCET) is applied to compute electroweak radiative corrections to Higgs production via gauge boson fusion, q q -> q q H. There are several novel features which make this process an interesting application of SCET. The amplitude is proportional to the Higgs vacuum expectation value (VEV), and so is not a gauge singlet amplitude. Standard resummation methods require a gauge singlet operator and do not apply here. The SCET analysis requires operators with both collinear and soft external fields, with the Higgs VEV being described by an external soft \phi\ field. There is a scalar soft-collinear transition operator in the SCET Lagrangian which contributes to the scattering amplitude, and is derived here.