Combining initial-state resummation with fixed-order calculations of electroweak corrections

TL;DR

This paper develops a method to resum large electroweak corrections in proton-proton collisions by solving DGLAP equations within the Standard Model, and matches these with fixed-order calculations, revealing significant effects at high energies.

Contribution

It introduces a combined resummation and fixed-order matching approach for electroweak corrections in pp colliders, accounting for initial-state effects with massive vector bosons.

Findings

Electroweak corrections beyond order alpha can reach ~10% at 100 TeV colliders.

Initial states with massive vector bosons are the main contributors to these corrections.

The method improves accuracy of theoretical predictions for high-energy collider processes.

Abstract

We present a resummation of those double-logarithmically enhanced electroweak correction that arise in pp colliders because protons are not SU(2) singlets, by solving DGLAP equations in the full Standard Model. We then show how to match these results with those of fixed-order electroweak calculations. At a 100 TeV pp collider, contributions beyond order alpha are ~ 10% at partonic center-of-mass energies of a few TeV. These are mainly due to initial states with massive vector bosons.