Factorization of Standard Model cross sections at ultra high energy

TL;DR

This paper develops a factorization theorem for electroweak boson emissions at ultra-high energies, enabling universal descriptions of leptons and gauge bosons in future collider experiments.

Contribution

It formulates a new factorization approach for electroweak processes at energies far above the electroweak scale, including the treatment of isospin summation and scalar distributions.

Findings

Universal lepton and gauge boson distributions share the same infrared structure.

The factorization applies to both broken and unbroken electroweak symmetry phases.

Electroweak factorization for proton processes is outlined, highlighting scalar distribution subtleties.

Abstract

The factorization theorem for organizing multiple electroweak boson emissions at future colliders with energy far above the electroweak scale is formulated. Taking the inclusive muon-pair production in electron-positron collisions as an example, we argue that the summation over isospins is demanded for constructing the universal distributions of leptons and gauge bosons in an electron. These parton distributions are shown to have the same infrared structure in the phases of broken and unbroken electroweak symmetry, an observation consistent with the Goldstone Equivalence Theorem. The electroweak factorization of processes involving protons is sketched, with an emphasis on the subtlety of the scalar distributions.