Soft-Gluon Cancellation, Phases and Factorization with Initial-State Partons

TL;DR

This paper discusses the theoretical cancellation of soft gluon singularities in high-energy particle interactions, emphasizing the role of initial-state partons, Wilson lines, and the implications for factorization in quantum chromodynamics.

Contribution

It provides a detailed argument for the cancellation of soft singularities and Glauber gluons, clarifying their impact on factorization and observable cross sections in QCD processes.

Findings

Soft singularities cancel in transition probabilities and parton distributions.

Glauber gluons and divergent phases are shown to cancel under certain conditions.

Finite remainders relate to restrictions on final states in factorized cross sections.

Abstract

We outline arguments for the cancellation of soft singularities in transition probabilities and parton distributions with incoming partons and Wilson lines, and with observed jets or heavy colored particles in the final states. We show the cancellation of Glauber gluons and divergent phases, relating finite remainders to corrections that arise from restrictions on final states in factorized cross sections.