Factorization Beyond Coherence

TL;DR

This paper introduces a new factorization theorem for N-jettiness at hadron colliders, accounting for coherence-violating effects from Glauber gluons, which challenges existing factorization formulas for LHC observables.

Contribution

It develops a novel factorization framework that includes coherence-violating effects and provides the anomalous dimensions necessary for resummation, revealing the need to revise current LHC observable models.

Findings

Coherence-violating logarithms start at four- or five-loop order.

Most existing factorization formulas for LHC observables are incomplete.

A systematic framework for coherence violation treatment is established.

Abstract

We derive a novel factorization theorem for $N$-jettiness at hadron colliders, which incorporates coherence-violating effects induced by Glauber gluons and several new momentum modes. Their interplay generates coherence-violating logarithms (CVLs) starting at four-loop ($N\ge1$) or five-loop order ($N=0$). We calculate the anomalous dimensions required for the resummation of CVLs and establish a general framework for the systematic treatment of coherence violation. Our findings imply that most existing factorization formulas for global LHC observables must be revised.