The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order

TL;DR

This paper derives universal formulas for the infrared behavior of one-loop QCD amplitudes at NNLO, accounting for all orders in dimensional regularization, crucial for precise jet cross-section calculations.

Contribution

It provides all-order in epsilon factorization formulas for one-loop QCD amplitudes in soft and collinear limits, extending previous results to NNLO accuracy.

Findings

Universal factorization formulas valid to all orders in epsilon.

Applicable to infrared divergent phase space integrals at NNLO.

Enhances precision in jet cross-section computations.

Abstract

We present universal factorization formulas describing the behavior of one-loop QCD amplitudes as external momenta become either soft or collinear. Our results are valid to all orders in the dimensional regularization parameter, $\eps$. Terms through $\Ord(\eps^2)$ can contribute in infrared divergent phase space integrals associated with next-to-next-to-leading order jet cross-sections.