Infrared Safe Observables in ${\cal N}=4$ Super Yang-Mills Theory

TL;DR

This paper analyzes the infrared behavior of gluon amplitudes in ${ m N}=4$ super Yang-Mills theory, demonstrating divergence cancellations and calculating finite parts of cross-sections at next-to-leading order.

Contribution

It provides explicit calculations of infrared divergence cancellation and finite cross-section parts in ${ m N}=4$ SYM at NLO, enhancing understanding of infrared safety.

Findings

Infrared divergences cancel in properly defined cross-sections.

Finite parts of inclusive differential cross-sections are calculated analytically.

Finite parts do not exhibit simple structure, unlike virtual corrections.

Abstract

The infrared structure of MHV gluon amplitudes in ${\cal N}=4$ super Yang-Mills theory is considered in the next-to-leading order of PT. Explicit cancelation of the infrared divergencies in properly defined cross-sections is demonstrated. The remaining finite parts for some inclusive differential cross-sections are calculated analytically. In general, contrary to the virtual corrections, they do not reveal any simple structure.