One-Loop Maximal Helicity Violating Amplitudes in N=4 Super Yang-Mills Theories

TL;DR

This paper verifies the validity of the CSW prescription for calculating one-loop MHV amplitudes in N=4 super Yang-Mills theories, showing it matches traditional field theory results and confirming its accuracy for finite N_c.

Contribution

It demonstrates that the CSW prescription accurately reproduces one-loop MHV amplitudes in N=4 SYM, extending its validity beyond tree level.

Findings

CSW prescription matches conventional calculations at one-loop

Relations between leading and sub-leading amplitudes are consistent

Confirms the validity of CSW for finite N_c in N=4 SYM

Abstract

One-loop maximal helicity violating (MHV) amplitudes in N=4 super Yang-Mills (SYM) theories are analyzed, using the prescription of Cachazo, Svrcek, and Witten (CSW). The relations between leading N_c amplitudes A_{n;1} and sub-leading amplitudes A_{n;c} obtained by the CSW prescription are found to be identical to those obtained from conventional field theory calculations. Combining with existing results, this establishes the validity of the CSW prescription to one-loop in the calculation of MHV amplitudes in N=4 SYM theories of finite N_c.