The Seven-Point Two-Loop Full-Color All-Plus Helicity Yang-Mills Amplitude

Abstract

The seven-gluon two-loop full-color Yang-Mills amplitude is presented in a compact analytic form where we use the methods of four-dimensional unitarity cuts to obtain the polylogarithmic pieces and augmented recursion to obtain the rational pieces. Furthermore, an $n$-point form for the full-color polylogarithmic piece is presented. We use these results to probe for potential relations amongst the two-loop partial amplitudes.

Comments: two attached Mathematica files. v2 small correction to Table 1 and additional citations added