# The two-loop five-point amplitude in $\mathcal{N} =4$ super-Yang-Mills theory

## TL;DR

This paper calculates the detailed two-loop five-point scattering amplitude in N=4 super-Yang-Mills theory, including nonplanar contributions, by explicitly constructing the symbol of relevant master integrals.

## Contribution

It provides the first explicit construction of the symbol for all two-loop five-point nonplanar master integrals in N=4 super-Yang-Mills theory.

## Key findings

- Explicit symbol expressions for all relevant master integrals.
- Complete color dependence included in the amplitude.
- Advances understanding of multi-loop scattering amplitudes.

## Abstract

We compute the symbol of the two-loop five-point scattering amplitude in $\mathcal{N}$ = 4 super-Yang-Mills theory, including its full color dependence. This requires constructing the symbol of all two-loop five-point nonplanar massless master integrals, for which we give explicit results.