Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder

TL;DR

This paper presents a direct integration method to compute the two-loop seven-point remainder function in planar N=4 super Yang-Mills theory, providing a new approach to regularized amplitude calculations.

Contribution

It introduces a conformally-regulated integration scheme for calculating the two-loop remainder function, enabling direct computation and comparison with other regularization methods.

Findings

Successfully reproduces the two-loop seven-point remainder function.

Provides a comparison of scheme-dependent anomalous dimensions.

Demonstrates the effectiveness of conformal regulation in amplitude calculations.

Abstract

We reproduce the two-loop seven-point remainder function in planar, maximally supersymmetric Yang-Mills theory by direct integration of conformally-regulated chiral integrands. The remainder function is obtained as part of the two-loop logarithm of the MHV amplitude, the regularized form of which we compute directly in this scheme. We compare the scheme-dependent anomalous dimensions and related quantities in the conformal regulator with those found for the Higgs regulator.