Augmented Recursion For One-loop Gravity Amplitudes

TL;DR

This paper introduces a semi-recursive axial gauge method to efficiently compute the rational parts of one-loop gravity amplitudes, demonstrated on specific five- and six-point amplitudes.

Contribution

It presents a novel semi-recursive approach utilizing axial gauge diagrams for calculating non-factorising parts of one-loop gravity amplitudes.

Findings

Successfully computed M(1-,2+,3+,4+,5+) amplitude

Successfully computed M(1-,2+,3+,4+,5+,6+) amplitude

Demonstrated effectiveness of the method on complex amplitudes

Abstract

We present a semi-recursive method for calculating the rational parts of one-loop gravity amplitudes which utilises axial gauge diagrams to determine the non-factorising pieces of the amplitude. This method is used to compute the one-loop amplitudes M(1-,2+,3+,4+,5+) and M(1-,2+,3+,4+,5+,6+).