Amplitudes from superconformal Ward identities

TL;DR

This paper uses superconformal Ward identities to derive differential equations for finite N=1 superamplitudes, revealing their structure and solving for specific cases, including a non-planar two-loop five-particle integral.

Contribution

It introduces a novel approach using superconformal symmetry to analyze superamplitudes and solves for five-particle cases with anomaly considerations.

Findings

Differential equations uniquely determine five-particle superamplitudes.

Anomalies from collinear singularities are explicitly characterized.

Application to a non-planar two-loop integral demonstrates method's effectiveness.

Abstract

We consider finite superamplitudes of N=1 matter, and use superconformal symmetry to derive powerful first-order differential equations for them. Due to on-shell collinear singularities, the Ward identities have an anomaly, which is obtained from lower-loop information. We show that in the five-particle case, the solution to the equations is uniquely fixed by the expected analytic behavior. We apply the method to a non-planar two-loop five-particle integral.