One-Loop MHV Amplitudes in Supersymmetric Gauge Theories

TL;DR

This paper demonstrates that the MHV-diagram technique is valid for calculating one-loop MHV gluon amplitudes in all massless supersymmetric theories, confirmed by agreement with unitarity-based methods.

Contribution

It applies CSW rules to compute one-loop MHV amplitudes in supersymmetric gauge theories, validating the MHV-diagram approach for these cases.

Findings

The MHV-diagram method agrees with unitarity-based calculations.

The technique is validated for all massless supersymmetric theories.

The paper extends the applicability of MHV diagrams to one-loop amplitudes.

Abstract

Using CSW rules for constructing scalar Feynman diagrams from MHV vertices, we compute the contribution of $\mathcal {N}=1$ chiral multiplet to one-loop MHV gluon amplitude. The result agrees with the one obtained previously using unitarity-based methods, thereby demonstrating the validity of the MHV-diagram technique, in the case of one-loop MHV amplitudes, for all massless supersymmetric theories.