One-Loop Amplitudes in Supersymmetric QCD from MHV Vertices

TL;DR

This paper extends the CSW rule to N=1 supersymmetric QCD with massless quarks, providing compact one-loop MHV amplitude expressions and analyzing collinear singularities to ensure consistency.

Contribution

It introduces a supersymmetry-preserving extension of the CSW rule to SQCD with quarks, enabling efficient calculation of one-loop MHV amplitudes.

Findings

Derived compact one-loop MHV amplitudes in SQCD with quarks.

Confirmed the consistency of amplitudes through collinear singularity analysis.

Extended the applicability of the CSW rule to supersymmetric QCD.

Abstract

The Cachazo-Svrcek-Witten (CSW) rule for efficiently calculating gauge theory amplitudes is extended to N=1 supersymmetric QCD (SQCD), incorporating massless quarks, in a way preserving the manifest supersymmetry. Using this extended CSW rule, we obtain compact expressions of all the one-loop MHV amplitudes in SQCD including one or two external quark-antiquark (chiral-antichiral multiplets) pairs. The collinear sigularities of the five point amplitudes are investigated to confirm the consistency of the results.