A Googly Amplitude from the B-model in Twistor Space

TL;DR

This paper computes non-MHV gluon scattering amplitudes using the topological B-model in twistor space, extending previous MHV results and confirming their agreement with Yang-Mills theory.

Contribution

It presents the first direct B-model calculation of non-MHV gluon amplitudes, specifically the (++--- and +-+--) configurations, from the moduli space of degree 2 curves.

Findings

Perfect agreement with Yang-Mills theory for the computed amplitudes.

Extension of B-model calculations beyond MHV amplitudes.

Validation of the twistor string approach for non-MHV amplitudes.

Abstract

Recently it has been proposed that gluon scattering amplitudes in gauge theory can be computed from the D-instanton expansion of the topological B-model on P^{3|4}, although only maximally helicity violating (MHV) amplitudes have so far been obtained from a direct B-model calculation. In this note we compute the simplest non-MHV gluon amplitudes (++--- and +-+--) from the B-model as an integral over the moduli space of degree 2 curves in P^{3|4} and find perfect agreement with Yang-Mills theory.