Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly

TL;DR

This paper reveals that accounting for a holomorphic anomaly in differential equations clarifies the twistor-space structure of one-loop gauge theory amplitudes, aligning theoretical predictions with geometric intuition.

Contribution

It introduces the necessity of considering a holomorphic anomaly in the analysis of one-loop gauge theory amplitudes within twistor space.

Findings

Holomorphic anomaly affects differential equations of amplitudes

Results align with twistor-space geometric picture

Provides a consistent framework for one-loop amplitudes

Abstract

We show that, in analyzing differential equations obeyed by one-loop gauge theory amplitudes, one must take into account a certain holomorphic anomaly. When this is done, the results are consistent with the simplest twistor-space picture of the available one-loop amplitudes.