OPE for all Helicity Amplitudes II. Form Factors and Data Analysis

TL;DR

This paper develops a comprehensive flux tube integrand framework for all helicity amplitudes in planar N=4 SYM, deriving form factors and validating the approach with perturbative data.

Contribution

It introduces a unified flux tube integrand for MHV and non-MHV amplitudes, including derived form factors, enabling extensive data analysis and testing of theoretical mappings.

Findings

Perfect agreement with perturbative data

Unified flux tube integrand for all helicity amplitudes

Validation of the charged pentagon transition map

Abstract

We present the general flux tube integrand for MHV and non-MHV amplitudes, in planar N = 4 SYM theory, up to a group theoretical rational factor. We find that the MHV and non-MHV cases only differ by simple form factors which we derive. This information allows us to run the operator product expansion program for all sorts of non-MHV amplitudes and to test the recently proposed map with the so called charged pentagons transitions. Perfect agreement is found, on a large sample of non-MHV amplitudes, with the perturbative data available in the literature.