A simple collinear limit of scattering amplitudes at strong coupling

TL;DR

This paper explores a specific collinear limit at strong coupling in N=4 SYM, relating it to the large mass limit of the Y system, and demonstrates its utility in constraining scattering amplitudes, especially for 4K gluons.

Contribution

It introduces a special multi-double-collinear limit where all mass parameters are large, aiding in fixing the periods part of the amplitudes for 4K gluons.

Findings

The limit simplifies the analysis of scattering amplitudes at strong coupling.

It provides a new constraint that helps complete the amplitude calculations for certain gluon configurations.

The approach connects collinear limits with the large mass regime of the Y system.

Abstract

Collinear limit usually provides strong constraints for scattering amplitudes. At strong coupling, collinear limit of the amplitudes in N=4 SYM is related to the large mass limit of the corresponding Y system. In this paper, we consider a special case in which all mass parameters are taken to be large, which corresponds to a multi-double-collinear limit in which a n-side polygon becomes pentagons. This limit provides a useful constraint for amplitudes, in particular, can be used to fix the periods part for the case of 4K gluons, which is the last missing piece of full amplitudes.