On Soft Theorems And Form Factors In N=4 SYM Theory

TL;DR

This paper derives and analyzes soft theorems for form factors in N=4 SYM theory, revealing their universal structure at tree and one-loop levels, and explores potential extensions and implications for integrability.

Contribution

It extends soft theorem analysis to form factors in N=4 SYM, including loop corrections and proposes a generalization of on-shell diagrams based on soft behavior.

Findings

Soft theorems for form factors mirror amplitude case.

Loop corrections suggest universality in soft limits.

Potential for extending on-shell diagram techniques.

Abstract

Soft theorems for the form factors of 1/2-BPS and Konishi operator supermultiplets are derived at tree level in N=4 SYM theory. They have a form identical to the one in the amplitude case. For MHV sectors of stress tensor and Konishi supermultiplets loop corrections to soft theorems are considered at one loop level. They also appear to have universal form in soft limit. Possible generalization of the on-shell diagrams to the form factors based on leading soft behavior is suggested. Finally, we give some comments on inverse soft limit and integrability of form factors in the limit $q^2\to 0$