On NMHV form factors in N=4 SYM theory from generalized unitarity

TL;DR

This paper develops a supersymmetric generalized unitarity method to compute NMHV form factors in N=4 SYM theory, providing explicit results at tree and one loop levels and exploring their structural properties.

Contribution

It introduces a supersymmetric approach to generalized unitarity for NMHV form factors in N=4 SYM and derives explicit formulas for 3- and 4-point cases.

Findings

Explicit 3- and 4-point NMHV form factors at tree and one loop.

Structural analysis of n-point NMHV form factors at one loop.

Relation between form factors with zero super momentum and superamplitude derivatives.

Abstract

In this paper a supersymmetric version of a generalized unitarity cut method in application to MHV and NMHV for form factors of operators from the N=4 SYM stress-tensor current supermultiplet $T^{AB}$ at one loop is discussed. The explicit answers for 3 and 4 point NMHV form factors at tree and one loop level are obtained. The general structure of n-point NMHV form factor at one loop is discussed as well as the relation between form factor with super momentum equal to zero and the logarithmic derivative of the superamplitude with respect to the coupling constant.