On form factors and correlation functions in twistor space

Abstract

In this paper, we continue our study of form factors and correlation functions of gauge-invariant local composite operators in the twistor-space formulation of mathcal{N}=4 super Yang-Mills theory. Using the vertices for these operators obtained in our recent papers [1, 2], we show how to calculate the twistor-space diagrams for general NkMHV form factors via the inverse soft limit, in analogy to the amplitude case. For general operators without α indices, we then reexpress the NMHV form factors from the position-twistor calculation in terms of momentum twistors, deriving and expanding on a relation between the two twistor formalisms previously observed in the case of amplitudes. Furthermore, we discuss the calculation of generalized form factors and correlation functions as well as the extension to loop level, in particular providing an argument promised in [3].