Scattering Amplitude Constraints on Effective Field Theories

Abstract

In this talk, the speaker will discuss how the requirement of having consistent scattering amplitudes, combined with supersymmetry, can constrain higher-dimensional operators in effective field theories. The approach is based on studying the properties of on-shell S-matrix associated with local operators of interest. The theories he will consider include maximally supersymmetric theory in four and three dimensions, as well as six-dimensional theories with (1,1), (2,0) and (1,0) supersymmetry. Supersymmetric non-renormalization theorems for certain higher-dimensional operators will be derived. For the case of 6D (2,0) and (1,0) theories, the non-renormalization theorems lead to the a-theorem.