Alladi Ramakrishnan Hall

Loops and Bridges on the Coulomb branch

Subramanya Hegde

IMSc

Scattering amplitudes of N=4 SYM theory receive a lot of attention due to their rich mathematical structure, as well as perturbative integrability in the planar sector. However, most of the attention has been in the case of N=4 SYM in the origin of the moduli space where all the fields are massless. In particular, modern on-shell methods as well as their associated on-shell symmetries have not been explored away from the origin of the moduli space, where the scalars of SYM take vacuum expectation values rendering some of the fields massive, called the Coulomb branch. Recently, tree amplitudes of the theory were constructed using little group covariant supersymmetric massive spinor helicity formalism by Herderschee et al. We will discuss the loop amplitudes in this theory constructed using unitarity cuts. We will first discuss four point one-loop and two-loop amplitudes constructed using the double cut on loop diagrams. We will then discuss the quadruple cuts of certain four point one loop amplitudes, which are also related to the on-shell formulation of massive super-BCFW used in the computation of tree amplitudes. This is the first step in investigating a possible amplituhedron-like structure on the Coulomb branch. This work is done in collaboration with Md. Abhishek, Dileep P. Jatkar, Arnab Priya Saha and Amit Suthar.