On-shell supersymmetry for massive multiplets

TL;DR

This paper develops a framework for analyzing scattering amplitudes involving massive particles using on-shell supersymmetry and spinor helicity formalism, enabling explicit construction of supersymmetric amplitudes and recursion relations.

Contribution

It introduces a method to derive supersymmetry transformations and construct supersymmetric scattering amplitudes for massive particles using on-shell superspaces and recursion relations.

Findings

Explicit supersymmetric amplitudes in SQCD and Higgs models

Supersymmetric recursion relations for massive particles

Construction of on-shell superspaces for massive multiplets

Abstract

The consequences of on-shell supersymmetry are studied for scattering amplitudes with massive particles in four dimensions. Using the massive version of the spinor helicity formalism the supersymmetry transformations relating products of on-shell states are derived directly from the on-shell supersymmetry algebra for any massive representation. Solutions to the resulting Ward identities can be constructed as functions on the on-shell superspaces that are obtained from the coherent state method. In simple cases it is shown that these superspaces allow one to construct explicitly supersymmetric scattering amplitudes. Supersymmetric on-shell recursion relations for tree-level superamplitudes with massive particles are introduced. As examples, simple supersymmetric amplitudes are constructed in SQCD, the Abelian Higgs model, the Coulomb branch of N=4 super Yang-Mills, QCD with an effective Higgs-gluon coupling and for massive vector boson currents.