Scattering Amplitudes and BCFW in $\mathcal{N}=2^*$ Theory

Abstract

We use massive spinor helicity formalism to study scattering amplitudes in \mathcal{N}=2^*𝒩=2* super-Yang-Mills theory in four dimensions. We compute the amplitudes at an arbitrary point in the Coulomb branch of this theory. We compute amplitudes using projection from \mathcal{N}=4𝒩=4 theory and write three point amplitudes in a convenient form using special kinematics. We then compute four point amplitudes by carrying out massive BCFW shift of the amplitudes. We find some of the shifted amplitudes have a pole at z=\inftyz=∞. Taking the residue at z=\inftyz=∞ into account ensures little group covariance of the final result.