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

Abstract

We use massive spinor helicity formalism to study scattering amplitudes in 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 N = 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 = ∞. Taking the residue at z = ∞ into account ensures little group covariance of the final result.