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

preprint2022arXivOpen access

Abstract

We use massive spinor helicity formalism to study scattering amplitudes in N=2∗\mathcal{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\mathcal{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 shifts of the amplitudes. We find some of the shifted amplitudes have a pole at z=∞z=\infty. Taking the residue at z=∞z=\infty into account ensures little group covariance of the final result.

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