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Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast}$ Theory
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abstract
We use massive spinor helicity formalism to study scattering amplitudes in $\mathcal{N}=2^*$ 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 $\mathcal{N}=4$ 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 $z=\infty$. Taking the residue at $z=\infty$ into account ensures little group covariance of the final result.
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Cited by 1 Pith paper
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Supersymmetry, Supergravity and the Consistency of On-Shell Massive Superamplitudes
Consistent scattering amplitudes force a massless spin-3/2 particle to be the gravitino of a supergravity theory, and constrain massive BPS vector couplings to form a Lie algebra.
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