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

Abstract

We use massive spinor helicity formalism to study scattering amplitudes in $\mathcal{N}=2^{\ast }$ 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.

Elaborating the introduction and some sections. Two references are added. Some typos are corrected

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Cited by in corpus (3)

• Supersymmetric Massive Gravity
• On-shell Supersymmetry and higher-spin amplitudes
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory