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arXiv · 2202.12204

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

Md. Abhishek·Subramanya Hegde·Dileep P. Jatkar·Arnab Priya Saha
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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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Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha. 2022-02-24. Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast}$ Theory. https://doi.org/10.21468/scipostphys.13.1.008

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