English

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

High Energy Physics - Theory 2022-08-15 v3

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.

Keywords

Cite

@article{arxiv.2202.12204,
  title  = {Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast}$ Theory},
  author = {Md. Abhishek and Subramanya Hegde and Dileep P. Jatkar and Arnab Priya Saha},
  journal= {arXiv preprint arXiv:2202.12204},
  year   = {2022}
}

Comments

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