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

Abhishek, Md; Hegde, Subramanya; Jatkar, Dileep; Saha, Arnab Priya

doi:10.21468/SciPostPhys.13.1.008

SciPost Physics

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

Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha

SciPost Phys. 13, 008 (2022) · published 25 July 2022

doi: 10.21468/SciPostPhys.13.1.008
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.1.008
TI  - Scattering Amplitudes and BCFW in $\mathcal{N}=2^*$ Theory
PY  - 2022/07/25
UR  - https://scipost.org/SciPostPhys.13.1.008
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 1
SP  - 008
A1  - Abhishek, Md
AU  - Hegde, Subramanya
AU  - Jatkar, Dileep
AU  - Saha, Arnab Priya
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.13.1.008,
	title={{Scattering Amplitudes and BCFW in $\mathcal{N}=2^*$ Theory}},
	author={Md. Abhishek and Subramanya Hegde and Dileep P. Jatkar and Arnab Priya Saha},
	journal={SciPost Phys.},
	volume={13},
	pages={008},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.1.008},
	url={https://scipost.org/10.21468/SciPostPhys.13.1.008},
}

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Science and Engineering Research Board [SERB]