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

Feb 24, 2022
Published in:
  • SciPost Phys. 13 (2022) 1, 008,
  • SciPost Phys. 13 (2022) 008
  • Published: Jul 25, 2022
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Abstract: (SciPost Fundation)
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.
Note:
  • Elaborating the introduction and some sections. Two references are added. Some typos are corrected
  • dimension: 4
  • spinor: helicity
  • spinor: massive
  • scattering amplitude
  • Coulomb
  • covariance
  • pole
  • kinematics
  • supersymmetry