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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Compton amplitude and contact term(s) in the spinor helicity formalism

  • Aakash Kumar1
  • Arnab Rudra1
  • Rahul Shaw1
  1. 1Indian Institute of Science Education and Research Bhopal
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Abstract

A bstract : In gauge theories, contact terms play an important role in ensuring gauge invariance. In the spinor-helicity formalism, the choice of a gauge-fixing condition manifests itself in the form of the choice of reference vector to write the massless polarization vector(s). However, this choice must be irrelevant in any gauge-invariant observable. We use this principle to determine contact terms for electromagnetic Compton amplitude. We considered three-point amplitude between two massive particles & a photon to be one which is responsible for soft photon theorem/Coulomb interaction. We demonstrate that it is possible to use the above-mentioned principle to find the contact term for the tree-level Compton amplitude which makes it gauge invariant, unitary and free of spurious poles. We also verify the results with the amplitude factorization approach.

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Cite

BibTeXRIS
BibTeX
@article{kumar2026compton,
  title = {{Compton amplitude and contact term(s) in the spinor helicity formalism}},
  author = {Aakash Kumar and Arnab Rudra and Rahul Shaw},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)010},
  url = {https://link.springer.com/10.1007/JHEP10(2026)010},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Compton amplitude and contact term(s) in the spinor helicity formalism
AU  - Aakash Kumar
AU  - Arnab Rudra
AU  - Rahul Shaw
PY  - 2026
DA  - 2026/10/01
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)010
UR  - https://link.springer.com/10.1007/JHEP10(2026)010
AB  - A bstract : In gauge theories, contact terms play an important role in ensuring gauge invariance. In the spinor-helicity formalism, the choice of a gauge-fixing condition manifests itself in the form of the choice of reference vector to write the massless polarization vector(s). However, this choice must be irrelevant in any gauge-invariant observable. We use this principle to determine contact terms for electromagnetic Compton amplitude. We considered three-point amplitude between two massive particles & a photon to be one which is responsible for soft photon theorem/Coulomb interaction. We demonstrate that it is possible to use the above-mentioned principle to find the contact term for the tree-level Compton amplitude which makes it gauge invariant, unitary and free of spurious poles. We also verify the results with the amplitude factorization approach.
SN  - 1029-8479
ER  -