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PreprintarXiv licencearXiv

Covariant BCFW for All Masses

Abstract

We use the massive spinor-helicity formalism to describe a novel construction for massive spinors which allows one to connect the many choices of bases useful in the representation of amplitudes involving massive particles, and we use this to derive a new formulation for the general BCFW shift that is valid regardless whether or which of the particles involved are massive or massless. This formalism should help facilitate a more coherent implementation of on-shell recursion for computing amplitudes involving massive particles in four dimensions.

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BibTeX
@misc{bourjaily2026covariant,
  title = {{Covariant BCFW for All Masses}},
  author = {Jacob L. Bourjaily and Michael Plesser},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.10686},
  eprint = {2610.10686},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.10686},
}
RIS
TY  - UNPB
TI  - Covariant BCFW for All Masses
AU  - Jacob L. Bourjaily
AU  - Michael Plesser
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.10686
UR  - https://arxiv.org/abs/2610.10686
AB  - We use the massive spinor-helicity formalism to describe a novel construction for massive spinors which allows one to connect the many choices of bases useful in the representation of amplitudes involving massive particles, and we use this to derive a new formulation for the general BCFW shift that is valid regardless whether or which of the particles involved are massive or massless. This formalism should help facilitate a more coherent implementation of on-shell recursion for computing amplitudes involving massive particles in four dimensions.
ER  -