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PreprintarXiv licencearXiv

Helicity-Resolved Constructibility from Unified Ward Identities

  • Jaehoon Jeong
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Abstract

We show that the large-z behavior of massive higher-spin particles under all-line transverse shifts is controlled by the helicity magnitude rather than the total spin. The apparent additional z growth of nonextremal higher-spin wavefunctions is removed by unified Ward identities acting independently on each vector index. To expose this structure, we embed a four-dimensional massive momentum and its mass into an auxiliary null five-vector, whose fifth-current components characterize the breaking and restoration of the massless Ward identities. These identities determine the fixed-helicity large-z scaling and yield a helicity-resolved constructibility criterion valid for arbitrary spin. Provided the stripped kinematic tensor remains finite in the massless limit, increasing the total spin does not by itself worsen constructibility, and amplitudes with nonnegative coupling dimension are constructible for all helicity configurations at five points and beyond.

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Cite

BibTeXRIS
BibTeX
@misc{jeong2026helicityresolved,
  title = {{Helicity-Resolved Constructibility from Unified Ward Identities}},
  author = {Jaehoon Jeong},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35976},
  eprint = {2609.35976},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35976},
}
RIS
TY  - UNPB
TI  - Helicity-Resolved Constructibility from Unified Ward Identities
AU  - Jaehoon Jeong
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35976
UR  - https://arxiv.org/abs/2609.35976
AB  - We show that the large-z behavior of massive higher-spin particles under all-line transverse shifts is controlled by the helicity magnitude rather than the total spin. The apparent additional z growth of nonextremal higher-spin wavefunctions is removed by unified Ward identities acting independently on each vector index. To expose this structure, we embed a four-dimensional massive momentum and its mass into an auxiliary null five-vector, whose fifth-current components characterize the breaking and restoration of the massless Ward identities. These identities determine the fixed-helicity large-z scaling and yield a helicity-resolved constructibility criterion valid for arbitrary spin. Provided the stripped kinematic tensor remains finite in the massless limit, increasing the total spin does not by itself worsen constructibility, and amplitudes with nonnegative coupling dimension are constructible for all helicity configurations at five points and beyond.
ER  -