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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Spacelike and timelike structure functions: a dispersive crossing relation

  • Aniruddha Venkata1
  1. 1Universität Bonn
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Abstract

A bstract : Crossing symmetry suggests that deep inelastic scattering and semi inclusive electron-positron annihilation are governed by analytic continuations of a single forward amplitude. Drell, Levy, and Yan proposed that the hadronic tensor admits analytic continuation and demonstrated, in reasonable models, that connected contributions to the cross-section continue. They also identified obstructions to continuation of the current correlator. In this work we supplement their observation with a new dispersive proposal for analytic continuation of the correlator and, assuming polynomial boundedness, derive subtracted dispersion relations relating spacelike and timelike cross sections. We introduce a new factorized function that quantifies the obstruction to crossing and compute its hard kernel at lowest order. The resulting identity connects distribution functions in deep inelastic scattering to fragmentation functions in annihilation.

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Cite

BibTeXRIS
BibTeX
@article{venkata2026spacelike,
  title = {{Spacelike and timelike structure functions: a dispersive crossing relation}},
  author = {Aniruddha Venkata},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)187},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)187},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Spacelike and timelike structure functions: a dispersive crossing relation
AU  - Aniruddha Venkata
PY  - 2026
DA  - 2026/10/16
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)187
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)187
AB  - A bstract : Crossing symmetry suggests that deep inelastic scattering and semi inclusive electron-positron annihilation are governed by analytic continuations of a single forward amplitude. Drell, Levy, and Yan proposed that the hadronic tensor admits analytic continuation and demonstrated, in reasonable models, that connected contributions to the cross-section continue. They also identified obstructions to continuation of the current correlator. In this work we supplement their observation with a new dispersive proposal for analytic continuation of the correlator and, assuming polynomial boundedness, derive subtracted dispersion relations relating spacelike and timelike cross sections. We introduce a new factorized function that quantifies the obstruction to crossing and compute its hard kernel at lowest order. The resulting identity connects distribution functions in deep inelastic scattering to fragmentation functions in annihilation.
SN  - 1029-8479
ER  -