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Constraints on the hadronic light-by-light tensor in corner kinematics for the muon g − 2

Bijnens, J. LU orcid ; Hermansson-Truedsson, N. LU orcid and Rodríguez-Sánchez, A. LU (2025) In Journal of High Energy Physics 2025(3).
Abstract

The dispersive approach to the hadronic light-by-light contribution to the muon g − 2 involves an integral over three virtual photon momenta appearing in the light-by-light tensor. Building upon previous works, we systematically derive short-distance constraints in the region where two momenta are large compared to the third, the so-called Melnikov-Vainshtein or corner region. We include gluonic corrections for the different scalar functions appearing in the Lorentz decomposition of the underlying tensor, and explicitly check analytic agreement with alternative operator product expansions in overlapping regimes of validity. A very strong pattern of cancellations is observed for the final g − 2 integrand. The last observation suggests... (More)

The dispersive approach to the hadronic light-by-light contribution to the muon g − 2 involves an integral over three virtual photon momenta appearing in the light-by-light tensor. Building upon previous works, we systematically derive short-distance constraints in the region where two momenta are large compared to the third, the so-called Melnikov-Vainshtein or corner region. We include gluonic corrections for the different scalar functions appearing in the Lorentz decomposition of the underlying tensor, and explicitly check analytic agreement with alternative operator product expansions in overlapping regimes of validity. A very strong pattern of cancellations is observed for the final g − 2 integrand. The last observation suggests that a very compact expression only containing the axial current form factors can provide a good approximation of the corner region of the hadronic light-by-light tensor.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Effective Field Theories of QCD, Higher-Order Perturbative Calculations, Nonperturbative Effects, Precision QED
in
Journal of High Energy Physics
volume
2025
issue
3
article number
94
publisher
Springer
external identifiers
  • scopus:105000245793
ISSN
1029-8479
DOI
10.1007/JHEP03(2025)094
language
English
LU publication?
yes
additional info
Publisher Copyright: © The Author(s) 2025.
id
ffedd3b8-7329-4abc-bcf4-1d96fdb00d7e
date added to LUP
2025-11-03 16:17:27
date last changed
2025-11-05 09:49:00
@article{ffedd3b8-7329-4abc-bcf4-1d96fdb00d7e,
  abstract     = {{<p>The dispersive approach to the hadronic light-by-light contribution to the muon g − 2 involves an integral over three virtual photon momenta appearing in the light-by-light tensor. Building upon previous works, we systematically derive short-distance constraints in the region where two momenta are large compared to the third, the so-called Melnikov-Vainshtein or corner region. We include gluonic corrections for the different scalar functions appearing in the Lorentz decomposition of the underlying tensor, and explicitly check analytic agreement with alternative operator product expansions in overlapping regimes of validity. A very strong pattern of cancellations is observed for the final g − 2 integrand. The last observation suggests that a very compact expression only containing the axial current form factors can provide a good approximation of the corner region of the hadronic light-by-light tensor.</p>}},
  author       = {{Bijnens, J. and Hermansson-Truedsson, N. and Rodríguez-Sánchez, A.}},
  issn         = {{1029-8479}},
  keywords     = {{Effective Field Theories of QCD; Higher-Order Perturbative Calculations; Nonperturbative Effects; Precision QED}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Constraints on the hadronic light-by-light tensor in corner kinematics for the muon g − 2}},
  url          = {{http://dx.doi.org/10.1007/JHEP03(2025)094}},
  doi          = {{10.1007/JHEP03(2025)094}},
  volume       = {{2025}},
  year         = {{2025}},
}