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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Light-by-light scattering at three loops in massless QCD and QED: amplitudes and cross sections

  • Piotr Bargieła1
  • Amlan Chakraborty2
  • Giulio Gambuti3
  • Melih A. Ozcelik4
4 affiliations
  1. 1The University of Edinburgh
  2. 2Universitá di Milano
  3. 3ETH Zürich
  4. 4Université Paris-Saclay, CNRS, IJCLab
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Abstract

A bstract : We present the calculation of three-loop massless QCD and QED helicity amplitudes for light-by-light scattering. We make use of Lorentz tensor decomposition in the ’t Hooft-Veltman dimensional regularisation scheme to reduce the complexity of the computation. Our analytic amplitude results are remarkably compact and can be efficiently evaluated numerically. We employ them to compute the corresponding NNLO differential cross-section predictions in the invariant mass and rapidity distributions of the di-photon system, for which we find agreement with the experimental ATLAS data from ultra-peripheral heavy-ion collisions.

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Cite

BibTeXRIS
BibTeX
@article{bargiela2026lightbylight,
  title = {{Light-by-light scattering at three loops in massless QCD and QED: amplitudes and cross sections}},
  author = {Piotr Bargieła and Amlan Chakraborty and Giulio Gambuti and Melih A. Ozcelik},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)043},
  url = {https://link.springer.com/10.1007/JHEP10(2026)043},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Light-by-light scattering at three loops in massless QCD and QED: amplitudes and cross sections
AU  - Piotr Bargieła
AU  - Amlan Chakraborty
AU  - Giulio Gambuti
AU  - Melih A. Ozcelik
PY  - 2026
DA  - 2026/10/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)043
UR  - https://link.springer.com/10.1007/JHEP10(2026)043
AB  - A bstract : We present the calculation of three-loop massless QCD and QED helicity amplitudes for light-by-light scattering. We make use of Lorentz tensor decomposition in the ’t Hooft-Veltman dimensional regularisation scheme to reduce the complexity of the computation. Our analytic amplitude results are remarkably compact and can be efficiently evaluated numerically. We employ them to compute the corresponding NNLO differential cross-section predictions in the invariant mass and rapidity distributions of the di-photon system, for which we find agreement with the experimental ATLAS data from ultra-peripheral heavy-ion collisions.
SN  - 1029-8479
ER  -