Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering

A H, Ajjath; Chaubey, Ekta; Shao, Hua-Sheng

doi:10.1007/JHEP03(2024)121

Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering

Ajjath A H
(
- Paris, LPTHE
)
,
Ekta Chaubey
(
- U. Bonn, Phys. Inst., BCTP
)
,
Hua-Sheng Shao
(
- Paris, LPTHE
)

Dec 28, 2023

35 pages

Published in:

JHEP 03 (2024) 121,
JHEP 03 (2024) 121

Published: Mar 20, 2024

e-Print:

2312.16966 [hep-ph]

DOI:

10.1007/JHEP03(2024)121

View in:

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Abstract: (Springer)

We present the analytic and compact two-loop helicity amplitudes for QCD and QED corrections to the light-by-light scattering process with massive internal fermions. We express the master integrals either in terms of multiple polylogarithms or in terms of iterated integrals with dlog one-forms. We also elaborate on optimising the analytic results for each phase-space region. This makes the numerical evaluation of the scattering amplitudes fast, stable and suitable for phenomenological applications.

Note:

35 pages, 1 figure, v2: journal version (two long equations move into appendix)

Higher-Order Perturbative Calculations
Precision QED
Scattering Amplitudes
photon photon: scattering
fermion: massive
helicity: amplitude analysis
quantum electrodynamics: correction
quantum chromodynamics
stability
scattering amplitude

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