Photon-photon scattering: a tutorial
Yi Liang, Andrzej Czarnecki

TL;DR
This paper clarifies the correct computation of low-energy photon-photon scattering, addressing recent conflicting claims by identifying errors in previous analyses and providing a reliable method consistent with experimental evidence.
Contribution
It offers a corrected, straightforward approach to calculating low-energy gamma gamma scattering, resolving recent disputes and clarifying the connection to Higgs decay processes.
Findings
Previous claims were inconsistent with experimental data
The error stemmed from improper manipulation of divergent integrals
The paper presents a correct, simple calculation method
Abstract
Long-established results for the low-energy photon-photon scattering, gamma gamma --> gamma gamma, have recently been questioned. We analyze that claim and demonstrate that it is inconsistent with experience. We demonstrate that the mistake originates from an erroneous manipulation of divergent integrals and discuss the connection with another recent claim about the Higgs decay into two photons. We show a simple way of correctly computing the low-energy gamma gamma scattering.
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