What question did this study set out to answer?

This work aims to detail the amplitude calculation for the reaction γγ→π^0 π^0 using two-loop methods in chiral perturbation theory.

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March 5, 2026Open Access

Two Photon Reactions Beyond One Loop

Key Points

This work aims to detail the amplitude calculation for the reaction γγ→π^0 π^0 using two-loop methods in chiral perturbation theory.
Reviewed chiral perturbation theory calculations for two-photon reactions.
Matched low-energy amplitude with dispersion theory results.
Computed neutral pion polarizabilities to two-loop accuracy.
Achieved calculations for the amplitude γγ→π^0 π^0 to two loops.
Pion polarizabilities were estimated with improved accuracy and compared to existing dispersion relation results.

Abstract

We review the recent progress in the calculation of the amplitude for γγ→π⁰ π⁰ to two loops in chiral perturbation theory. We match the low-energy amplitude in chiral perturbation theory with the result of the dispersion theoretic analysis. The neutral pion polarizabilities are also given to two-loop accuracy. Then, the results are compared with the dispersion relation calculation of the pion polarizabilities.

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