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Abstract: We derive a set of sum rules for the light-by-light scattering and fusion:$\gamma\gamma \to all$, and verify them in lowest order QED calculations. Aprominent implication of these sum rules is the superconvergence of thehelicity-difference total cross-section for photon fusion, which in the hadronsector reveals an intricate cancellation between the pseudoscalar and tensormesons. An experimental verification of superconvergence of the polarizedphoton fusion into hadrons is called for, but will only be possible at $e^+e^-$ and $\gamma\gamma$ colliders with both beams polarized. We also show howthe sum rules can be used to measure various contributions to the low-energylight-by-light scattering.

Autor: Vladimir Pascalutsa, Marc Vanderhaeghen U. Mainz


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