K_S\rightarrow γγ, K_L\rightarrowπ^0γγ$ and Unitarity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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20 pages (4 figures available on request), UMHEP-397

Scientific paper

10.1103/PhysRevD.49.2346

Agreement between the experimental value $\Gamma (K_S\rightarrow \gamma\gamma)$ and the number predicted via a one-loop chiral perturbation theory calculation has been cited as a success for the latter. On the other hand the one-loop prediction for the closely related process $K_L\rightarrow \pi^0\gamma\gamma$ has been found to be a factor three below the experimental value. Using the inputs of unitarity and dispersion relations, we demonstrate the importance of higher order loop effects to both of these processes.

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