Long Distance Contribution to $K_L \to \ell^+ \ell^-$

Details Long Distance Contribution to $K_L \to \ell^+ \ell^-$ Long Distance Contribution to $K_L \to \ell^+ \ell^-$

1997-11-18

arxiv.org/abs/hep-ph/9711377v2

Nucl.Phys. B517 (1998) 339-352

Physics

High Energy Physics

High Energy Physics - Phenomenology

References added, one typo corrected. Version to appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)00116-3

We revisit the calculation of the long distance contribution to $K_L \to \mu^+ \mu^-$. We discuss this process within the framework of chiral perturbation theory, and also using simple models for the $K_L \gamma^* \gamma^*$ vertex. We argue that it is unlikely that this mode can be used to extract information on short distance parameters. The process $K_L \to e^+ e^-$ is also long-distance dominated and we find that $B(K_L \to e^+ e^-) \approx 9 \times 10^{-12}$.

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