Long-Distance Contributions to the $K_{L} \to μ^{+} μ^{-}$ Decay Width

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25 May 1998

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 80 (21) , 4633-4636
https://doi.org/10.1103/physrevlett.80.4633

Abstract

The dispersive two-photon contribution to the

K_{L} \to μ^{+} μ^{-}

decay amplitude is analyzed, using chiral perturbation theory techniques and large-

N_{C}

considerations. A consistent description of the decays

π^{0} \to e^{+} e^{-}

,

η \to μ^{+} μ^{-}

, and

K_{L} \to μ^{+} μ^{-}

is obtained. As a by-product, one predicts

B (η \to e^{+} e^{-}) = (5.8 \pm 0.2) \times 10^{- 9}

and

B (K_{L} \to e^{+} e^{-}) = (9.0 \pm 0.4) \times 10^{- 12}

.

Keywords

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