Long-distance contribution to the forward-backward asymmetry in decays K+ --> pi+ l+ l-

Abstract

The long-distance contribution via the two-photon intermediate state to the forward-backward asymmetries in decays K+ --> pi+ l+ l- (l=e and mu) has been studied within the standard model. In order to evaluate the dispersive part of the K+ --> pi+ gamma* gamma* --> pi+ l+ l- amplitude, we employ a phenomenological form factor to soften the ultraviolet behavior of the transition. It is found that, this long-distance transition, although subject to some theoretical uncertainties, can lead to significant contributions to the forward-backward asymmetries, which could be tested in the future high-precise experiments.

arXiv comment13 pages, 5 figures

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• New measurement of the K+- --> pi+-mu+mu- decay
• The s ---> d gamma decay in and beyond the Standard Model
• New physics in $s\to d$ semileptonic transitions: rare hyperon vs. kaon decays
• A measurement of the $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decay
• CPV tests with rare kaon decays
• The Forward-Backward Asymmetry in the $B\to \pi {\ell }^{+}{\ell }^{-}$ Decay