arXiv · hep-ph/9808289
The Decays $K \to π\ell^+ \ell^-$ beyond Leading Order in the Chiral Expansion
Abstract
We present a model-independent analysis of $K^+\toπ^+\ell^+\ell^-$ and $K_S\toπ^0\ell^+\ell^-$ decays, including $K\to 3 π$ unitarity corrections and a general decomposition of the dispersive amplitude. From the existing data on $K^+\toπ^+ e^+ e^-$ we predict the ratio $R= B(K^+\toπ^+μ^+μ^-)/B(K^+\toπ^+ e^+ e^-)$ to be larger than 0.23, in slight disagreement with the recent measurement $R = 0.167 \pm 0.036$. Consequences for the $K^\pm \toπ^\pm e^+ e^-$ charge asymmetries and for the $K_L\toπ^0 e^+ e^-$ mode are also discussed.
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G. D'Ambrosio, G. Ecker, G. Isidori, J. Portoles. 1998-08-10. The Decays $K \to π\ell^+ \ell^-$ beyond Leading Order in the Chiral Expansion. https://doi.org/10.1088/1126-6708%2F1998%2F08%2F004
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