The Decays $K \to π\ell^+ \ell^-$ beyond Leading Order in the Chiral Expansion

Details The Decays $K \to π\ell^+ \ell^-$ beyond Leading Order in the Chiral Expansion The Decays $K \to π\ell^+ \ell^-$ beyond Leading Order in the Chiral Expansion

1998-08-10

arxiv.org/abs/hep-ph/9808289v1

JHEP 9808:004,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, latex

Scientific paper

10.1088/1126-6708/1998/08/004

We present a model-independent analysis of $K^+\to\pi^+\ell^+\ell^-$ and $K_S\to\pi^0\ell^+\ell^-$ decays, including $K\to 3 \pi$ unitarity corrections and a general decomposition of the dispersive amplitude. From the existing data on $K^+\to\pi^+ e^+ e^-$ we predict the ratio $R= B(K^+\to\pi^+\mu^+\mu^-)/B(K^+\to\pi^+ e^+ e^-)$ to be larger than 0.23, in slight disagreement with the recent measurement $R = 0.167 \pm 0.036$. Consequences for the $K^\pm \to\pi^\pm e^+ e^-$ charge asymmetries and for the $K_L\to\pi^0 e^+ e^-$ mode are also discussed.

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