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arXiv:hep-ph/9708326·v1·High Energy Physics — Phenomenology

Can we extract short-distance information from B(K_L -> mu^+ mu^-)?

G. D'Ambrosio (1) · G. Isidori (2) · J. Portoles (1) ((1) INFN, Sezione di Napoli, Napoli, Italy, (2) INFN, Laboratori Nazionali di Frascati, Frascati, Italy)

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Abstract

A new analysis of the long-distance two-photon dispersive amplitude of K_L -> mu^+ mu^- is presented. We introduce a phenomenological parameterization of the K_L -> gamma^* gamma^* form factor, constrained at low energies by K_L -> gamma l^+ l^- (l = e,mu) data and at high energies by perturbative QCD. Using this form factor we provide a reliable estimate of magnitude and relative uncertainty of the two-photon dispersive contribution to K_L -> mu^+ mu^-. We finally discuss the implications of this analysis for the extraction of short-distance information from B(K_L -> mu^+ mu^-).

Comments: 12 pages, LaTeX, 3 figures included as PS files