About one long-range contribution to K+ -> pi+ l+ l- decays
Peter Lichard (Department of Physics, Astronomy, University of, Pittsburgh, USA, Institute of Physics, Silesian University, Czech, Republic)
TL;DR
This paper examines the long-range mechanisms in K+ -> pi+ l+ l- decays, highlighting inconsistencies in previous models, estimating branching fractions, and discussing potential interference effects with dominant mesonic contributions.
Contribution
It identifies issues in prior calculations, estimates decay branching fractions, and explores interference effects in long-range decay mechanisms.
Findings
The long-range mechanism alone cannot account for experimental data.
Interference with mesonic mechanisms may reveal the long-range contribution.
Inconsistencies exist between previous theoretical calculations.
Abstract
We investigate the mechanism of K+ -> pi+ l+ l- (l= e, mu) decays in which a virtual photon is emitted either from the incoming K+ or the outgoing pi+. We point out some inconsistencies with and between two previous calculations, discuss the possible experimental inputs, and estimate the branching fractions. This mechanism alone fails to explain the existing experimental data by more than one order-of-magnitude. But it may show itself by its interference with the leading long-range mechanism dominated by the a_1^+ and rho^0 mesons.
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