https://doi.org/10.1140/epjc/s10052-016-4449-2
Regular Article - Theoretical Physics
Dispersive treatment of
and
Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
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Received:
19
September
2016
Accepted:
19
October
2016
Published online:
5
November
2016
Abstract
We analyse the rare kaon decays
and
in a dispersive framework in which the weak Hamiltonian carries momentum. Our analysis extends predictions from lowest order
chiral perturbation theory (
PT
) to fully account for effects from final-state interactions, and is free from ambiguities associated with extrapolating the kaon off-shell. Given input from
and
, we solve the once-subtracted dispersion relations numerically to predict the rates for
and
. In the leptonic modes, we find sizeable corrections to the
PT
predictions for the integrated rates.
© The Author(s), 2016

