On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes View Full Text


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Article Info

DATE

2019-02

AUTHORS

Giancarlo D’Ambrosio, David Greynat, Marc Knecht

ABSTRACT

The amplitudes for the rare decay modes K± → π±ℓ+ℓ− and KS → π0ℓ+ℓ− are studied with the aim of obtaining predictions for them, such as to enable the possibility to search for violations of lepton-flavour universality in the kaon sector. The issue is first addressed from the perspective of the low-energy expansion, and a two-loop representation of the corresponding form factors is constructed, leaving as unknown quantities their values and slopes at vanishing momentum transfer. In a second step a phenomenological determination of the latter is proposed. It consists of the contribution of the resonant two-pion state in the P wave, and of the leading short-distance contribution determined by the operator-product expansion. The interpolation between the two energy regimes is described by an infinite tower of zero-width resonances matching the QCD short-distance behaviour. Finally, perspectives for future improvements in the theoretical understanding of these amplitudes are discussed. More... »

PAGES

49

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    http://scigraph.springernature.com/pub.10.1007/jhep02(2019)049

    DOI

    http://dx.doi.org/10.1007/jhep02(2019)049

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