Light quark loops in $$ {K}^{\pm}\to {\pi}^{\pm}\nu \overline{\nu} $$ from vector meson dominance and update on the Kaon Unitarity Triangle

We use vector meson dominance to calculate non-perturbative contributions to the branching ratio of the rare decay $$ {K}^{\pm}\to {\pi}^{\pm}\nu \overline{\nu} $$ K ± → π ± ν ν ¯ stemming from matrix elements involving up-quark loops. The importance of this observable as well as of K 0 → π 0 l + l...

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Bibliographic Details
Published in:The journal of high energy physics 2024-12, Vol.2024 (12), Article 97
Main Authors: Lunghi, Enrico, Soni, Amarjit
Format: Article
Language:English
Subjects:
chiral lagrangian
CKM parameters
kaons
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
rare decays
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Summary:We use vector meson dominance to calculate non-perturbative contributions to the branching ratio of the rare decay $$ {K}^{\pm}\to {\pi}^{\pm}\nu \overline{\nu} $$ K ± → π ± ν ν ¯ stemming from matrix elements involving up-quark loops. The importance of this observable as well as of K 0 → π 0 l + l − and of the direct CP violation parameter $$ {\epsilon}_K^{\prime } $$ ϵ K ′ is then discussed in the context of a Unitarity Triangle sqtudy based on Kaon sector observables only.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2024)097