Implications of $b\to s\mu\mu$ anomalies for future measurements of $B \to K^{(*)} \nu \bar \nu$ and $K\to \pi \nu \bar \nu$
Résumé
We investigate the consequences of deviations from the Standard Model observed in b→sμμ transitions for flavour-changing neutral-current processes involving down-type quarks and neutrinos. We derive the relevant Wilson coefficients within an effective field theory approach respecting the SM gauge symmetry, including right-handed currents, a flavour structure based on approximate U(2) symmetry, and assuming only SM-like light neutrinos. We discuss correlations among B→K(⁎)νν¯ and K→πνν¯ branching ratios in the case of linear Minimal Flavour Violation and in a more general framework, highlighting in each case the role played by various New Physics scenarios proposed to explain b→sμμ deviations.
Mots clés
Flavour physics
Rare decays
Effective field theory
Beyond the standard model
Minimal flavour violation
B: semileptonic decay
B: branching ratio
branching ratio: ratio
neutral current: flavor changing
flavor: violation: minimal
effective field theory
operator: Wilson
operator: dimension: 6
numerical calculations
new physics
B --> K*(892) muon+ muon-
K --> pi neutrino antineutrino