Implications of $b\to s\mu \mu$ Anomalies for Future Measurements of $B\to K^{(\ast )}\nu \bar{\nu }$ and $K\to \pi \nu \bar{\nu }$

Abstract

We investigate the consequences of deviations from the Standard Model observed in $b\to s\mu \mu$ 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 $B\to K^{(\ast )}\nu \bar{\nu }$ and $K\to \pi \nu \bar{\nu }$ 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 $b\to s\mu \mu$ deviations.

7 pages, 2 figures

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Cited by in corpus (17)

• Implications of new evidence for lepton-universality violation in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Revisiting $B\to K^{(\ast )}\nu \bar{\nu }$ decays in the Standard Model and beyond
• Standard Model predictions for $B\to K{\ell }^{+}{\ell }^{-}$, $B\to K{\ell }_1^{-}{\ell }_2^{+}$ and $B\to K\nu \bar{\nu }$ using form factors from $N_f=2+1+1$ lattice QCD
• Search for $B^{+}\to K^{+}\nu \bar{\nu }$ decays using an inclusive tagging method at Belle II
• Interplay of dineutrino modes with semileptonic rare $\mathbf{B}$-decays
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• Impact of $B\to K\nu \bar{\nu }$ measurements on beyond the Standard Model theories
• $R_{K^{(\ast )}}^{\nu }$ and non-standard neutrino interactions
• $B$ anomalies under the lens of electroweak precision
• Flavor Non-universal Vector Leptoquark Imprints in $K\to \pi \nu \bar{\nu }$ and $\Delta F=2$ Transitions
• Investigating New Physics through the Observables of Semileptonic $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ Decay
• Testing Lepton Flavour Universality in ${\rm Y}(4S)$ Decays
• Recent progress in decays of $b$ and $c$ hadrons
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• A comment on lepton mixing