From B-meson anomalies to Kaon physics with scalar leptoquarks

Abstract

In this work we study possible connections between $B$-meson anomalies and Kaon physics observables in the context of combined solutions with the singlet and triplet scalar leptoquarks $S_1$ and $S_3$. By assuming a flavor structure for the leptoquark couplings dictated by a minimally broken $U(2{)}^5$ flavor symmetry we can make a sharp connection between these two classes of observables. We find that the bound on $\mathcal{B}(K^{+}\to {\pi }^{+}\nu \nu )$ from NA62 puts already some tension in the model, while the present limits on $\mathcal{B}(K_L\to {\mu }^{+}{\mu }^{-})$ and $\mu \to e$ conversion in nuclei can be saturated. Relaxing instead the flavor assumption we study what values for $\mathcal{B}(K^{+}\to {\pi }^{+}\nu \nu )$, as well as for $\mathcal{B}(K_L\to {\pi }^0\nu \nu )$ and $\mathcal{B}(K_{L,S}\to {\mu }^{+}{\mu }^{-})$, are viable compatibly with all other phenomenological constraints.

40 pages, 11 figures; v2: references updated

References in corpus (30)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of the fine-structure constant as a test of the Standard Model
• Measurement of the permanent electric dipole moment of the neutron
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• B-physics anomalies: a guide to combined explanations
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Test of lepton universality in beauty-quark decays
• Measurement of the branching ratio of ${\bar{B}}^0\to D^{\ast +}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with a semileptonic tagging method
• Search for new high-mass phenomena in the dilepton final state using 36 fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Search for additional heavy neutral Higgs and gauge bosons in the ditau final state produced in 36 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Measurement of the $\tau$ lepton polarization and $R(D^{\ast })$ in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$ with one-prong hadronic $\tau$ decays at Belle
• B-decay Anomalies in a Composite Leptoquark Model
• Implications of new evidence for lepton-universality violation in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• With or without U(2)? Probing non-standard flavor and helicity structures in semileptonic B decays
• Direct $CP$ Violation in $K\to {\mu }^{+}{\mu }^{-}$
• Improved Bhabha cross section at LEP and the number of light neutrino species
• Search for Lepton Flavor Violating Decays of the Neutral Kaon
• A search for the decay modes B+/- to h+/- tau l
• Reevaluation of Neutron Electric Dipole Moment with QCD Sum Rules
• Combined explanations of $(g-2{)}_{\mu }$, $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ anomalies in a two-loop radiative neutrino mass model
• Probing low energy scalar leptoquarks by the leptonic $W$ and $Z$ couplings
• Probing Lepton Flavour Universality with $K\to \pi \nu \bar{\nu }$ decays
• Theoretical and experimental status of rare charm decays
• Measurement of the $D^{\ast -}$ polarization in the decay $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$
• New Physics in Rare B Decays after Moriond 2021
• Search for lepton number and flavour violation in $K^{+}$ and ${\pi }^0$ decays
• ${\epsilon }^{\prime }/\epsilon$ in the Standard Model at the Dawn of the 2020s
• Addendum to: Combined Constraints on First Generation Leptoquarks
• A complete update of ${\epsilon }^{\prime }/\epsilon$ in the Standard Model
• EDM with and beyond flavor invariants

Cited by in corpus (10)

• Combined explanation of $W$-mass, muon $g-2$, $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$ anomalies in a singlet-triplet scalar leptoquark model
• Towards testing the magnetic moment of the tau at one part per million
• Adding Flavor to the SMEFT
• New Physics in $b\to s\mu \mu$: FCC-hh or a Muon Collider?
• Flavor Non-universal Vector Leptoquark Imprints in $K\to \pi \nu \bar{\nu }$ and $\Delta F=2$ Transitions
• Marriage between neutrino mass and flavor anomalies
• Workshop summary -- Kaons@CERN 2023
• Searching and identifying leptoquarks through low-energy polarized scattering processes $e^{-}p\to e^{-}{\Lambda }_c$
• Flavour anomalies meet flavour symmetry
• Perturbative unitarity constraints on generic Yukawa interactions