A unified leptoquark model confronted with lepton non-universality in $B$-meson decays

Abstract

The anomalies in the $B$-meson sector, in particular $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$, are often interpreted as hints for physics beyond the Standard Model. To this end, leptoquarks or a heavy $Z^{\prime }$ represent the most popular SM extensions which can explain the observations. However, adding these fields by hand is not very satisfactory as it does not address the big questions like a possible embedding into a unified gauge theory. On the other hand, light leptoquarks within a unified framework are challenging due to additional constraints such as lepton flavor violation. The existing accounts typically deal with this issue by providing estimates on the relevant couplings. In this letter we consider a complete model based on the $SU(4{)}_{\mathrm{C}}\otimes SU(2{)}_{\mathrm{L}}\otimes U(1{)}_{\mathrm{R}}$ gauge symmetry, a subgroup of $SO(10)$, featuring both scalar and vector leptoquarks. We demonstrate that this setup has, in principle, all the potential to accommodate $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$ while respecting bounds from other sectors usually checked in this context. However, it turns out that $K_L\to e^{\pm }{\mu }^{\mp }$ severely constraints not only the vector but also the scalar leptoquarks and, consequently, also the room for any sizeable deviations of $R_{K^{(\ast )}}$ from 1. We briefly comment on the options for extending the model in order to conform this constraint. Moreover, we present a simple criterion for all-orders proton stability within this class of models.

arXiv comment9 pages, 7 figures, 2 tables

References in corpus (44)

• SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e+ e- colliders
• SARAH 4: A tool for (not only SUSY) model builders
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Evidence for an excess of B -> D(*) Tau Nu decays
• HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Measurement of the branching ratio of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to $\bar{B}\to D^{(\ast )}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• HiggsBounds-4: Improved Tests of Extended Higgs Sectors against Exclusion Bounds from LEP, the Tevatron and the LHC
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• HiggsBounds 2.0.0: Confronting Neutral and Charged Higgs Sector Predictions with Exclusion Bounds from LEP and the Tevatron
• Measurement of form-factor independent observables in the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• One Leptoquark to Rule Them All: A Minimal Explanation for $R_{D^{(\ast )}}$, $R_K$ and $(g-2{)}_{\mu }$
• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• From Superpotential to Model Files for FeynArts and CalcHep/CompHep
• Effective field theory approach to $b\to s\ell {\ell }^{(\prime )}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to D^{(\ast )}\tau \nu$ with third generation couplings
• Anomalies in $B$-decays and $U(2)$ flavour symmetry
• Vector leptoquark resolution of $R_K$ and $R_{D^{(\ast )}}$ puzzles
• A three-site gauge model for flavor hierarchies and flavor anomalies
• $B$ Meson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background
• Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models
• Comprehensive Bayesian Analysis of Rare (Semi)leptonic and Radiative B Decays
• Third Family Quark-Lepton Unification at the TeV Scale
• B-decay Anomalies in a Composite Leptoquark Model
• A Flavor Kit for BSM models
• Lepton universality violation and lepton flavor conservation in $B$-meson decays
• Status of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ anomaly after Moriond 2017
• Observation of B^0 \to D^{*-} τ^+ ν_τ decay at Belle
• Two-Loop Higgs mass calculations in supersymmetric models beyond the MSSM with SARAH and SPheno
• Bounding wide composite vector resonances at the LHC
• Observation of B+ -> Dbar*0 tau+ nu_tau and Evidence for B+ -> Dbar^0 tau+ nu_tau at Belle
• Topological Dark Matter
• B-decay anomalies in Pati-Salam SU(4)
• Quark-Lepton Unification and Rare Meson Decays
• Vector Leptoquarks and the 750 GeV Diphoton Resonance at the LHC
• Flavor Anomalies, the Diphoton Excess and a Dark Matter Candidate
• Low Scale Quark-Lepton Unification
• Seesaw Scale in the Minimal Renormalizable SO(10) Grand Unification
• The Minimal Quark-Lepton Symmetry Model and the Limit on Z'-mass
• Leptoquark patterns unifying neutrino masses, flavor anomalies, and the diphoton excess
• Neutrino Catalyzed Diphoton Excess
• Vector leptoquark mass limits and branching ratios of $K_L^0,B^0,B_s\to l_i^{+}{l}_j^{-}$ decays with account of fermion mixing in leptoquark currents
• Two-loop Higgs mass calculation from a diagrammatic approach
• An alternative SU(4) x SU(2)L x SU(2)R model

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• Revisiting the vector leptoquark explanation of the B-physics anomalies
• Left-Right SU(4) Vector Leptoquark Model for Flavor Anomalies
• Pati-Salam explanations of the B-meson anomalies
• Constraints on scalar leptoquarks from lepton and kaon physics
• Generic Loop Effects of New Scalars and Fermions in $b\to s{\ell }^{+}{\ell }^{-}$, $(g-2{)}_{\mu }$ and a Vector-like $4^{\mathrm{th}}$ Generation
• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• Addressing the ${\mathbf{R}}_{D^{(\ast )}}$ anomalies with an ${\mathbf{S}}_1$ leptoquark from $\mathbf{SO}(10)$ grand unification
• QCD Improved Matching for Semi-Leptonic B Decays with Leptoquarks
• Effective Theory Approach to New Physics with Flavour: General Framework and a Leptoquark Example
• Unified explanation of flavor anomalies, radiative neutrino mass and ANITA anomalous events in a vector leptoquark model
• GUT Physics in the era of the LHC
• Leptoquarks and Matter Unification: Flavor Anomalies and the Muon $g-2$
• Unified SU(4) theory for the $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$ anomalies
• A chiral SU(4) explanation of the $b\to s$ anomalies
• Top-philic heavy resonances in four-top final states and their EFT interpretation
• Global fit to $b\to c\tau \nu$ anomalies as of Spring 2024
• Collider phenomenology of a unified leptoquark model
• Gravitational Wave Signatures of Lepton Universality Violation
• Lepton Flavor Universality tests through angular observables of $\overline{B}\to D^{(\ast )}\ell \overline{\nu }$ decay modes
• Phenomenology of an extended IDM with loop-generated fermion mass hierarchies
• Lepton flavour violation in rare ${\Lambda }_b$ decays
• Constraints on scalar and vector leptoquarks from the LHC Higgs data
• All possible first signals of gauge leptoquark in quark-lepton unification and beyond
• Finite Naturalness and Quark-Lepton Unification
• Probing Quark-Lepton Unification with Leptoquark and Higgs Decays
• Chiral gauge leptoquark mass limits and branching ratios of $K_L^0,B^0,B_s\to l_i^{+}{l}_j^{-}$ decays with account of the general fermion mixing in leptoquark currents
• Two-Higgs-Doublet Model and Quark-Lepton Unification
• Perturbative unitarity constraints on generic Yukawa interactions
• Flavor Anomalies and Quark-Lepton Unification