A chiral SU(4) explanation of the $b\to s$ anomalies

Abstract

We propose a variant of the Pati-Salam model, with gauge group $SU(4{)}_C\times SU(2{)}_L\times U(1{)}_{Y^{\prime }}$, in which the chiral left-handed quarks and leptons are unified into a $\underline{4}$ of $SU(4{)}_C$, while the right-handed quarks and leptons have quite a distinct treatment. The $SU(4{)}_C$ leptoquark gauge bosons can explain the measured deviation of lepton flavour universality in the rare decays: $\bar{B}\to {\bar{K}}^{(\ast )}\bar{\ell }\ell ,\ell =\mu ,e$ (taken as a hint of new physics). The model satisfies the relevant experimental constraints and makes predictions for the important $B$ and $\tau$ decays. These predictions will be tested at the LHCb and Belle II experiments when increased statistics become available.

10 pages, 4 figures; references added, minor changes to match version published in PRD

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Cited by in corpus (27)

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• Left-Right SU(4) Vector Leptoquark Model for Flavor Anomalies
• $B$ Flavour Anomalies: 2021 Theoretical Status Report
• Combined explanations of $(g-2{)}_{\mu }$, $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ anomalies in a two-loop radiative neutrino mass model
• $R_2$ as a single leptoquark solution to $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$
• Addressing the ${\mathbf{R}}_{D^{(\ast )}}$ anomalies with an ${\mathbf{S}}_1$ leptoquark from $\mathbf{SO}(10)$ grand unification
• A Common Origin of Neutrino Masses and $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$ Anomalies
• Leptoquarks and Matter Unification: Flavor Anomalies and the Muon $g-2$
• Confronting the vector leptoquark hypothesis with new low- and high-energy data
• Unified SU(4) theory for the $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$ anomalies
• $R_K$ and $R_{K^{\ast }}$ in an Aligned 2HDM with Right-Handed Neutrinos
• Global fit to $b\to c\tau \nu$ anomalies as of Spring 2024
• A nonunitary interpretation for a single vector leptoquark combined explanation to the $B$-decay anomalies
• Boosting vector leptoquark searches with boosted tops
• Collider phenomenology of a unified leptoquark model
• Gravitational Wave Signatures of Lepton Universality Violation
• Asymmetry in flavour changing electromagnetic transitions of vector-like quarks
• $CP$ asymmetries in the rare top decays $t\to c\gamma$ and $t\to cg$
• Marriage between neutrino mass and flavor anomalies
• Constraints on scalar and vector leptoquarks from the LHC Higgs data
• Lowering the scale of Pati-Salam breaking through seesaw mixing
• The fate of $V_1$ vector leptoquarks: the impact of future flavour data
• All possible first signals of gauge leptoquark in quark-lepton unification and beyond
• Vector leptoquark contributions to lepton dipole moments
• 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
• Dimension-5 baryon-number violation in low-scale Pati-Salam
• The $B$ Anomalies, the $U_1$ Leptoquark and Dark Matter