Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles

Abstract

At present, there are several hints of lepton flavor non-universality. The LHCb Collaboration has measured $R_K\equiv \mathcal{B}(B^{+}\to K^{+}{\mu }^{+}{\mu }^{-})/\mathcal{B}(B^{+}\to K^{+}{e}^{+}{e}^{-})$, and the BaBar Collaboration has measured $R(D^{(\ast )})\equiv \mathcal{B}(\bar{B}\to D^{(\ast )+}{\tau }^{-}{\bar{\nu }}_{\tau })/\mathcal{B}(\bar{B}\to D^{(\ast )+}{\ell }^{-}{\bar{\nu }}_{\ell })$ ($\ell =e,\mu$). In all cases, the experimental results differ from the standard model predictions by 2-3$\sigma$. Recently, an explanation of the $R_K$ puzzle was proposed in which new physics (NP) generates a neutral-current operator involving only third-generation particles. Now, assuming the scale of NP is much larger than the weak scale, this NP operator must be made invariant under the full $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y$ gauge group. In this Letter, we note that, when this is done, a new charged-current operator can appear, and this can explain the $R(D^{(\ast )})$ puzzle. A more precise measurement of the double ratio $R(D)/R(D^{\ast })$ can rule out this model.

11 pages, text and citations added, version published in Phys. Lett. B

References in corpus (20)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• On the B to D* tau nu Sensitivity to New Physics
• Angular Distributions of B -> K ll Decays
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• Implications of lepton flavor universality violations in B decays
• Lepton Flavor Violation in B Decays?
• Physics at Super B Factory
• New physics in the weak interaction of $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• $SU(2)\times U(1)$ gauge invariance and the shape of new physics in rare $B$ decays
• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• Diagnosing lepton-nonuniversality in $b\to s\ell \ell$
• The Azimuthal $B\to D^{\ast }{\tau }^{-}\overline{{\nu }_{\tau }}$ Angular Distribution with Tensor Operators
• Probing New Physics with $q^2$ distributions in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Resonances gone topsy turvy - the charm of QCD or new physics in $b\to s{\ell }^{+}{\ell }^{-}$?
• Explaining the Lepton Non-universality at the LHCb and CMS from a Unified Framework
• The "Top Priority" at the LHC
• B decay anomalies in an effective theory
• Complete Michel Parameter Analysis of inclusive semileptonic b \to c transition
• Testing the left-handedness of the b \to c transition

Cited by in corpus (59)

• B-physics anomalies: a guide to combined explanations
• Test of lepton universality in beauty-quark decays
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Gauge leptoquark as the origin of B-physics anomalies
• The lifetime of the $B_c^{-}$ meson and the anomalies in $B\to D^{(\ast )}\tau \nu$
• Leptoquark model to explain the $B$-physics anomalies, $R_K$ and $R_D$
• B-decay Anomalies in a Composite Leptoquark Model
• Family non-universal Z' models with protected flavor-changing interactions
• Simultaneous Explanation of the $R_K$ and $R_{D^{(\ast )}}$ Puzzles: a Model Analysis
• Leptoquark Flavor Patterns & B Decay Anomalies
• Reading the footprints of the B-meson flavor anomalies
• Phenomenology of an $SU(2)\times SU(2)\times U(1)$ model with lepton-flavour non-universality
• New Physics effect on $B_c\to J/\psi \tau \bar{\nu }$ in relation to the $R_{D^{(\ast )}}$ anomaly
• High-pT Signatures in Vector-Leptoquark Models
• Explaining the $R_K$ and $R_{D^{(\ast )}}$ anomalies with vector leptoquarks
• With or without U(2)? Probing non-standard flavor and helicity structures in semileptonic B decays
• The role of the $S_3$ GUT leptoquark in flavor universality and collider searches
• ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ Decay in the Standard Model and with New Physics
• $B$ Flavour Anomalies: 2021 Theoretical Status Report
• Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$
• Minimal unified resolution to $R_{K^{(\ast )}}$ and $R(D^{(\ast )})$ anomalies with lepton mixing
• Semitauonic $b$-hadron decays: A lepton flavor universality laboratory
• Neutrino mixing and $R_K$ anomaly in $U(1{)}_X$ models: a bottom-up approach
• Probing Lepton Flavour Universality with $K\to \pi \nu \bar{\nu }$ decays
• GUT Physics in the era of the LHC
• ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ decay in scalar and vector leptoquark scenarios
• Anomalies in Particle Physics
• Time dependence in $B\to V\ell \ell$ decays
• Leptoquark Option for $B$-meson Anomalies and Leptonic Signatures
• Reconciling dark matter, $R_{K^{(\ast )}}$ anomalies and $(g-2{)}_{\mu }$ in an $L_{\mu }-L_{\tau }$ scenario
• Phenomenology of $b\to c\tau \bar{\nu }$ decays in a scalar leptoquark model
• Review of Semileptonic $B$ Anomalies
• A Measurable Angular Distribution for $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$ Decays
• Invoking Chiral Vector Leptoquark to explain LFU violation in B Decays
• $R_K$ anomalies and simplified limits on $Z^{\prime }$ models at the LHC
• Indirect constraints on lepton-flavour-violating quarkonium decays
• Bs to mu mu gamma from Bs to mu mu
• Search for the lepton-flavour violating decays $B^0\to K^{\ast 0}{\tau }^{\pm }{\mu }^{\mp }$
• Consequences of $b\to s{\mu }^{+}{\mu }^{-}$ anomalies on $B\to K^{(\ast )}\nu \bar{\nu }$, $B_s\to (\eta ,{\eta }^{\prime })\nu \bar{\nu }$ and $B_s\to \varphi \nu \bar{\nu }$ decay observables
• Flavor Physics at the CEPC: a General Perspective
• Renormalization group improved implications of semileptonic operators in SMEFT
• The LFU Ratio $R_{\pi }$ in the Standard Model and Beyond
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• Implications for the $\Delta A_{FB}$ anomaly in ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}\bar{\nu }$ using a new Monte Carlo Event Generator
• A Light shed on Lepton Flavor Universality in B decays
• Extra gauge bosons and lepton flavor universality violation in ${\rm Y}$ and $B$ meson decays
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables
• Anomalies in B mesons decays: Present status and future collider prospects
• Assessing Lepton Flavor Universality Violations in Semileptonic Decays
• TeV-scale vector leptoquark from Pati-Salam unification with vectorlike families
• Reappraisal of the minimal flavoured $Z^{\prime }$ scenario
• Explaining the $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ Anomalies in the $B-L$ Supersymmetric Standard Model with Inverse Seesaw
• $\frac{|V_{ub}|}{|V_{cb}|}$ and Quest for New Physics
• The $B$ Anomalies, the $U_1$ Leptoquark and Dark Matter
• New Physics Hints from Flavour
• Neutrino Nonstandard Interactions and Lepton Flavor Universality violation at SND@LHC via charm production
• Exploring the sensitivity of hadron colliders to non-universality in heavy neutral currents
• Semi-leptonic Decay of Lambda-b in the Standard Model and with New Physics