A Model of Muon Anomalies

Abstract

The Standard Model (SM) is augmented with a $\mathrm{U}(1{)}_{B-3L_{\mu }}$ gauge symmetry spontaneously broken above the TeV scale when an SM-singlet scalar condenses. Scalar leptoquarks $S_{1(3)}=(\overline{3},1(3),{}^1{/}_3)$ charged under $\mathrm{U}(1{)}_{B-3L_{\mu }}$ mediate the intriguing effects observed in muon $(g-2)$, $R_{K^{(\ast )}}$ and $b\to s{\mu }^{+}{\mu }^{-}$, while generically evading all other phenomenological constraints. The fermionic sector is minimally extended with three right-handed neutrinos, and a successful type-I seesaw mechanism is realized. Charged lepton flavor violation is effectively suppressed, and proton decay - a common prediction of leptoquarks - is postponed to the dimension-6 effective Lagrangian. Unavoidable radiative corrections in the Higgs mass and muon Yukawa favor leptoquark masses interesting for collider searches. The parameters of the model are radiatively stable and can be evolved by the renormalization group to the Planck scale without inconsistencies. Alternative lepton-flavored gauge extensions of the SM, under which leptoquarks become muoquarks, are proposed for comparison.

arXiv comment11 pages, 4 figures. Version2: Updated after the g-2 release. Discussion on alternative models extended. References added

References in corpus (111)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Symmetries and Strings in Field Theory and Gravity
• Evidence for an excess of B -> D(*) Tau Nu decays
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Test of lepton universality with $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• 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
• Complete Tenth-Order QED Contribution to the Muon g-2
• Physics of leptoquarks in precision experiments and at particle colliders
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Measurement of form-factor independent observables in the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Observation of the rare $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay from the combined analysis of CMS and LHCb data
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Angular analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity
• More Model-Independent Analysis of b->s Processes
• One Leptoquark to Rule Them All: A Minimal Explanation for $R_{D^{(\ast )}}$, $R_K$ and $(g-2{)}_{\mu }$
• Measurement of the $\tau$ lepton polarization and $R(D^{\ast })$ in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$
• On the Standard Model predictions for $R_K$ and $R_{K^{\ast }}$
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Dressing L_mu - L_tau in Color
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Search for high-mass dilepton resonances using 139 fb${}^{-1}$ of $pp$ collision data collected at $\sqrt{s}=$13 TeV with the ATLAS detector
• 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
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Simultaneous Explanation of $R(D^{(\ast )})$ and $b\to s{\mu }^{+}{\mu }^{-}$: The Last Scalar Leptoquarks Standing
• Anomalies in $B$-decays and $U(2)$ flavour symmetry
• Measurement of the ratio of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ and $B^0\to D^{\ast -}{\mu }^{+}{\nu }_{\mu }$ branching fractions using three-prong $\tau$-lepton decays
• A three-site gauge model for flavor hierarchies and flavor anomalies
• Test of Lepton Flavor Universality by the measurement of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ branching fraction using three-prong $\tau$ decays
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• Confronting lepton flavor universality violation in B decays with high-$p_T$ tau lepton searches at LHC
• U(2) and Minimal Flavour Violation in Supersymmetry
• Lepton Flavor Violation in B Decays?
• $B$ Meson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to J/\psi {\tau }^{+}{\nu }_{\tau })$/$\mathcal{B}(B_c^{+}\to J/\psi {\mu }^{+}{\nu }_{\mu })$
• Gauge leptoquark as the origin of B-physics anomalies
• Closing the window on single leptoquark solutions to the $B$-physics anomalies
• Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models
• Measurement of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ branching fraction and effective lifetime and search for $B^0\to {\mu }^{+}{\mu }^{-}$ decays
• 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
• Wilson: a Python package for the running and matching of Wilson coefficients above and below the electroweak scale
• General Minimal Flavor Violation
• Muon Anomalous $g-2$ and Gauged $L_{\mu }-L_{\tau }$ Models
• Gauged L_mu - L_tau Symmetry at the Electroweak Scale
• High-$p_T$ dilepton tails and flavour physics
• Gauged $L_{\mu }-L_{\tau }$ with Large Muon Anomalous Magnetic Moment and the Bimaximal Mixing of Neutrinos
• Scalar leptoquarks from GUT to accommodate the $B$-physics anomalies
• Testing new physics with the electron g-2
• Third Family Quark-Lepton Unification at the TeV Scale
• The muon anomalous magnetic moment and a new light gauge boson
• Simultaneous Precision Spectroscopy of $pp$, ${}^7$Be, and $pep$ Solar Neutrinos with Borexino Phase-II
• A Global Likelihood for Precision Constraints and Flavour Anomalies
• Constraints on the two-pion contribution to hadronic vacuum polarization
• Predictions for Lepton Flavor Universality Violation in Rare B Decays in Models with Gauged $L_{\mu }-L_{\tau }$
• Lepton Flavor Non-Universality in B decays from Dynamical Yukawas
• Flavoured $B-L$ Local Symmetry and Anomalous Rare $B$ Decays
• Constraint on the branching ratio of B_c \to tau nu from LEP1 and consequences for R(D(*)) anomaly
• Left-Right SU(4) Vector Leptoquark Model for Flavor Anomalies
• Pati-Salam explanations of the B-meson anomalies
• Neutrino Tridents at DUNE
• Phenomenology of scalar leptoquarks
• Zeros of the inverted neutrino mass matrix
• Measurement of the CKM Matrix Element $|V_{cb}|$ from $B^0\to D^{\ast -}{\ell }^{+}{\nu }_{\ell }$ at Belle
• Composite Leptoquarks at the LHC
• 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
• QED Corrections in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ at the Double-Differential Level
• Search for pairs of scalar leptoquarks decaying into quarks and electrons or muons in $\sqrt{s}=13$ TeV pp collisions with the ATLAS detector
• Muon g-2 and LHC phenomenology in the $L_{\mu }-L_{\tau }$ gauge symmetric model
• Third-family quark-lepton unification with a fundamental composite Higgs
• $U(1{)}_{B_3-3L_{\mu }}$ gauge symmetry as a simple description of $b\to s$ anomalies
• Minimal Gauged U(1)${}_{L_{\alpha }-L_{\beta }}$ Models Driven into a Corner
• Predictions for the neutrino parameters in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model
• Vector Leptoquarks Beyond Tree Level
• Proton decay into charged leptons
• Vector Leptoquarks Beyond Tree Level III: Vector-like Fermions and Flavor-Changing Transitions
• Gauging the accidental symmetries of the Standard Model, and implications for the flavour anomalies
• Three loop gauge beta-function for the most general single gauge-coupling theory
• Inelastic extra $U(1)$ charged scalar dark matter
• Strong CP problem with low-energy emergent QCD: The 4321 case
• Predictions for the neutrino parameters in the minimal model extended by linear combination of U(1)${}_{L_e-L_{\mu }}$, U(1)${}_{L_{\mu }-L_{\tau }}$ and U(1)${}_{B-L}$ gauge symmetries
• $U(1{)}_{B_3-L_2}$ Explanation of the Neutral Current $B-$Anomalies
• Neutrino mass generation with large $SU(2{)}_L$ multiplets under local $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
• Connection Between the Neutrino Seesaw Mechanism and Properties of the Majorana Neutrino Mass Matrix
• Vector Leptoquarks Beyond Tree Level II: $\mathcal{O}({\alpha }_s)$ Corrections and Radial Modes
• Low scale seesaw models for low scale $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry
• Rank-One Flavor Violation and B-meson anomalies
• RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $\beta$-Functions

Cited by in corpus (46)

• $B$ Flavour Anomalies: 2021 Theoretical Status Report
• Muon $g-2$ and $B$-anomalies from Dark Matter
• Muonic Force Behind Flavor Anomalies
• Leptoquarks and Matter Unification: Flavor Anomalies and the Muon $g-2$
• Systematically Testing Singlet Models for $(g-2{)}_{\mu }$
• Constraining the CP structure of Higgs-fermion couplings with a global LHC fit, the electron EDM and baryogenesis
• Combined explanation of $W$-mass, muon $g-2$, $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$ anomalies in a singlet-triplet scalar leptoquark model
• Leptoquark Option for $B$-meson Anomalies and Leptonic Signatures
• Complete Lagrangian and Set of Feynman Rules for Scalar Leptoquarks
• Exploration at the high-energy frontier: ATLAS Run~2 searches investigating the exotic jungle beyond the Standard Model
• Adding Flavor to the SMEFT
• New Physics in $b\to s\mu \mu$: FCC-hh or a Muon Collider?
• Reflecting on chirality: CP-violating extensions of the single scalar-leptoquark solutions for the $(g-2{)}_{e,\mu }$ puzzles and their implications for lepton EDMs
• The Forward-Backward Asymmetry in $B\to D^{\ast }\ell \nu$: One more hint for Scalar Leptoquarks?
• High-energy cosmic neutrinos as a probe of the vector mediator scenario in light of the muon $g-2$ anomaly and Hubble tension
• Unified Explanation of the Anomalies in Semi-Leptonic $B$ decays and the $W$ Mass
• Studying the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies and $(g-2{)}_{\mu }$ in $R$-parity violating MSSM framework with the inverse seesaw mechanism
• On $(g-2{)}_{\mu }$ From Gauged $\mathrm{U}(1{)}_X$
• Search for an invisible $Z^{\prime }$ in a final state with two muons and missing energy at Belle II
• Search for a light muon-philic $Z^{\prime }$ with the NA64-$e$ experiment at CERN
• Towards excluding a light $Z^{\prime }$ explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• Combined explanations of $B$-physics anomalies, $(g-2{)}_{e,\mu }$ and neutrino masses by scalar leptoquarks
• Leptoflavorgenesis: baryon asymmetry of the Universe from lepton flavor violation
• Resonant leptoquark at NLO with POWHEG
• Flavour alignment of New Physics in light of the $(g-2{)}_{\mu }$ anomaly
• The Rumble in the Meson: a leptoquark versus a $Z^{\prime }$ to fit $b\to s{\mu }^{+}{\mu }^{-}$ anomalies including 2022 LHCb $R_{K^{(\ast )}}$ measurements
• Lepton flavour violation in rare ${\Lambda }_b$ decays
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Search for a ${\mu }^{+}{\mu }^{-}$ resonance in four-muon final states at Belle II
• Search for a ${\tau }^{+}{\tau }^{-}$ resonance in $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}{\tau }^{+}{\tau }^{-}$ events with the Belle II experiment
• Search for leptoquarks decaying into the b$\tau$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Direct production of SM-singlet scalars at the muon collider
• Flatland: abelian extensions of the Standard Model with semi-simple completions
• Revisiting the Scalar Leptoquark ($S_1$) Model with the Updated Leptonic Constraints
• Search for leptoquark pair production decaying into $t{e}^{-}\bar{t}{e}^{+}$ or $t{\mu }^{-}\bar{t}{\mu }^{+}$ in multi-lepton final states in $pp$ collisions at 13 TeV with the ATLAS detector
• Discriminating 1D new physics solutions in $b\to s\ell \ell$ decays
• Searching for exclusive leptoquarks with the Nambu-Jona-Lasinio composite model at the LHC and HL-LHC
• Perturbative unitarity constraints on generic Yukawa interactions
• A $\nu$ Supersymmetric Anomaly-free Atlas
• Intergenerational gauged $B-L$ model and its implication to muon $g-2$ anomaly and thermal dark matter
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Leptoquarks with Exactly Stable Protons