Muon anomalies and the $SU(5)$ Yukawa relations

Abstract

We show that, within the framework of $SU(5)$ Grand Unified Theories (GUTs), multiple vector-like families at the GUT scale which transform under a gauged $U(1{)}^{\prime }$ (under which the three chiral families are neutral) can result in a single vector-like family at low energies which can induce non-universal and flavourful $Z^{\prime }$ couplings, which can account for the B physics anomalies in $R_{K^{(\ast )}}$. In such theories, we show that the same muon couplings which explain $R_{K^{(\ast )}}$ also correct the Yukawa relation $Y_e=Y_d^T$ in the muon sector without the need for higher Higgs representations. To illustrate the mechanism, we construct a concrete a model based on $SU(5)\times A_4\times Z_3\times Z_7$ with two vector-like families at the GUT scale, and two right-handed neutrinos, leading to a successful fit to quark and lepton (including neutrino) masses, mixing angles and CP phases, where the constraints from lepton flavour violation require $Y_e$ to be diagonal.

38 pages, 3 figures. Published version

References in corpus (78)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Updated Values of Running Quark and Lepton Masses
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Lepton Flavor Violation in B Decays?
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Unification and Fermion Mass Structure
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• S_4 Flavored CP Symmetry for Neutrinos
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• The 3-3-1 model with S_4 flavor symmetry
• An A4 flavor model for quarks and leptons in warped geometry
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• Lepton Mixing Predictions including Majorana Phases from $\Delta (6n^2)$ Flavour Symmetry and Generalised CP
• Neutrino masses and mixing from S4 flavor twisting
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Higgs $\to$ $\mu \tau$ as an indication for $S_4$ flavor symmetry
• Flavourful $Z^{\prime }$ portal for vector-like neutrino Dark Matter and $R_{K^{(\ast )}}$
• An SO(10)XS4 Model of Quark-Lepton Complementarity
• A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)
• A "Vector-like chiral" fourth family to explain muon anomalies
• Flavourful $Z^{\prime }$ models for $R_{K^{(\ast )}}$
• The $S_3$ flavour symmetry: Neutrino masses and mixings
• Generalized Bottom-Tau unification, neutrino oscillations and dark matter: predictions from a lepton quarticity flavor approach
• Generalised CP and $\Delta (96)$ Family Symmetry
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Relating quarks and leptons with the T7 flavour group
• Scotogenic $Z_2$ or $U(1{)}_D$ Model of Neutrino Mass with $\Delta (27)$ Symmetry
• T(13) Flavor Symmetry and Decaying Dark Matter
• Lepton masses and mixing in $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ models with a $S_3$ flavor symmetry
• An SU(5) x A5 Golden Ratio Flavour Model
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry
• Flavor Violation in Supersymmetric Q_6 Model
• Variations on the Supersymmetric Q6 Model of Flavor
• Accidental Peccei-Quinn Symmetry from Discrete Flavour Symmetry and Pati-Salam
• Fermion Masses and Mixings and Dark Matter Constraints in a Model with Radiative Seesaw Mechanism
• The first $\Delta (27)$ flavor 3-3-1 model with low scale seesaw mechanism
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• $R_K$ and $R_{K^{\ast }}$ in an Aligned 2HDM with Right-Handed Neutrinos
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• Muon g-2 and Dark Matter suggest Non-Universal Gaugino Masses: $\mathbf{SU}(5)\times {\mathbf{A}}_4$ case study at the LHC
• A Unified Model of Quarks and Leptons with a Universal Texture Zero
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
• Neutrino predictions from a left-right symmetric flavored extension of the standard model
• Fermion masses and mixing in $\Delta (27)$ flavour model
• A to Z of Flavour with Pati-Salam
• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
• Leptogenesis in an SU(5) x A5 Golden Ratio Flavour Model
• Littlest Inverse Seesaw Model
• Viable low-scale model with Universal and Inverse Seesaw Mechanisms
• Neutrino Mixing With Non-Zero ${\theta }_{13}$ In Zee-Babu Model
• Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry
• Lepton masses and mixings in a $T^{\prime }$ flavoured 3-3-1 model with type I and II seesaw mechanisms
• Non-minimal $331$ model for Lepton Flavour Universality Violation in $b\to s\ell \ell$ decays
• Delta(54) flavor phenomenology and strings
• Quark mixing from Delta(6N^2) family symmetry
• Littlest Seesaw model from S4 x U(1)
• Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model
• Non-universal $Z^{\prime }$ from Fluxed GUTs
• Phenomenology of an extended IDM with loop-generated fermion mass hierarchies
• Non-universal Z' from SO(10) GUTs with vector-like family and the origin of neutrino masses
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• $\mathbf{SO}(10)\times {\mathbf{S}}_4$ Grand Unified Theory of Flavour and Leptogenesis
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Controlled flavor violation in the MSSM from a unified $\Delta (27)$ flavor symmetry
• A model of quarks with Delta (6N^2) family symmetry
• Neutrino masses, mixing, and leptogenesis in an S3 model
• Non-minimal flavour violation in $A_4\times SU(5)$ SUSY GUTs with smuon assisted dark matter

Cited by in corpus (10)

• Is it possible to explain the muon and electron $g-2$ in a $Z^{\prime }$ model?
• $R_K$ and $R_{K^{\ast }}$ in an Aligned 2HDM with Right-Handed Neutrinos
• Fermion mass hierarchies from vector-like families with an extended 2HDM and a possible explanation for the electron and muon anomalous magnetic moments
• A 3-3-1 model with low scale seesaw mechanisms
• Littlest Inverse Seesaw Model
• Viable low-scale model with Universal and Inverse Seesaw Mechanisms
• Origin of Yukawa couplings for Higgs and leptoquarks
• Low scale type I seesaw model for lepton masses and mixings
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw