Anomaly free Froggatt-Nielsen models of flavor

Abstract

We introduce two anomaly free versions of Froggatt-Nielsen (FN) models, based on either $G_{\mathrm{FN}}=U(1{)}^3$ or $G_{\mathrm{FN}}=U(1)$ horizontal symmetries, that generate the SM quark and lepton flavor structures. The structure of these "inverted" FN models is motivated by the clockwork mechanism: the chiral fields, singlets under $G_{\mathrm{FN}}$, are supplemented by chains of vector-like fermions charged under $G_{\mathrm{FN}}$. Unlike the traditional FN models the hierarchy of quark and lepton masses is obtained as an expansion in $M/⟨\varphi ⟩$, where $M$ is the typical vector-like fermion mass, and $⟨\varphi ⟩$ the flavon vacuum expectation value. The models can be searched for through deviations in flavor observables such as $K-\bar{K}$ mixing, $\mu \to e$ conversion, etc., where the present bounds restrict the masses of vector-like fermions to be above $\mathcal{O}(10^7\mathrm{GeV})$. If $G_{\mathrm{FN}}$ is gauged, the models can also be probed by searching for the flavorful $Z^{\prime }$ gauge bosons. In principle, the $Z^{\prime }$s can be very light, and can be searched for using precision flavor, astrophysics, and beam dump experiments.

arXiv comment50 pages, 20 figures, discussion of rare meson decay bounds amended, Figs. 13, 14 and 18 updated

References in corpus (46)

• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Muon Decay and Physics Beyond the Standard Model
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Model-independent constraints on Delta F=2 operators and the scale of New Physics
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Search for Lepton Flavor Violating Tau Decays into Three Leptons with 719 Million Produced Tau+Tau- Pairs
• Fermion masses and mixing angles from gauge symmetries
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• Hunting All the Hidden Photons
• Serendipity in dark photon searches
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• New Exclusion Limits on Dark Gauge Forces from Proton Bremsstrahlung in Beam-Dump Data
• General formulae for f1 --> f2 gamma
• Yukawa Textures and Anomalies
• 2000 CKM-Triangle Analysis A Critical Review with Updated Experimental Inputs and Theoretical Parameters
• Virtual Photons in Chiral Perturbation Theory
• Search for light massive gauge bosons as an explanation of the $(g-2{)}_{\mu }$ anomaly at MAMI
• On epsilon_K beyond lowest order in the Operator Product Expansion
• A Clockwork Theory
• Yukawa matrices from a spontaneously broken abelian symmetry
• Probing new light force-mediators by isotope shift spectroscopy
• Yukawa textures with an anomalous horizontal abelian symmetry
• Photon Events with Missing Energy in e+e- Collisions at sqrt{s} = 130 to 209 GeV
• Atmospheric and Solar Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Limit on the production of a low-mass vector boson in ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to \mathrm{U}\gamma$, $\mathrm{U}\to {\mathrm{e}}^{+}{\mathrm{e}}^{-}$ with the KLOE experiment
• Models of Fermion Mass Matrices Based on a Flavor- and Generation-Dependent U(1) Gauge Symmetry
• Abelian Flavour Symmetries in Supersymmetric Models
• Neutrino-Electron Scattering: General Constraints on Z' and Dark Photon Models
• Spin-dependent $\mu \to e$ conversion
• Light Weakly Coupled Axial Forces: Models, Constraints, and Projections
• Lepton flavor violation with light vector bosons
• The Mu2e Experiment
• Anomalous Flavor U(1)_X for Everything
• General solution to the U(1) anomaly equations
• Precision study of the $\eta \to {\mu }^{+}{\mu }^{-}\gamma$ and $\omega \to {\mu }^{+}{\mu }^{-}{\pi }^0$ electromagnetic transition form-factors and of the $\rho \to {\mu }^{+}{\mu }^{-}$ line shape in NA60
• Probing low-mass vector bosons with parity nonconservation and nuclear anapole moment measurements in atoms and molecules
• Anomaly-Free Models for Flavour Anomalies
• A clockwork solution to the flavor puzzle
• Proton Hexality from an Anomalous Flavor U(1) and Neutrino Masses - Linking to the String Scale
• Neutrino masses and mixings from an SMG \times U(1)^2 model
• Lepton non-universality in $B$ decays and fermion mass structure
• Natural Fermion Hierarchies from Random Yukawa Couplings

Cited by in corpus (26)

• Looking forward to Lepton-flavor-violating ALPs
• The Standard Model effective field theory at work
• $Z^{\prime }$ models with less-minimal flavour violation
• Effective Theory Approach to New Physics with Flavour: General Framework and a Leptoquark Example
• Global Analysis of Leptophilic Z' Bosons
• Muonic Force Behind Flavor Anomalies
• The symmetry approach to quark and lepton masses and mixing
• Constraining flavour patterns of scalar leptoquarks in the effective field theory
• Chiral Froggatt-Nielsen models, gauge anomalies and flavourful axions
• Chiral Abelian gauge theories with few fermions
• Radiatively generated fermion mass hierarchy from flavour non-universal gauge symmetries
• Flavor Hierarchies from Clockwork in SO(10) GUT
• A low-scale flavon model with a $Z_N$ symmetry
• Searching for new physics at $\mu \to e$ facilities with ${\mu }^{+}$ and ${\pi }^{+}$ decays at rest
• Three Exceptions to the Grossman-Nir Bound
• Ising Machines for Diophantine Problems in Physics
• Gauged $SU(3{)}_F$ and loop induced quark and lepton masses
• Gravitational waves from cosmic strings in Froggatt-Nielsen flavour models
• Loop-induced masses for the first two generations with optimum flavour violation
• Froggatt-Nielsen Meets the SMEFT
• A Supersymmetric Flavor Clockwork
• Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D
• Testing the Froggatt-Nielsen Mechanism with Lepton Flavor and Number Violating Processes
• Direct Detection of Ultralight Dark Matter via Charged Lepton Flavor Violation
• New Physics Searches at Kaon and Hyperon Factories
• Flavor hierarchies with nonminimal irreducible representations