Anomaly-Free Sets of Fermions

Abstract

We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomaly-free. Applying these techniques to extensions of the Standard Model, we find anomaly-free models that have arbitrary quark and lepton charges under an additional U(1) gauge group.

21 (+1) pages

References in corpus (8)

• Z-prime Gauge Bosons at the Tevatron
• The minimal U(1)' extension of the MSSM
• Neutrino Masses in Supersymmetric SU(3)_C x SU(2)_L x U(1)_Y x U(1)' Models
• Update on Fermion Mass Models with an Anomalous Horizontal U(1) Symmetry
• Models of Neutrino Mass with a Low Cutoff Scale
• Majorana Neutrino Masses from Anomalous U(1) Symmetries
• The Origin of a Peculiar Extra U(1)
• Sterile Neutrinos and Global Symmetries

Cited by in corpus (63)

• The Physics of Heavy Z' Gauge Bosons
• A White Paper on keV Sterile Neutrino Dark Matter
• Spin-Dependent Macroscopic Forces from New Particle Exchange
• New constraints on light vectors coupled to anomalous currents
• Dark forces coupled to non-conserved currents
• Coupling--mass mapping of di-jet peak searches
• Flavor-specific scalar mediators
• Dark Discrete Gauge Symmetries
• An Anomaly-free Atlas: charting the space of flavour-dependent gauged $U(1)$ extensions of the Standard Model
• Anomaly-Free Dark Matter Models are not so Simple
• Axial Vector $Z^{\prime }$ and Anomaly Cancellation
• Light Z' Bosons at the Tevatron
• TeV-Scale Seesaw with Loop-Induced Dirac Mass Term and Dark Matter from U(1)_{B-L} Gauge Symmetry Breaking
• $Z^{\prime }$s in neutrino scattering at DUNE
• General solution to the U(1) anomaly equations
• Gauge Trimming of Neutrino Masses
• Exotic Charges, Multicomponent Dark Matter and Light Sterile Neutrinos
• Z' Mediated Dark Matter Models for the Galactic Center Gamma-Ray Excess
• The Seesaw Mechanism in Quark-Lepton Complementarity
• Dark Matter and Neutrino Mass from the Smallest Non-Abelian Chiral Dark Sector
• Minimal radiative Dirac neutrino mass models
• Surprises from Complete Vector Portal Theories: New Insights into the Dark Sector and its Interplay with Higgs Physics
• Dark matter and U(1)' symmetry for the right-handed neutrinos
• $Z^{\prime }$ Mediated WIMPs: Dead, Dying, or Soon to be Detected?
• Self-interacting Dark Radiation
• Creating the Fermion Mass Hierarchies with Multiple Higgs Bosons
• Number-Theory Dark Matter
• Systematic U(1)_{B-L} Extensions of Loop-Induced Neutrino Mass Models with Dark Matter
• Two Loop Neutrino Model with Dark Matter and Leptogenesis
• Classification of anomaly-free 2HDMs with a gauged U(1)' symmetry
• Composite Dark Matter from Strongly-Interacting Chiral Dynamics
• Chiral Abelian gauge theories with few fermions
• Natural Seesaw and Leptogenesis from Hybrid of High-Scale Type I and TeV-Scale Inverse
• Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5)
• Anomaly-free Abelian gauge symmetries with Dirac scotogenic models
• Anomaly-free $U(1{)}^m$ extensions of the Standard Model
• Vector-like quarks with non-renormalizable interactions
• Scotogenic neutrino masses with gauged matter parity and gauge coupling unification
• Imperfect Mirrors of the Standard Model
• High-quality axions in a class of chiral $U(1)$ gauge theories
• Revisiting the Number-Theory Dark Matter Scenario and the Weak Gravity Conjecture
• Ising Machines for Diophantine Problems in Physics
• Signals of a New Gauge Boson from IceCube and Muon $g-2$
• Hypercharge Quantisation and Fermat's Last Theorem
• Sensitivity to light weakly-coupled new physics at the precision frontier
• Light Mediators in Anomaly Free $U(1{)}_X$ Models I - Theoretical Framework
• Simple Theory of Chiral Fermion Dark Matter
• Anomaly-free chiral $U(1{)}_D$ and its scotogenic implication
• Minimal anomaly-free chiral fermion sets and gauge coupling unification
• Tree level Majorana neutrino mass from Type-1 $\times$ Type-2 Seesaw mechanism with Dark Matter
• The Elusive Muonic WIMP
• Resurgence of $Z^{\prime }$ from the single electron-muon event at ATLAS
• Holomorphic selection rules, the origin of the mu term, and thermal inflation
• Anomaly-free 2HDMs with a gauged abelian symmetry and two generations of right-handed neutrinos
• Chiral dark matter and radiative neutrino masses from gauged U(1) symmetry
• Systematically Searching for New Resonances at the Energy Frontier using Topological Models
• B meson decay anomaly with a non-universal U(1)' extension
• Astrophysical aspects of milli-charged dark matter in a Higgs-Stueckelberg model
• Extra $Z$ bosons and low-energy tests of unification
• Anomalous $U(1)$ extension of the Standard Model
• Notes on anomalies, elliptic curves and the BS-D conjecture
• How common are grand unified theories?
• Characterizing Dark Bosons at Chiral Belle