Number of Fermion Generations Derived from Anomaly Cancellation

Abstract

We prove that global anomaly cancellation requires more than one generation of quarks and leptons, provided that the standard model fields propagate in two universal extra dimensions. Furthermore, if the fermions of different generations have the same gauge charges and chiralities, then global anomaly cancellation implies that there must be three generations.

10 pages. Version to appear in Phys. Rev. Lett.; a few clarifications and references added; two statements corrected on page 6 regarding supersymmetry and four extra dimensions

References in corpus (1)

• Bounds on Universal Extra Dimensions

Cited by in corpus (127)

• Is the Lightest Kaluza-Klein Particle a Viable Dark Matter Candidate?
• Radiative Corrections to Kaluza-Klein Masses
• Dark Matter and Collider Phenomenology of Universal Extra Dimensions
• Bosonic Supersymmetry? Getting Fooled at the LHC
• Discrimination of Supersymmetry and Universal Extra Dimensions at Hadron Colliders
• Universal Extra Dimensions and the Higgs Boson Mass
• Precise Calculation of the Relic Density of Kaluza-Klein Dark Matter in Universal Extra Dimensions
• The Abundance of Kaluza-Klein Dark Matter with Coannihilation
• Proton Stability in Six Dimensions
• Physics searches at the LHC
• Resonances from Two Universal Extra Dimensions
• TASI Lectures on Extra Dimensions and Branes
• Universal Extra Dimensions and the Muon Magnetic Moment
• Contrasting Supersymmetry and Universal Extra Dimensions at the CLIC Multi-TeV e+e- Collider
• Chiral Compactification on a Square
• Probing Kaluza-Klein Dark Matter with Neutrino Telescopes
• Precision electroweak constraints on Universal Extra Dimensions revisited
• An Introduction to Extra Dimensions
• Neutrino mass, proton decay and dark matter in TeV scale universal extra dimension models
• Standard 4d gravity on a brane in six dimensional flux compactifications
• Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra
• Six-Dimensional Gauge Theory on the Chiral Square
• Leptons and photons at the LHC: cascades through spinless adjoints
• The WIMP Forest: Indirect Detection of a Chiral Square
• Neutrinos Vis-a-vis the Six-Dimensional Standard Model
• n-nbar Oscillations in Models with Large Extra Dimensions
• Bulk and brane anomalies in six dimensions
• Minimal Universal Extra Dimensions in CalcHEP/CompHEP
• Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and Leptons
• Radiative Effects on the Chiral Square
• E6 inspired SUSY models with exact custodial symmetry
• Localized anomalies in orbifold gauge theories
• Phenomenology of Universal Extra Dimensions with Bulk-Masses and Brane-Localized Terms
• Pseudo-Dirac Bino Dark Matter
• Testing Minimal Universal Extra Dimensions Using Higgs Boson Searches at the LHC
• Universal extra dimensions after Higgs discovery
• Universal Extra Dimensions at the e-e- Colliders
• The Phenomenology of Universal Extra Dimensions at Hadron Colliders
• The Radionactive Universe
• Two universal extra dimensions and spinless photons at the ILC
• Living on the edge in a spacetime with multiple warping
• A bound on Universal Extra Dimension Models from up to 2fb^{-1} of LHC Data at 7TeV
• Anomalies and Fermion Content of Grand Unified Theories in Extra Dimensions
• Boosted black string bombs
• Search for the minimal universal extra dimension model at the LHC with $\sqrt{s}$=7 TeV
• Radion Cosmology in Theories with Universal Extra Dimensions
• The Universal Extra Dimensional Model with $S^2/Z_2$ extra-space
• Universal Extra Dimensions on Real Projective Plane
• Cosmological Evolution of Homogeneous Universal Extra Dimensions
• Less suppressed mu-e-gamma and tau-mu-gamma loop amplitudes and extra dimension theories
• Discovering Minimal Universal Extra Dimensions (MUED) at the LHC
• Isolated Minkowski vacua, and stability analysis for an extended brane in the rugby ball
• 6D Higgsless Standard Model
• Anomaly-Free Brane Worlds in Seven Dimensions
• Effects of Gauge Interactions on Fermion Masses in Models with Fermion Wavefunctions Separated in Higher Dimensions
• TASI 2004 Lectures on the Phenomenology of Extra Dimensions
• Neutrinos from Kaluza-Klein dark matter in the Sun
• Left-right symmetry in 5D and neutrino mass in TeV scale gravity models
• Bounds on Universal Extra Dimension from LHC Run I and II data
• Non-Anomalous Discrete R-symmetry Decrees Three Generations
• Phenomenology of spinless adjoints in two Universal Extra Dimensions
• Productions of second Kaluza-Klein gauge bosons in the minimal universal extra dimension model at LHC
• Anomaly Cancellation in Seven-Dimensional Supergravity with a Boundary
• Omega vs. pi, and 6d anomaly cancellation
• Bulk gauge and matter fields in nested warping: II. Symmetry Breaking and phenomenological consequences
• Extra Dimensions at the Weak Scale and Deviations from Newtonian Gravity
• Extra-dimensional relaxation of the upper limit of the lightest supersymmetric neutral Higgs mass
• Exploring two Universal Extra Dimensions at the CERN LHC
• Probing two Universal Extra Dimensions at International Linear Collider
• CP Violation due to Compactification
• Anomalies on Six Dimensional Orbifolds
• Orbifold Family Unification on 6 Dimensions
• Effects of quark family nonuniversality in SU(3)_c X SU(4)_L X U(1)_x models
• Flavordynamics with Conformal Matter and Gauge Theories on Compact Hyperbolic Manifolds in Extra Dimensions
• Topcolor breaking through boundary conditions
• A Review on Non-Minimal Universal Extra Dimensions
• Heavy Higgs at Tevatron and LHC in Universal Extra Dimension Models
• Gauged D=7 Supergravity on the S**1/Z_2 Orbifold
• Why three generations?
• The Little Hierarchy in Universal Extra Dimensions
• Status Report on Universal Extra Dimensions After LHC8
• Yukawa Hierarchies From Extra Dimensions With Small FCNC
• FCNC Top Quark Decays in Extra Dimensions
• Higgs Production via Gluon Fusion in a Six Dimensional Universal Extra Dimension Model on S^2/Z_2
• Mixed Dark Matter in Universal Extra Dimension Models with TeV Scale $W_R$ and $Z^{\prime }$
• Axion and neutrino physics from anomaly cancellation
• Cancellation of Global Anomalies in Spontaneously Broken Gauge Theories
• Phenomenology of a three-family model with gauge symmetry SU(3)_c X SU(4)_L X U(1)_X
• Phenomenology of Universal Extra Dimensions
• Higgs production and decay processes via loop diagrams in various 6D Universal Extra Dimension Models at LHC
• Stabilization of moduli in spacetime with nested warping and the UED
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Probing two Universal Extra Dimension model with leptons and photons at the LHC and ILC
• Direct bound on the minimal Universal Extra Dimension model from the $t\bar{t}$ resonance search at the Tevatron
• Signals of Two Universal Extra Dimensions at the LHC
• Evolution of Yukawa couplings and quark flavour mixings in 2UED models
• A Closer Look at the Elementary Fermions
• Orbifold family unification using vectorlike representation on six dimensions
• Warping the Universal Extra Dimensions
• Minimal and non-minimal Universal Extra Dimension models in the light of LHC data at 13 TeV
• Gauge field and brane-localized kinetic terms on the chiral square
• Universal Extra Dimension models with gravity mediated decays after LHC Run II data
• Constraints on Universal Extra Dimension models with gravity mediated decays from ATLAS diphoton search
• Dark matter and localised fermions from spherical orbifolds?
• Seesaw mechanism in magnetic compactifications
• The second Kaluza-Klein neutral Higgs bosons in the minimal Universal Extra Dimension model
• Rationalizing right-handed neutrinos
• Fat brane, dark matter and localized kinetic terms in six dimensions
• Notes on sphere-based universal extra dimensions
• Bounds on models with one latticized extra dimension
• Decay properties of a class of doubly charged Higgs bosons
• Fat brane and seesaw mechanism in extra dimensions
• Radion stabilization from the vacuum on flat extra dimensions
• Three Generations and a Trio of Trialities
• Higgs quartic coupling and neutrino sector evolution in 2UED models
• Emerging Internal Symmetries from Effective Spacetimes
• One loop radiative correction to Kaluza-Klein masses in $S^2/Z_2$ universal extra dimensional model
• Bulk gauge and matter fields in nested warping: I. the formalism
• Bounds on the compactification scale of two universal extra dimensions from exclusive $b\to s\gamma$ decays
• Cosmological Constraints on Radion Evolution in the Universal Extra Dimension Model
• Assisted baryon number violation from $4k+2$ dimensions
• Hierarchy of Fermion Masses in the 5D Standing Wave Braneworld
• Analysis of the radiative ${\Lambda }_b\to \Lambda \gamma$ transition in SM and scenarios with one or two universal extra dimensions
• A Superalgebra Within: representations of lightest standard model particles form a ${\mathbb{Z}}_2^5$-graded algebra
• Constraints on Models with Warped Extra Dimensions
• Quantization and High Energy Unitarity in Orbifold Theories
• Neutrino masses in an $SU(4)\times U(1)$ -- electroweak model with a scalar decuplet