Standard Model Gauging of the WZW Term: Anomalies, Global Currents and pseudo-Chern-Simons Interactions

Abstract

The standard model $SU(2{)}_L\times U(1{)}_Y$ gauging of the Wess-Zumino-Witten term requires a modified counterterm when background fields, needed to generate the full set of currents, are introduced. The modified counterterm plays an essential role in properly defining covariant global currents and their anomalies. For example, it is required in order to correctly derive the gauge invariant baryon number current and its anomalous divergence. The background fields can also be promoted to a description of the physical spin-1 vector and axial-vector mesons in QCD and the counterterm leads to novel interactions. These are (pseudo-) Chern-Simons terms, such as ${\epsilon }^{\mu \nu \rho \sigma }{\omega }_{\mu }{Z}_{\nu }{\partial }_{\rho }{A}_{\sigma }$ and ${\epsilon }^{\mu \nu \rho \sigma }{\rho }_{\mu }^{\pm }{W}_{\nu }^{\mp }{\partial }_{\rho }{A}_{\sigma }$ that mediate new interactions between neutrinos and photons at finite baryon density.

arXiv comment14 pages

References in corpus (12)

• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• A Search for Electron Neutrino Appearance at the Delta m**2 ~ 1 eV**2 Scale
• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• Anomaly mediated neutrino-photon interactions at finite baryon density
• T-Parity Violation by Anomalies
• Topological Physics of Little Higgs Bosons
• Anomalies, Chern-Simons Terms and Chiral Delocalization in Extra Dimensions
• Non-Abelian Anomalies and Effective Actions for a Homogeneous Space $G/H$
• Exact Equivalence of the D=4 Gauged Wess-Zumino-Witten Term and the D=5 Yang-Mills Chern-Simons Term
• Dimensional Deconstruction and Wess-Zumino-Witten Terms
• Topological Solitons from DeConstructed Extra Dimensions
• Electromagnetic isoscalar rho-pi-gamma exchange current and the anomalous action

Cited by in corpus (56)

• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• Event Excess in the MiniBooNE Search for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations
• Unexplained Excess of Electron-Like Events From a 1-GeV Neutrino Beam
• Beta Decays and Non-Standard Interactions in the LHC Era
• Dark forces coupled to non-conserved currents
• The MiniBooNE anomaly and heavy neutrino decay
• Leptophobic Dark Matter at Neutrino Factories
• Resolution of puzzles from the LSND, KARMEN, and MiniBooNE experiments
• A Search for Electron Antineutrino Appearance at the $\Delta m^2\sim$ 1 ${\mathrm{eV}}^2$ Scale
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking
• Low energy analysis of nu N --> nu N gamma in the Standard Model
• Generation of Circular Polarization of the Cosmic Microwave Background
• The Role of the Dilaton in Dense Skyrmion Matter
• On the single photon background to nu_e appearance at MiniBooNE
• A Search for Single Photon Events in Neutrino Interactions
• Can neutrino-induced photon production explain the low energy excess in MiniBooNE?
• Coherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• VSBL Electron Neutrino Disappearance
• Photoproduction through Chern-Simons Term Induced Interactions in Holographic QCD
• An Effective Lagrangian for Low-Scale Technicolor
• Effective Field Theory of Stückelberg Vector Bosons
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei
• A T-odd Momentum Correlation in Radiative β-Decay
• Radiative Beta Decay for Studies of CP Violation
• Three sterile neutrinos in E6
• Heavy Fermion Non-Decoupling Effects in Triple Gauge Boson Vertices
• Topological Interactions in Warped Extra Dimensions
• A Higgs Impostor in Low-Scale Technicolor
• Low-energy photon production in neutrino neutral-current interactions
• A novel spectral broadening from vector--axial-vector mixing in dense matter
• Novel spectral broadening from vector--axial-vector mixing in dense matter
• A Light Scalar in Low-Scale Technicolor
• Uncovering new strong dynamics via topological interactions at the 100 TeV collider
• Wess-Zumino-Witten Interactions of Axions
• Anomalous $\omega$-$Z$-$\gamma$ Vertex from Hidden Local Symmetry
• A comprehensive study of ALPs from $B$-decays
• Generalized Chern-Simons Terms and Chiral Anomalies in N=1 Supersymmetry
• MiniBooNE Oscillation Results 2011
• SU(3)/SU(2): the simplest Wess-Zumino-Witten term
• Production of Chern-Simons bosons in decays of mesons
• Some new implications of the anomalous baryon current in the Standard Model
• Wess-Zumino-Witten Interactions of Axions: Three-Flavor
• Constraining axion-gluon coupling in monohadron processes
• Gauged WZW Models Via Equivariant Cohomology
• NuFact08 -- Closing Talk
• Divergences in the effective loop interaction of the Chern-Simons bosons with leptons. The unitary gauge case
• Misconceptions on Effective Field Theories and spontaneous symmetry breaking: Response to Ellis' article
• Chern-Simons and WZW Anomaly Cancelations Across Dimensions
• Fundamental Neutron Physics: a White Paper on Progress and Prospects in the US
• Enhanced active-sterile neutrino polarizability at the intensity frontier
• Sterile Neutrinos in $E_6$
• Theoretical Perspectives: XLIII Rencontres de Moriond - QCD
• Tracing Remnants of the Baryon Vector Current Anomaly in Neutron Radiative Beta Decay
• An overview of neV probes of PeV scale physics --- and of what's in between