Heavy Fermion Non-Decoupling Effects in Triple Gauge Boson Vertices

Abstract

Within a spontaneously broken gauge group we carefully analyse and calculate triple gauge boson vertices dominated by triangle one-loop Feynman diagrams involving heavy fermions compared to external momenta and gauge boson masses. We perform our calculation strictly in four dimensions and derive a general formula for the off-shell, one-particle irreducible (1PI) effective vertex which satisfies the relevant Ward Identities and the Goldstone boson equivalence theorem. Our goal is to search for non-decoupling heavy fermion effects highlighting their synergy with gauge chiral anomalies. Particularly in the Standard Model, we find that when the arbitrary anomaly parameters are fixed by gauge invariance and/or Bose symmetry, the heavy fermion contribution cancels its anomaly contribution leaving behind anomaly and mass independent contributions from the light fermions. We apply these results in calculating the corresponding CP-invariant one-loop induced corrections to triple gauge boson vertices in the SM, minimal $Z^{\prime }$models as well as their extensions with a fourth fermion generation, and compare with experimental data.

35 pages, RevTex, twocolumn style, v2: published version

References in corpus (16)

• Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms
• Anomaly mediated neutrino-photon interactions at finite baryon density
• New Constraints (and Motivations) for Abelian Gauge Bosons in the MeV-TeV Mass Range
• Standard Model Gauging of the WZW Term: Anomalies, Global Currents and pseudo-Chern-Simons Interactions
• Search for heavy bottom-like quarks decaying to an electron or muon and jets in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV
• Landau-Yang Theorem and Decays of a Z' Boson into Two Z Bosons
• Anomaly driven signatures of new invisible physics at the Large Hadron Collider
• Stuckelberg Axions and the Effective Action of Anomalous Abelian Models 1. A unitarity analysis of the Higgs-axion mixing
• Probing the Green-Schwarz Mechanism at the Large Hadron Collider
• Limits on Anomalous Trilinear Gauge Couplings in Zgamma Events from ppbar Collisions at sqrt{s} = 1.96 TeV
• Wgamma production and limits on anomalous WWgamma couplings in ppbar collisions
• Trilinear Anomalous Gauge Interactions from Intersecting Branes and the Neutral Currents Sector
• Study of Triple-Gauge-Boson Couplings ZZZ, ZZgam and Zgamgam at LEP
• Search for a scalar or vector particle decaying into Zgamma in ppbar collisions at sqrt(s) = 1.96 TeV
• Measurements of CP-conserving Trilinear Gauge Boson Couplings WWV (V = gamma,Z) in e+e- Collisions at LEP2
• Implications of the Stability and Triviality Bounds on the Standard Model with Three and Four Chiral Generations

Cited by in corpus (10)

• Dark forces coupled to non-conserved currents
• Neutron Stars with Baryon Number Violation, Probing Dark Sectors
• Forbidden Dark Matter Annihilations into Standard Model Particles
• Effective Field Theory of Stückelberg Vector Bosons
• Probing new $U(1)$ gauge symmetries via exotic $Z\to Z^{\prime }\gamma$ decays
• Anomalous Fermion Mass Generation at Three Loops
• The Elusive Muonic WIMP
• Reheating and Leptogenesis after Vector inflation
• Anomalous $U(1)$ extension of the Standard Model
• Probing triple-gauge couplings in anomalous gauge theories at hadron and lepton colliders