Unitarity Bounds for Gauged Axionic Interactions and the Green-Schwarz Mechanism

Abstract

We analyze the effective actions of anomalous models in which a four-dimensional version of the Green-Schwarz mechanism is invoked for the cancellation of the anomalies, and we compare it with those models in which gauge invariance is restored by the presence of a Wess-Zumino term. Some issues concerning an apparent violation of unitarity of the mechanism, which requires Dolgov-Zakharov poles, are carefully examined, using a class of amplitudes studied in the past by Bouchiat-Iliopoulos-Meyer (BIM), and elaborating on previous studies. In the Wess-Zumino case we determine explicitly the unitarity bound using a realistic model of intersecting branes (the Madrid model) by studying the corresponding BIM amplitudes. This is shown to depend significantly on the Stückelberg mass and on the coupling of the extra anomalous gauge bosons and allows one to identify Standard-Model-like regions (which are anomaly-free) from regions where the growth of certain amplitudes is dominated by the anomaly, separated by an inflection point which could be studied at the LHC. The bound can even be around 5-10 TeV's for a $Z^{\prime }$ mass around 1 TeV and varies sensitively with the anomalous coupling. The results for the WZ case are quite general and apply to all the models in which an axion-like interaction is introduced as a generalization of the Peccei-Quinn mechanism, with a gauged axion.

arXiv comment50 pages, 28 figures

References in corpus (21)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Physics of Heavy Z' Gauge Bosons
• Evidence for a new light spin-zero boson from cosmological gamma-ray propagation?
• A D-brane alternative to unification
• Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
• Predictions from an Anomalous U(1) Model of Yukawa Hierarchies
• Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms
• D-branes and the Standard Model
• TeV-Scale Z' Bosons from D-branes
• On the Effective Theory of Low Scale Orientifold String Vacua
• Axion-Like Particles, Cosmic Magnetic Fields and Gamma-Ray Astrophysics
• Stuckelberg Axions and the Effective Action of Anomalous Abelian Models 1. A unitarity analysis of the Higgs-axion mixing
• Windows over a New Low Energy Axion
• Stuckelberg Axions and the Effective Action of Anomalous Abelian Models 2. A SU(3)_C x SU(2)_W x U(1)_Y x U(1)_B model and its signature at the LHC
• Trilinear Anomalous Gauge Interactions from Intersecting Branes and the Neutral Currents Sector
• Precision Studies of the NNLO DGLAP Evolution at the LHC with CANDIA
• Axial anomaly: the modern status
• Investigation of anomalous axial QED
• The Axial Anomaly Revisited
• Axions: Past, Present, and Future

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