Bogoliubov compensation principle in the electro-weak interaction: value of the gauge constant, muon g-2 anomaly, predictions for Tevatron and LHC

Abstract

We apply Bogoliubov compensation principle to the gauge electro-weak interaction to demonstrate a spontaneous generation of anomalous three-boson gauge invariant effective interaction. The non-trivial solution of compensation equations uniquely defines values of parameters of the theory and the form-factor of the anomalous interaction. The contribution of this interaction to running EW coupling ${\alpha }_{ew}(p^2)$ gives its observable value ${\alpha }_{ew}(M_W^2)=0.0374$ in satisfactory agreement to the experiment. The anomalous three-boson interaction gives natural explanation of the well-known discrepancy in muon $g-2$. The implications for EW studies at Tevatron and LHC are briefly discussed.

arXiv comment14 pages, 9 figures, 2 tables, typos corrected

References in corpus (8)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• CompHEP 4.4 - Automatic Computations from Lagrangians to Events
• Scaling function in AdS/CFT from the O(6) sigma model
• Search for resonant diphoton production with the D0 detector
• NJL model derived from QCD
• The muon g-2 discrepancy: errors or new physics?
• Spontaneous generation of the Nambu --Jona-Lazinio interaction in quantum chromodynamics with two light quarks
• Infrared non-perturbative QCD running coupling from Bogolubov approach

Cited by in corpus (7)

• LHC would-be $\gamma \gamma$ excess as a non-perturbative effect of the electro-weak interaction
• Non-perturbative solutions in the electro-weak theory with $\bar{t}t$ condensate and the $t$-quark mass
• Finite width induced modification to the electromagnetic form factors of spin-1 particles
• Calculation of the contribution to muon $g-2$ due to the effective anomalous three boson interaction and the new experimental result
• CDF Wjj anomaly as a non-perturbative effect of the electro-weak interaction
• On a possibility of a consistent interpretation of diboson excesses at LHC
• Bogoliubov compensation approach in QCD and in the electroweak theory