On a possible effective four-boson interaction and its implications at the upgraded LHC

Abstract

We consider a possibility of a spontaneous generation of fourfold effective interactions of electroweak gauge bosons $W^a$ and $B$. The conditions for the spontaneous generation are shown to lead to a set of compensation equations for parameters of the interaction. In case of a realization of a non-trivial solution of the set, important electro-weak parameter ${\sin }^2{\theta }_W$ is defined. The existence of two non-trivial solutions is demonstrated, which provide a satisfactory value for the electromagnetic fine structure constant $\alpha$ at scale $M_Z$: $\alpha (M_Z)=0.007756$. There is a solution with the high effective cut-off being close to the Planck mass by the order of magnitude. The most interesting solution corresponds to effective cut-off $\simeq 10^{2}TeV$. This solution gives quite definite prediction for non-perturbative effects in processes $p+p\to \bar{t}t(W^{\pm },Z)$, which could be observed at the upgraded LHC.

Comments: 16 pages, 4 figures, Title changed, corrections made, version accepted by Progress of Theoretical and Experimental Physics. arXiv admin note: text overlap with arXiv:1404.3032