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

We consider the possibility of a spontaneous generation of four-fold 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 the case of a realization of a non-trivial solution of the set, the important electroweak parameter sin 2 θ W is defined. The existence of two non-trivial solutions is demonstrated, which provide a satisfactory value for the electromagnetic fine structure constant α at scale M Z : α ( M Z ) = 0.007756 . There is a solution with the high effective cut-off being close to the Planck mass by order of magnitude. The most interesting solution corresponds to an effective cut-off of ≃ 10 2 TeV. This solution gives a quite definite prediction for non-perturbative effects in the processes p + p → t ¯ t ( W ± , Z ) , which could be observed at the upgraded LHC.