The radiative decay of the massive neutrino ν i → ν j γ is investigated in the framework of the Standard Model in external electromagnetic fields of various configurations: constant crossed field, constant uniform magnetic field, plane monochromatic wave's field. The effect of significant enhancement of the neutrino decay probability by the external field (electromagnetic catalysis) is discussed. An especially strong enhancement occurs in the case of the ultrarelativistic neutrino decay, since in this case the decay probability does not contain suppression caused by the smallness of the decaying neutrino mass. The ultrarelativistic neutrino decay catalysis is significant even in a relatively weak external field (F/F e ≪ 1, where F e is the critical Schwinger value). The expression for the photon splitting probability into the neutrino pair γ → ν iνj in the wave field is given. The estimations of a number of gamma-quanta produced in a volume filled with an electromagnetic field and the neutrino lifetime in a strong magnetic field are presented.To be published in Physical Review, V. D54, N 7.
The low-energy manifestations of a minimal extension of the electroweak standard model based on the quark-lepton symmetry SU (4) V ⊗ SU (2) L ⊗ G R of the Pati-Salam type are analyzed. Given this symmetry the third type of mixing in the interactions of the SU (4) V leptoquarks with quarks and leptons is shown to be required. An additional arbitrariness of the mixing parameters could allow, in principle, to decrease noticeably the lower bound on the vector leptoquark mass originated from the low-energy rare processes, strongly suppressed in the standard model.
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