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VOLUME 101 (2015) | ISSUE 10 | PAGE 733
A study of neutrino decay in magnetic field with the "worldline instanton" approach
DOI: 10.7868/S0370274X1510001X
Abstract
We study the process of neutrino decay to electron and W-boson in the external magnetic field using the semiclassical "worldline instanton" approach. Being interested only in the leading exponential factor, we make calculations in a toy model, treating all particles as scalars. This calculation determines the effective threshold energy of the reaction as a function of the magnetic field. Possible astrophysical applications are discussed. It is emphasized that the method is general and is applicable to a decay of an arbitrary neutral particle into charged ones in the external electromagnetic field.