On the production of a lepton pair in the collision of ultrarelativistic neutral particle with nonzero magnetic moment with nuclei

Abstract

Explicit formulas which describe muon pair production in reaction $\gamma \nu \to {\mu }^{+}{\mu }^{-}\nu$ through neutrino magnetic moment are obtained and used to derive in the leading approximation cross section of muon pair production in $\nu N$-scattering due to neutrino magnetic moment. This cross section appears to be proportional to ${\log }^4{E}_{\nu }$. Comparison with experimental data on tridents production provides an upper bound ${\mu }_{{\nu }_{\mu }}<4\ast 10^{-8}{\mu }_B$, which is approximately two orders of magnitude weaker than that from ${\nu }_{\mu }e$ elastic scattering data.

Comments: 9 pages, 4 figures, numerical estimates are improved