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

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 $\mu_{\nu_{\mu}} < 4*10^{-8} \mu_B$, which is approximately two orders of magnitude weaker than that from $\nu_{\mu}e$ elastic scattering data.