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 $γν\to μ^+ μ^- ν$ through neutrino magnetic moment are obtained and used to derive in the leading approximation cross section of muon pair production in $νN$-scattering due to neutrino magnetic moment. This cross section appears to be proportional to $\log^4 E_ν$. Comparison with experimental data on tridents production provides an upper bound $μ_{ν_μ} < 4*10^{-8} μ_B$, which is approximately two orders of magnitude weaker than that from $ν_μe$ elastic scattering data.