Abstract. We calculate the neutrino luminosity of a degenerate electron gas in a strong magnetic field via plasmon decay to a neutrino pair due to neutrino electromagnetic moments and obtain the relative upper bounds on the effective neutrino magnetic moment.1. Neutrino emission is the main mechanism of the energy losses of stars in the late stages of their evolution [1]. We will consider cooling of the outer regions of neutron stars that are rarefied enough to be transparent to originating neutrinos. Strong magnetic fields (H > ∼ 10 12 G) can exist in these regions; moreover, the fields for the class of the neutron stars that are called magnetars can reach 10 14 − 10 16 G [2] (see also [3]). Under these conditions, the main processes of neutrino production are annihilation of an electron-positron pair (e − e + → νν), photoproduction of a neutrino pair on the electron (γe ± → e ± νν), photon decay (γ → νν) , and two-photon annihilation (γγ → νν). The results of the study of these processes (without a magnetic field) were given in the review [4]. The luminosity of a degenerate nonrelativistic gas via photoproduction of neutrino pairs for the case of a superstrong magnetic field was calculated in [5]. The authors of [6] estimated the luminosity of the degenerate electron gas due to these processes in a superstrong field. The results for photoproduction of neutrino pairs were corrected in [7].Simple extension of the standard model of the electroweak interactions generates electromagnetic dipole moments of a massive Dirac neutrino (see [1] and a recent review [8])).2. In this report, we address one of the processes of neutrino emission that is plasmon decay to a neutrino pair mediated by the neutrino electromagnetic moments. As is well known, the plasmon is the photon with a nonzero mass generated by interaction with a medium. A relevant medium model for the outer region of the neutron star is a degenerate electron gas in a strong magnetic field H:a