Neutrino magnetic moments in low-energy neutrino scattering on condensed matter systems

Abstract

The cross sections of elastic neutrino scattering on electrons and nuclei in the regime of low-energy transfer are known to be very sensitive to neutrino electromagnetic properties. In particular, the magnetic moment of the neutrino can be effectively searched using liquid or solid detectors with a very low energy threshold. We present the formalism that incorporates the neutrino magnetic moment contribution in the theoretical treatment of the low-energy elastic neutrino scattering on a condensed-matter target. The concept of the dynamic structure factor is employed to describe the collective effects in the target. The differential cross section for tritium antineutrino scattering on the superfluid ${}^4$He is calculated numerically. We find that the neutrino magnetic moment of the order of $10^{-11}{\mu }_B$ strongly affects the cross section. Our results can be used in the search of neutrino magnetic moments in future low-energy neutrino scattering experiments with liquid or solid targets.

Comments: 4 pages LaTex, 2 figures, based on the presentation at the 17th International Conference on Topics in Astroparticle and Underground Physics (TAUP 2021), 26 August - 3 September 2021, hosted by IFIC Valencia and held online. Fixed misprints made in the journal version