Electromagnetic properties of massive neutrinos in low-energy elastic neutrino-electron scattering

Abstract

A thorough account of electromagnetic interactions of massive neutrinos in the theoretical formulation of low-energy elastic neutrino-electron scattering is given. The formalism of neutrino charge, magnetic, electric, and anapole form factors defined as matrices in the mass basis is employed under the assumption of three-neutrino mixing. The flavor change of neutrinos traveling from the source to the detector is taken into account and the role of the source-detector distance is inspected. The effects of neutrino flavor-transition millicharges and charge radii in the scattering experiments are pointed out.

Coherent elastic neutrino-nucleus scattering at the European Spallation Source

“…where F ν is the electromagnetic form factor of the neutrino. The inclusion of this form factor affects the scattering of neutrinos with other charged particles in the SM, and effectively induces a shift in the value of the effective mixing angle [148][149][150],…”

Electromagnetic neutrino properties: present status and future prospects

“…In all but one previous studies it was claimed that the effect of the neutrino charge radius can be included just as a shift of the vector coupling constant g V in the weak contribution to the cross section. However, as it has been recently demonstrated in [18] within the direct calculations of the elastic neutrino-electron scattering cross section accounting for all possible neutrino electromagnetic characteristics and neutrino mixing, this is not the fact. The neutrino charge radius dependence of the cross section is more complicated and there are, in particular, the dependence on the interference terms of the type g V ⟨r 2…”

“…This indicates that the minimally extended Standard Model neutrino charge radii could be experimentally tested in the near future. Note that there is a need to re-estimate experimental constraints on ⟨r 2 e,µ,τ ⟩ from the scattering experiments following new derivation of the cross section [18] that properly accounts for the interference of the weak and charge radius electromagnetic interactions and also for the neutrino mixing. Quite recently constraints on diagonal ⟨r 2 e,µ,τ ⟩ and off-diagonal ⟨r 2 e,µ,τ ⟩ charged radii have been obtained [19] from the analysis of the data on coherent elastic neutrino-nucleus scattering obtained in the COHERENT experiment [27,28].…”

Neutrino electromagnetic properties: a window to new physics - II

“…This indicates that the minimally extended Standard Model neutrino charge radii could be experimentally tested in the near future. Note that there is a need to re-estimate experimental constraints on r 2 e,µ,τ from the scattering experiments following new derivation of the cross section [24] that properly accounts for the interference of the weak and charge radius electromagnetic interactions and also for the neutrino mixing.…”