Absolute neutrino mass and the Dirac/Majorana distinction from the weak interaction of aggregate matter

Abstract

The 2ν-mediated force has a range of microns, well beyond the atomic scale. The effective potential is built from the t-channel absorptive part of the scattering amplitude and depends on neutrino properties on shell. We demonstrate that neutral aggregate matter has a weak charge and calculate the matrix of six coherent charges for its interaction with definite-mass neutrinos. Near the range of the potential the neutrino pair is nonrelativistic, leading to observable absolute mass and Dirac/Majorana distinction via different r-dependence and violation of the weak equivalence principle.

The neutrino Casimir force

“…which corresponds to a repulsive force and is consistent with the literature (e.g. [15,16]). At short distances mr 1, Dirac and Majorana predictions converge to…”

“…In this section, we present the force between two nonrelativistic fermions ψ arising from the exchange of two neutrinos, ν i and ν j . Similar results have already been presented in the literature, see for instance [15,16]. Here we present the most complete result including the spin-dependent part of the potential.…”

“…Another approach is to study the macroscopic forces that arise from the exchange of virtual neutrinos [15,16]. In the low energy effective theory of the weak interaction, pairs of neutrinos can be exchanged, as shown in figure 2.…”

“…Recently there has been renewed interest in this approach, for instance in [16]. These authors consider three generations of neutrinos (including mixing) in their calculation of the potential between point sources.…”

Probing new physics with long-range neutrino interactions: an effective field theory approach

“…Recently, atomic and nuclear systems have attracted substantial attention as probes of SM physics and beyond [55][56][57][58][59], with excellent improvements in the experimental precision and a promising future prospect for further improvements on experimental measurements [60]. In particular, in ref.…”