Abstract
The 2$\nu$-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 non-relativistic, leading to observable absolute mass and Dirac/Majorana distinction via different r-dependence and violation of the weak equivalence principle.
Highlights
The experimental evidence of neutrino oscillations is one of the most important discoveries in particle physics
We have developed [31] the theory of the long-range force mediated by two neutrinos including for the first time all ingredients of neutrino physics relevant to the region of distances near the range of the interaction, with masses, mixing and the Dirac/ Majorana distinction
All the ingredients are ready to compute at all distances the two-neutrino-mediated potential VðrÞ, always repulsive for aggregate matter, with the analytic limits given in Eqs. (8) and (9)
Summary
The experimental evidence of neutrino oscillations is one of the most important discoveries in particle physics. When interpreted in terms of a new “fifth force” Yukawa interaction, the present upper limit to its coupling relative to gravity goes [27] from 1 to 106 for a corresponding range from 40 to 1 micron Following these guiding concepts, we have developed [31] the theory of the long-range force mediated by two neutrinos including for the first time all ingredients of neutrino physics relevant to the region of distances near the range of the interaction, with masses, mixing and the Dirac/ Majorana distinction. The interaction vertex of this state is twice the axial current and, when contracted with the coherent weak charge of matter, the intervening contribution is the parity-odd axial charge This fundamental difference in the dynamics of Majorana neutrinos, with respect to Dirac neutrinos, is affecting the behavior of the absorptive part at low values of t. This different nonrelativistic behavior leads to the final distinction in the potential, providing the signal to determine the neutrino nature
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