Spin-Independent Two-Neutrino Exchange Potential with Mixing and $CP$-Violation

Abstract

We develop a new approach for calculating the spin-independent 2-neutrino exchange potential (2-NEP) between non-relativistic fermions which places emphasis on the neutrino vacuum state, an area of theoretical interest in recent years. The 2-NEP is a natural probe of fundamental issues of neutrino physics such as neutrino masses, flavor mixing, the number of neutrino flavors, neutrino nature (Dirac or Majorana), $CP$-violation, and the neutrino vacuum state. We explore the dependence of the 2-NEP on the mixing of neutrino mass states assuming normal and inverted mass ordering for nucleon-nucleon, nucleon-lepton, and lepton-lepton interactions, and the $CP$-violation phase in the neutrino mixing matrix.

arXiv comment19 pages, 7 figures (ReVTeX), new Fig. 7, small changes to match published version

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• Neutrino As The Dark Force
• Probing the two-neutrino exchange force using atomic parity violation
• Probing New Physics with Long-Range Neutrino Interactions: An Effective Field Theory Approach
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• Neutrino forces in neutrino backgrounds
• On the short-range behavior of neutrino forces beyond the Standard Model: from $1/r^5$ to $1/r^4$, $1/r^2$, and $1/r$
• Background-Induced Forces from Dark Relics
• A Study of New Physics Searches with Tritium and Similar Molecules
• The neutrino force in neutrino backgrounds: Spin dependence and parity-violating effects
• On neutrino-mediated potentials in a neutrino background
• The Quantum Mechanics Swampland
• Neutrino force at all length scales
• The 2-Neutrino Exchange Potential with Mixing: A Probe of Neutrino Physics and CP Violation