Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2601.17457 |
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Inhaltsangabe:
- The ``Practical Dirac-Majorana Confusion Theorem'' (PDMCT) asserts that phenomenological differences between Dirac and Majorana neutrinos are suppressed by $(m_ν/E)^2$ in lepton-number-conserving processes, such that at high energy, it is impossible to experimentally distinguish between Dirac o Majorana neutrinos. In this work, we propose a generalization of this theorem by introducing a New Physics vector boson ($Z'$) with CP-violating, flavor-changing neutral current (FCNC) couplings. While Fermi-Dirac statistics dictate that the flavor-diagonal vector current identically vanishes for Majorana neutrinos, we demonstrate that for non-diagonal transitions, the Majorana condition exactly cancels the real (CP-conserving) component of the vector interaction but keeping only the imaginary part induced by CP violation. Consequently, the kinematic mass suppression is lifted, and the difference in inclusive scattering cross-sections between Dirac and Majorana neutrinos becomes directly dependent on the FCNC CP-violating phase $ϕ$. We apply this result to Coherent Elastic Neutrino-Nucleus Scattering (CE$ν$NS), showing that for spin-zero targets, the distinguishability of the neutrino's nature is determined by the CP structure of the new interaction.