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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2601.17457 |
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| _version_ | 1866912926858739712 |
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| author | Delepine, David Yebra, A. |
| author_facet | Delepine, David Yebra, A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17457 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalizing the Dirac-Majorana Confusion Theorem: The Role of CP-Violating Phases in New Physics Vector Interactions Delepine, David Yebra, A. High Energy Physics - Phenomenology 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. |
| title | Generalizing the Dirac-Majorana Confusion Theorem: The Role of CP-Violating Phases in New Physics Vector Interactions |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.17457 |