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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2502.09855 |
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| _version_ | 1866915152160358400 |
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| author | van Putten, Maurice H. P. M. Abchouyeh, Maryam A. |
| author_facet | van Putten, Maurice H. P. M. Abchouyeh, Maryam A. |
| contents | Weak interactions in neutron $β$-decay exhibit parity violation through the preferential emission of right-handed antineutrinos. We identify this symmetry breaking with a reduction of phase space due to the small neutrino mass. During a brief interval of momentum exchange, a small mass neutrino puts the emission process close to the bifurcation horizon of Rindler space, doubly covered by Minkowski space ${\cal M}$ as dictated by the Equivalence Principle of general relativity. In the limit of arbitrarily small mass, this two-sheet covering effectively collapses into a single sheet, reducing the dimension of Dirac spinors from four to two, leaving neutrinos single-handed. This predicts a similar reduction to single-handed particle states in electrons created at TeV energies, which may be tested with the planned linear leptonic colliders. If confirmed, right-handed small mass neutrinos are expected to exist at sufficiently low energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prospects for observing chiral symmetry breaking in lepton colliders van Putten, Maurice H. P. M. Abchouyeh, Maryam A. High Energy Physics - Phenomenology Weak interactions in neutron $β$-decay exhibit parity violation through the preferential emission of right-handed antineutrinos. We identify this symmetry breaking with a reduction of phase space due to the small neutrino mass. During a brief interval of momentum exchange, a small mass neutrino puts the emission process close to the bifurcation horizon of Rindler space, doubly covered by Minkowski space ${\cal M}$ as dictated by the Equivalence Principle of general relativity. In the limit of arbitrarily small mass, this two-sheet covering effectively collapses into a single sheet, reducing the dimension of Dirac spinors from four to two, leaving neutrinos single-handed. This predicts a similar reduction to single-handed particle states in electrons created at TeV energies, which may be tested with the planned linear leptonic colliders. If confirmed, right-handed small mass neutrinos are expected to exist at sufficiently low energies. |
| title | Prospects for observing chiral symmetry breaking in lepton colliders |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.09855 |