https://doi.org/10.1140/epjp/s13360-024-05758-z
Regular Article
Parity nonconservation induced by spacetime geometry
S. N. Bose National Centre for Basic Sciences, JD Block, Sector 3, 700106, Salt Lake, Kolkata, West Bengal, India
Received:
8
June
2024
Accepted:
18
October
2024
Published online:
30
October
2024
The interaction of fermion spin with spacetime can be non-universal, leading to a new interaction beyond the Standard Model, independent of gravitation. Fermions generate spacetime torsion, which can be integrated out in favor of a four-fermion interaction in a torsion-free background. This is a current-current interaction which involves all fermions and generically has different coupling constants for different chiralities and species of fermions. It does not vanish when curvature goes to zero, so accelerator experiments should be able to see its effect. We calculate the contribution of this geometrical interaction to parity nonconservation in 
and 
scattering and compare with known observations. This provides an estimate of an upper bound on the coupling constants, suggesting that the strength of the “new physics” can be as large as only one order of magnitude smaller than that of weak interactions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
