Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model
We investigate whether the Standard Model, within the accuracy of current experimental measurements, satisfies the regularity in the form of Hodge duality condition introduced and studied in . We show that the neutrino and quark mass-mixing and the difference of fermion masses are necessary for this property. We demonstrate that the current data supports this new geometric feature of the Standard Model, Hodge duality, provided that all neutrinos are massive.
KeywordsNon-Commutative Geometry Quark Masses and SM Parameters
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- A. Connes and M. Marcolli, Colloquium Publications. Vol. 55: Noncommutative geometry, quantum fields and motives, AMS Press, New York U.S.A. (2007).Google Scholar
- Particle Data Group, Review of Particle Physics, Chin. Phys. C 40 (2016) 100001.Google Scholar