Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model

Dąbrowski, Ludwik (0000 0004 1762 9868, Scuola Internazionale Superiore di Studi Avanzati (SISSA), via Bonomea 265, I-34136, Trieste, Italy) ; Sitarz, Andrzej (Instytut Fizyki Uniwersytetu Jagiellońskiego, Stanisława Łojasiewicza 11, 30-348, Kraków, Poland) (0000 0001 2286 5863, Institute of Mathematics of the Polish Academy of Sciences, Śniadeckich 8, 00-656, Warszawa, Poland)

13 February 2019

Abstract: 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 [9]. 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.

Published in: JHEP 1902 (2019) 068
Published by: Springer/SISSA
DOI: 10.1007/JHEP02(2019)068
arXiv: 1806.07282
License: CC-BY-4.0

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