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

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 necess...

Full description

Bibliographic Details
Main Authors: Ludwik Dąbrowski, Andrzej Sitarz
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2019)068
Description
Summary: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.
ISSN:1029-8479