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arxiv: 1806.07282 · v2 · pith:GHH3FHXB · submitted 2018-06-19 · hep-th · math-ph· math.MP· math.QA

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

Ludwik Dabrowski , Andrzej Sitarz This is my paper

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classification hep-th math-phmath.MPmath.QA
keywords modelstandardcurrentdualityfermionhodgemass-mixingmasses
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We investigate whether the Standard Model, within the accuracy of current experimental measurements, satisfies the Hodge duality condition introduced and studied in Dabrowski, D'Andrea, Sitarz, Lett Math Phys (2018) 108:1323. We show that the neutrino and quark mass-mixing and the difference of fermion masses is necessary for this property. We demonstrate that the current data supports the new geometric feature of the Standard Model, Hodge duality, provided that all neutrinos are massive.

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  1. Spectral Noncommutative Geometry, Standard Model and all that

    hep-th 2019-06 unverdicted novelty 2.0

    Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.