Massive Neutrinos in Almost-Commutative Geometry

dc.creatorStephan, Christoph A.
dc.date2006-08-08
dc.date.accessioned2026-07-07T11:06:59Z
dc.date.available2026-07-07T11:06:59Z
dc.descriptionIn the noncommutative formulation of the standard model of particle physics by A. Connes and A. Chamseddine [1] one of the three generations of fermions has to possess a massless neutrino. This formulation is consistent with neutrino oscillation experiments and the known bounds of the Pontecorvo-Maki-Nakagawa-Sakata matrix (PMNS matrix). But future experiments which may be able to detect neutrino masses directly and high-precission measurements of the PMNS matrix might need massive neutrinos in all three generations. In this publication we present an almost-commutative geometry which allows for a standard model with massive neutrinos in all three generations. This model does not follow in a straight forward way from Connes' and Chamseddine's version since it requires an internal algebra with four summands of matrix algebras, instead of three summands for the model with one massless neutrino.
dc.identifierhttps://arxiv.org/abs/hep-th/0608053
dc.identifierhttp://arxiv.org/abs/hep-th/0608053
dc.identifierJ.Math.Phys.438:023513,2007
dc.identifierdoi:10.1063/1.2437854
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189703
dc.subjectHigh Energy Physics - Theory
dc.titleMassive Neutrinos in Almost-Commutative Geometry
dc.typetext

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