A seesaw‐like mechanism for the neutrino in the presence of a minimal length space–time

In the Standard Model, neutrinos appear as left‐handed massless particles, although experimentally they have a tiny, but non‐vanishing, mass. Inspired by quantum gravity, Moayedi, Setare, Moayeri & Poorakbar (2011) used a Lorentz‐covariant algebra for a quantized space–time to derive a modified...

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Bibliographic Details
Published in:Astronomische Nachrichten 2023-01, Vol.344 (1-2), p.n/a
Main Authors: Ferreira, Thiago Oliveira, Vasconcellos, César A. Z., Hadjimichef, Dimiter
Format: Article
Language:English
Subjects:
Dirac equation
minimal length
Neutrinos
noncommutative quantum mechanics
Quantum gravity
seesaw mechanism
Standard model (particle physics)
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Summary:In the Standard Model, neutrinos appear as left‐handed massless particles, although experimentally they have a tiny, but non‐vanishing, mass. Inspired by quantum gravity, Moayedi, Setare, Moayeri & Poorakbar (2011) used a Lorentz‐covariant algebra for a quantized space–time to derive a modified Dirac equation due to the presence of a minimal length. In this paper, we study this equation in the massless limit in order to describe neutrino states. We show that the minimal length creates a seesaw‐like mechanism that allows us to describe the observed left‐handed neutrinos with vanishing masses while the unobserved right‐handed neutrinos get extremely heavy.
ISSN:0004-6337
1521-3994
DOI:10.1002/asna.20220127