Fixed points in the evolution of neutrino mixings

We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give pres...

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Detalles Bibliográficos
Autores principales: Chankowski, Piotr H., Krolikowski, Wojciech, Pokorski, Stefan
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(99)01465-3
http://cds.cern.ch/record/402540
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author Chankowski, Piotr H.
Krolikowski, Wojciech
Pokorski, Stefan
author_facet Chankowski, Piotr H.
Krolikowski, Wojciech
Pokorski, Stefan
author_sort Chankowski, Piotr H.
collection CERN
description We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.
id cern-402540
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
record_format invenio
spelling cern-4025402023-03-12T05:36:49Zdoi:10.1016/S0370-2693(99)01465-3http://cds.cern.ch/record/402540engChankowski, Piotr H.Krolikowski, WojciechPokorski, StefanFixed points in the evolution of neutrino mixingsParticle Physics - PhenomenologyWe derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give $\sin^22\theta_{sol}=\sin^22\theta_{atm}\sin^2\theta_3/ (\sin^2\theta_{atm}\cos^2\theta_3 + \sin^2\theta_3)^2$, consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give $\sin^22\theta_{sol}=\sin^22\theta_{atm}\sin^2\theta_3/ (\sin^2\theta_{atm}\cos^2\theta_3 + \sin^2\theta_3)^2$, consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give $\sin^22\theta_{sol}=\sin^22\theta_{atm}\sin^2\theta_3/ (\sin^2\theta_{atm}\cos^2\theta_3 + \sin^2\theta_3)^2$, consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.We identify fixed points in the renormalization group equations for neutrino mixing angles, which can be reached during the evolution for several mass patterns and give sin 2 2 θ sol =sin 2 2 θ atm sin 2 θ 3 /(sin 2 θ atm cos 2 θ 3 +sin 2 θ 3 ) 2 , consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles.hep-ph/9910231CERN-TH-99-269IFT-99-22CERN-TH-99-269IFT-99-22oai:cds.cern.ch:4025401999-10-06
spellingShingle Particle Physics - Phenomenology
Chankowski, Piotr H.
Krolikowski, Wojciech
Pokorski, Stefan
Fixed points in the evolution of neutrino mixings
title Fixed points in the evolution of neutrino mixings
title_full Fixed points in the evolution of neutrino mixings
title_fullStr Fixed points in the evolution of neutrino mixings
title_full_unstemmed Fixed points in the evolution of neutrino mixings
title_short Fixed points in the evolution of neutrino mixings
title_sort fixed points in the evolution of neutrino mixings
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(99)01465-3
http://cds.cern.ch/record/402540
work_keys_str_mv AT chankowskipiotrh fixedpointsintheevolutionofneutrinomixings
AT krolikowskiwojciech fixedpointsintheevolutionofneutrinomixings
AT pokorskistefan fixedpointsintheevolutionofneutrinomixings

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