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Title: Quark lepton complementarity and renormalization group effects

Abstract

We consider a scenario for the quark-lepton complementarity relations between mixing angles in which the bimaximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle {theta}{sub 12} is {approx}1{sigma} (1.5 degree sign -2 degree sign ) above the best fit point coinciding practically with the tribimaximal mixing prediction. Realization of this scenario in the context of the seesaw type-I mechanism with leptonic Dirac mass matrices approximately equal to the quark mass matrices is studied. We calculate the renormalization group corrections to {theta}{sub 12} as well as to {theta}{sub 13} in the standard model (SM) and minimal supersymmetric standard model (MSSM). We find that in a large part of the parameter space corrections {delta}{theta}{sub 12} are small or negligible. In the MSSM version of the scenario, the correction {delta}{theta}{sub 12} is in general positive. Small negative corrections appear in the case of an inverted mass hierarchy and opposite CP parities of {nu}{sub 1} and {nu}{sub 2} when leading contributions to {theta}{sub 12} running are strongly suppressed. The corrections are negative in the SM version in a large part of the parameter space for values of the relative CP phase of {nu}{sub 1} andmore » {nu}{sub 2}: {phi}>{pi}/2.« less

Authors:
;  [1]
  1. Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching (Germany)
Publication Date:
OSTI Identifier:
20868073
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 74; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.74.113003; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; CP INVARIANCE; MATRICES; NEUTRINOS; PARITY; QUARKS; RENORMALIZATION; REST MASS; STANDARD MODEL; SUPERSYMMETRY; WEINBERG ANGLE

Citation Formats

Schmidt, Michael A, Smirnov, Alexei Yu, Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching, Abdus Salam International Centre for Theoretical Physics, I-34100 Trieste, and and Institute for Nuclear Research, Russian Academy of Science, Moscow. Quark lepton complementarity and renormalization group effects. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.74.113003.
Schmidt, Michael A, Smirnov, Alexei Yu, Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching, Abdus Salam International Centre for Theoretical Physics, I-34100 Trieste, & and Institute for Nuclear Research, Russian Academy of Science, Moscow. Quark lepton complementarity and renormalization group effects. United States. https://doi.org/10.1103/PHYSREVD.74.113003
Schmidt, Michael A, Smirnov, Alexei Yu, Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching, Abdus Salam International Centre for Theoretical Physics, I-34100 Trieste, and and Institute for Nuclear Research, Russian Academy of Science, Moscow. 2006. "Quark lepton complementarity and renormalization group effects". United States. https://doi.org/10.1103/PHYSREVD.74.113003.
@article{osti_20868073,
title = {Quark lepton complementarity and renormalization group effects},
author = {Schmidt, Michael A and Smirnov, Alexei Yu and Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Strasse, 85748 Garching and Abdus Salam International Centre for Theoretical Physics, I-34100 Trieste and and Institute for Nuclear Research, Russian Academy of Science, Moscow},
abstractNote = {We consider a scenario for the quark-lepton complementarity relations between mixing angles in which the bimaximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle {theta}{sub 12} is {approx}1{sigma} (1.5 degree sign -2 degree sign ) above the best fit point coinciding practically with the tribimaximal mixing prediction. Realization of this scenario in the context of the seesaw type-I mechanism with leptonic Dirac mass matrices approximately equal to the quark mass matrices is studied. We calculate the renormalization group corrections to {theta}{sub 12} as well as to {theta}{sub 13} in the standard model (SM) and minimal supersymmetric standard model (MSSM). We find that in a large part of the parameter space corrections {delta}{theta}{sub 12} are small or negligible. In the MSSM version of the scenario, the correction {delta}{theta}{sub 12} is in general positive. Small negative corrections appear in the case of an inverted mass hierarchy and opposite CP parities of {nu}{sub 1} and {nu}{sub 2} when leading contributions to {theta}{sub 12} running are strongly suppressed. The corrections are negative in the SM version in a large part of the parameter space for values of the relative CP phase of {nu}{sub 1} and {nu}{sub 2}: {phi}>{pi}/2.},
doi = {10.1103/PHYSREVD.74.113003},
url = {https://www.osti.gov/biblio/20868073}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 74,
place = {United States},
year = {Fri Dec 01 00:00:00 EST 2006},
month = {Fri Dec 01 00:00:00 EST 2006}
}