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Title: Duality in Left-Right Symmetric Seesaw Mechanism

Abstract

We consider type I+II seesaw mechanism, where the exchanges of both right-handed neutrinos and isotriplet Higgs bosons contribute to the neutrino mass. Working in the left-right symmetric framework and assuming the mass matrix of light neutrinos m{sub {nu}} and the Dirac-type Yukawa couplings to be known, we find the triplet Yukawa coupling matrix f, which carries the information about the masses and mixing of the right-handed neutrinos. We show that in this case there exists a duality: for any solution f, there is a dual solution f-circumflex=m{sub {nu}}/v{sub L}-f, where v{sub L} is the vacuum expectation value of the triplet Higgs boson. Thus, unlike in pure type I (II) seesaw, there is no unique allowed structure for the matrix f. For n lepton generations the number of solutions is 2{sup n}. We develop an exact analytic method of solving the seesaw nonlinear matrix equation for f.

Authors:
 [1];  [2];  [3]
  1. Physik Department T30, Technische Universitaet Muenchen, James-Franck Strasse, D-85748 Garching (Germany)
  2. (Russian Federation)
  3. Department of Physics, University of California, Riverside, California 92521 (United States)
Publication Date:
OSTI Identifier:
20778606
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevLett.96.061802; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DUALITY; EQUATIONS; EXPECTATION VALUE; HIGGS BOSONS; MASS; MATHEMATICAL SOLUTIONS; NEUTRINO OSCILLATION; NEUTRINOS; NONLINEAR PROBLEMS; TRIPLETS; YUKAWA POTENTIAL

Citation Formats

Akhmedov, E.Kh., Kurchatov Institute, Moscow, and Frigerio, M.. Duality in Left-Right Symmetric Seesaw Mechanism. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.96.0.
Akhmedov, E.Kh., Kurchatov Institute, Moscow, & Frigerio, M.. Duality in Left-Right Symmetric Seesaw Mechanism. United States. doi:10.1103/PHYSREVLETT.96.0.
Akhmedov, E.Kh., Kurchatov Institute, Moscow, and Frigerio, M.. Fri . "Duality in Left-Right Symmetric Seesaw Mechanism". United States. doi:10.1103/PHYSREVLETT.96.0.
@article{osti_20778606,
title = {Duality in Left-Right Symmetric Seesaw Mechanism},
author = {Akhmedov, E.Kh. and Kurchatov Institute, Moscow and Frigerio, M.},
abstractNote = {We consider type I+II seesaw mechanism, where the exchanges of both right-handed neutrinos and isotriplet Higgs bosons contribute to the neutrino mass. Working in the left-right symmetric framework and assuming the mass matrix of light neutrinos m{sub {nu}} and the Dirac-type Yukawa couplings to be known, we find the triplet Yukawa coupling matrix f, which carries the information about the masses and mixing of the right-handed neutrinos. We show that in this case there exists a duality: for any solution f, there is a dual solution f-circumflex=m{sub {nu}}/v{sub L}-f, where v{sub L} is the vacuum expectation value of the triplet Higgs boson. Thus, unlike in pure type I (II) seesaw, there is no unique allowed structure for the matrix f. For n lepton generations the number of solutions is 2{sup n}. We develop an exact analytic method of solving the seesaw nonlinear matrix equation for f.},
doi = {10.1103/PHYSREVLETT.96.0},
journal = {Physical Review Letters},
number = 6,
volume = 96,
place = {United States},
year = {Fri Feb 17 00:00:00 EST 2006},
month = {Fri Feb 17 00:00:00 EST 2006}
}