Duality in Left-Right Symmetric Seesaw Mechanism

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dc.creatorAkhmedov, E. Kh.
dc.creatorFrigerio, M.
dc.date2005-09-27
dc.date2006-03-07
dc.date.accessioned2026-07-07T10:44:23Z
dc.date.available2026-07-07T10:44:23Z
dc.descriptionWe 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 $m_ν$ 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 $\hat{f}=m_ν/v_L-f$, where $v_L$ is the VEV of the triplet Higgs. 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 $2^n$. We develop an exact analytic method of solving the seesaw non-linear matrix equation for $f$.
dc.description4 pages, revtex, small clarifications added, title changed to match published version
dc.identifierhttps://arxiv.org/abs/hep-ph/0509299
dc.identifierhttp://arxiv.org/abs/hep-ph/0509299
dc.identifierPhys.Rev.Lett.96:061802,2006
dc.identifierdoi:10.1103/PhysRevLett.96.061802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182572
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectHigh Energy Physics - Theory
dc.titleDuality in Left-Right Symmetric Seesaw Mechanism
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