Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-09-27
Phys.Rev.Lett.96:061802,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, revtex, small clarifications added, title changed to match published version
Scientific paper
10.1103/PhysRevLett.96.061802
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 $m_\nu$ 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 $\hat{f}=m_\nu/v_L-f$, 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 $f$.
Akhmedov Eugene Kh.
Frigerio Michele
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