English

Fermion Mass Hierarchy in the Nu MSGUT I : The Real Core

High Energy Physics - Phenomenology 2016-09-06 v1

Abstract

The recent failure of the scenario which uses only 10,\oot\mathbf{10,\oot} Higgs multiplets to yield large enough neutrino masses in the SO(10)\mathbf{SO(10) } \textbf{MSGUT} motivates an alternative scenario\cite{blmdoom} where the 120\mathbf{120} -plet collaborates with the 10 \mathbf{10} -plet to fit the dominant charged fermion masses. The small \oot\mathbf{\oot} -plet couplings give appreciable contributions only to light charged fermion masses {\textit{and}} enhance the Type I seesaw masses to viable values. We analyze the 2-3 generation core of the complete hierarchical fermion mass system in the CP conserving approximation. \emph{Ansatz} consistency \emph{requires} mbms=mτmμ{\mathbf{m_b-m_s = m_{\tau}-m_{\mu}}} at the GUT scale MXM_X and predicts near maximal (PMNS) mixing in the leptonic sector for central values of charged fermion parameters and for wide ranges of the other relevant parameters : righthanded neutrino masses and relative strength of contributions of the two doublet pairs from the 120\mathbf{120}-plet to the effective MSSM Higgs pair. These features are preserved in the CP preserving 3 generation system whose results are previewed : an additional consistency requirement θ13c=θ12cθ23c\mathbf{\theta_{13}^c =\theta_{12}^c \theta_{23}^c } on the CKM angles at MXM_X arises for 3 generations. Right handed neutrino masses in such scenarios are all less than about 1012GeV10^{12} GeV.

Keywords

Cite

@article{arxiv.hep-ph/0602132,
  title  = {Fermion Mass Hierarchy in the Nu MSGUT I : The Real Core},
  author = {Charanjit S. Aulakh},
  journal= {arXiv preprint arXiv:hep-ph/0602132},
  year   = {2016}
}

Comments

27 pages, 7 postscript figures