Symmetric Mass Matrix with Two Zeros in SUSY SO(10) GUT, Lepton Flavor Violations and Leptogenesis

Abstract

We study the symmetric 2-zero texture of the neutrino mass matrix, which is obtained from the symmetric Dirac neutrino mass matrix with 2 zeros and the right-handed Majorana neutrino mass matrix with general form via the seesaw mechanism, for the SUSY SO(10) GUT model including the Pati-Salam symmetry. We show that the only texture in our model, having a degenerate mass spectrum for the 1st and 2nd generation of the right-handed Majorana neutrino, can simultaneously account for the current neutrino experimental data, lepton flavor violating processes and the baryon asymmetry of the universe. Within such a framework, the predicted values of the light and heavy Majorana neutrino masses, together with |U e3 |, J CP and | M ee |, are almost uniquely determined. * ) Greiner used this configuration in the five-zero texture. Our model is different from their model with regard to this point. * ) The other possibility, that is, the effect of the deviation from m c in the 2-2 element of M u , is discussed in Appendix C.

Linking leptonic CP violation to quark unitarity triangle

“…(2.31) [30][31][32][33]. In order to link the lepton mass matrices to the quark mass matrices, we consider the SO(10) GUT, which is broken down to the SM gauge group through the Pati-Salam symmetry [36,37]. In this setup, the quark Yukawa matrices Y d , Y u , the charged lepton Yukawa matrix Y e and the Dirac neutrino Yukawa matrix Y ν are symmetric ones, and…”

“…Actually, one of the authors has examined the mixing angles of both quarks and the leptons in the SO(10) GUT including the Pati-Salam symmetry [36,37]. In this paper, we predict the leptonic CP violating phase in terms of the unitarity triangle of quarks…”

Interplay between $μ$-$τ$ reflection symmetry, four-zero texture and universal texture

“…In this paper, we consider exact µ − τ reflection symmetries for quarks and leptons. By a bi-maximal transformation, the four-zero textures [16][17][18][19][20][21][22] lead to a µ − τ reflection symmetric form in a particular basis. In this basis, up-and down-type mass matrices from four-zero texture separately satisfy exact µ − τ reflection symmetries, and it predicts the maximal CP violation in the Fritzsch -Xing parameterization [23].…”

Big-bang nucleosynthesis and leptogenesis in the CMSSM

“…We aim to examine this model through searches of the longlived charged particles at the LHC and lepton flavor violation (see, e.g., Refs. [14,[33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]) at MEG-II, Mu3e and Belle-II experiments. This paper is organized as follows.…”