Lepton flavor violation as a probe of quark-lepton unification

Abstract

The recent measurements of the solar neutrino mixing angle θ sol and the Cabibbo mixing angle θ C reveal a surprising relation, θ sol + θ C ≃ π 4 . Interpreting this empirical relation as a support of the quark-lepton unification, we find that the PMNS mixing matrix can be decomposed into a CKM-like matrix and maximal mixing matrices, which can give profound implications on the quarklepton unification. We explore a possibility to probe the implication of quark-lepton unification by considering the relative sizes of branching ratios for the lepton flavor violating radiative decay processes, l i → l j γ, in the context of the supersymmetric standard model with heavy right-handed Majorana neutrinos.

Quark–lepton complementarity with lepton and quark mixing data predict θ13 PMNS=(9+1 -2)°

“…Since in supersymmetric models with tan β ≤ 40 radiative corrections are small [25,26,27,28], this relation can in such cases be used at low energy as in the present paper. Hence if future dedicated experiments exclude θ P M N S 13 ≃ 9…”

Possible alternatives to tri-bimaximal mixing

“…5 Sometimes a Georgi-Jarlskog factor of 6 Seesaw realizations of QLC scenarios are studied in detail in [40]. Table 2: Predictions for sin 2 θ 12 , sin 2 θ 23 , and sin 2 θ 13 = |U e3 | 2 for the different mixing scenarios considered.…”

Correlation between lepton flavor violation and B(d,s)–B¯(d,Cheung1, Kang2, Kim3 et al. 2007Physics Letters BSelf Cite12080View full textAdd to dashboardCite

“…Br(τ −→eγ) may lead to an implication on the parametrization of neutrino mixing matrix with regard to quark-lepton unification [17]. As shown in Ref.…”

“…(13). As discussed in [17], the LFV processes in SUSY GUT models can provide a probe of quark-lepton unification. Thus, combining the idea proposed in [17] with the analysis based on B q mixing, we can further probe quark-lepton unification.…”

“…As discussed in [17], the LFV processes in SUSY GUT models can provide a probe of quark-lepton unification. Thus, combining the idea proposed in [17] with the analysis based on B q mixing, we can further probe quark-lepton unification. The contribution to the branching fractions of the LFV decays due to the slepton mass term is roughly given by [15] …”