As a result, the flavored leptogenesis is successfully realized. We also investigate how the effective light neutrino mass |hmeei| associated with neutrinoless double beta decay can be predicted by imposing the experimental data on the low energy observables. We find a link between the leptogenesis and the neutrinoless double beta decay characterized by |hmeei| through a high energy CP phase φ, which is correlated with the low energy Majorana CP phases. | Communications in Physics, Vol. 24, No. 1 (2014), pp. 9-19 LEPTOGENESIS IN A 4 FLAVOR SYMMETRY MODEL BY RENORMALIZATION GROUP EVOLUTION NGUYEN THANH PHONG Department of Physics, Can Tho University, Can Tho city, Vietnam E-mail: thanhphong@ Received 11 April 2014 Accepted for publication 26 April 2014 Abstract. We study how leptogenesis can be implemented in the seesaw models with A4 flavor symmetry, which lead to the tri-bimaximal neutrino mixing matrix. By considering renormalzation group evolution from a high energy scale of flavor symmetry breaking (the GUT scale is assumed) to the low energy scale of relevant phenomena, the off-diagonal terms in a combination of Dirac Yukawa-coupling matrix can be generated. As a result, the flavored leptogenesis is successfully realized. We also investigate how the effective light neutrino mass |hmee i| associated with neutrinoless double beta decay can be predicted by imposing the experimental data on the low energy observables. We find a link between the leptogenesis and the neutrinoless double beta decay characterized by |hmee i| through a high energy CP phase φ, which is correlated with the low energy Majorana CP phases. It is shown that the predictions of |hmee i| for some fixed parameters of the high energy physics can be constrained by the current observation of baryon asymmetry. Keywords: seesaw mechanism, leptogenesis, renormalization group. I. INTRODUCTION The evidence of neutrino oscillations absolutely confirmed that neutrinos have tiny mass and they are mixing. Based on neutrino experimental data, in 2002, P. F. Harrison et al. [1] proposed the structure of lepton mixing matrix which named Tri-bimaximal (TBM). According to this structure, the reactor mixing angle, θ13 , is zero and the Dirac CP violating phase is also absent. Subsequently, there were a lot of efforts to find a natural model that leads to TBM mixing pattern of leptons, and a fascinating way seems to be the use of some discrete .
