Abstract
We investigate the comparative studies of cosmological baryon asymmetry in different neutrino mass models with and withoutθ13by considering the three-diagonal form of Dirac neutrino mass matrices and the three aspects of leptogenesis, unflavoured, flavoured, and nonthermal. We found that the estimations of any models withθ13are consistent in all the three stages of calculations of leptogenesis and the results are better than the predictions of any models withoutθ13which are consistent in a piecemeal manner with the observational data in all the three stages of leptogenesis calculations. For the normal hierarchy of Type-IA with charged lepton matrix, model with and withoutθ13predicts inflaton mass required to produce the observed baryon asymmetry to beMϕ~2.2×1011 GeV andMϕ~3.6×1010 GeV, and the corresponding reheating temperatures areTR~4.86×106 GeV andTR~4.50×106 GeV respectively. These predictions are not in conflict with the gravitino problem which required the reheating temperature to be below107 GeV. And these values apply to the recent discovery of Higgs boson of mass~125 GeV. One can also have the right order of relic dark matter abundance only if the reheating temperature is bounded to below107 GeV.
Highlights
Recent measurement of a moderately large value of the third mixing angle θ13 by reactor neutrino oscillation experiments around the world by Daya Bay (sin2θ13 = 0.089 ± 0.010(stat) ± 0.005(syst)) [1] and RENO (sin2θ13 = 0.113 ± 0.013(stat) ± 0.019(syst)) [2] signifies an important breakthrough in establishing the standard three-flavour oscillation picture of neutrinos
Our calculation for all the models either with or without θ13 shows that it is strong washout m1(or m) > m∗ and M1 ≤ 1012 GeV, the baryon asymmetry is generated at a temperature TR(106 GeV) < M1(109 GeV) for normal hierarchy (NH)-IA model
We have investigated the comparative studies of baryon asymmetry in different neutrino mass models with and without θ13 for tan2θ12, and we found that models with θ13 are better than models without θ13
Summary
In order to have the correct order of light neutrino masssquared differences, there is a lower bound on the mass of the right-handed neutrino, MN ≥ 109 GeV [16,17,18,19], which in turn put constraints on reheating temperature after inflation to be TR ≥ 109 GeV This will lead to an excessive gravitino production and conflicts with the observed data. In [32, 33] using the ClosedTime-Path approach, they performed a systematic leading order calculation of the relaxation rate of flavour correlations of left-handed standard model leptons; and for flavoured leptogenesis in the early universe they found the reheating temperature to be TR = 107 GeV to 1013 GeV.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
