scholarly journals μ − τ reflection symmetry and its explicit breaking for leptogenesis in a minimal seesaw model

2019 ◽  
Vol 34 (39) ◽  
pp. 1950329 ◽  
Author(s):  
Newton Nath

The minimal seesaw framework, embroiling the Dirac neutrino mass matrix [Formula: see text] and the Majorana neutrino mass matrix [Formula: see text], is quite successful to explain the current global-fit results of neutrino oscillation data. In this context, we consider the most predictive forms of [Formula: see text] and [Formula: see text] with two simple parameters, respectively. Considering these matrices, we obtain the low-energy neutrino mass matrix under type-I seesaw formalism which obeys [Formula: see text] reflection symmetry and predicts [Formula: see text] and [Formula: see text]. In the given set-up, we also evaluate the Baryon Asymmetry of the Universe (BAU) through successful leptogenesis and find that perturbation of [Formula: see text] leads to the observed BAU and breaks exactness of the symmetry. Moreover, we also perform various correlation studies among different parameters in the framework of broken symmetry.

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Madan Singh ◽  

Abstract We re-examine the weak basis invariants at low energies proposed by C. Jarlskog and Branco et al. in their earlier analyses, after confronting them with the assumptions of two zeros and an equality between arbitrary non-zero elements in the Majorana neutrino mass matrix in the flavored basis. This particular conjecture is found to be experimentally feasible, as shown by S. Dev and D. Raj in their recent work. The present analysis attempts to find the necessary and sufficient condition for CP invariance for each experimentally viable ansatz pertaining to the model, along with some important implications.


2006 ◽  
Vol 21 (25) ◽  
pp. 1917-1921 ◽  
Author(s):  
ERNEST MA

The discrete subgroup Δ(27) of SU(3) has some interesting properties which may be useful for understanding charged-lepton and neutrino mass matrices. Assigning leptons to the 3 and [Formula: see text] representations of Δ(27), a simple form of the Majorana neutrino mass matrix is obtained and compared to present data.


2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Debasish Borah ◽  
Monojit Ghosh ◽  
Shivani Gupta ◽  
Sushant K. Raut

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Madan Singh

In the light of latest neutrino oscillation data, we have investigated the one-zero Majorana neutrino mass matrix Mν with zero sum condition of mass eigenvalues in the flavor basis, where charged lepton mass matrix is diagonal. Among the six possible one-zero cases, it is found that only five can survive the current experimental data, while case with (1, 1) vanishing element of Mν is ruled out, if zero trace condition is imposed at 3σ confidence level (CL). Numerical and some approximate analytical results are presented.


Sign in / Sign up

Export Citation Format

Share Document