Investigating the Sterile Neutrino Parameters with QLC in 3 + 1 Scenario

Gazal Sharma,B C Chauhan

doi:10.1155/2019/4685198

Abstract

In the scenario with four generation quarks and leptons and using a 3+1 neutrino model having one sterile and the three standard active neutrinos with a 4×4 unitary transformation matrix, UPMNS4, we perform a model-based analysis using the latest global data and determine bounds on the sterile neutrino parameters i.e., the neutrino mixing angles. Motivated by our previous results, where, in a quark-lepton complementarity (QLC) model we predicted the values of θ13PMNS=9−2+2° and θ23PMNS=40.60−0.3+0.1°. In the QLC model the nontrivial correlation between CKM4 and PMNS4 mixing matrix is given by the correlation matrix Vc4. Monte Carlo simulations are performed to estimate the texture of Vc4 followed by the calculation of PMNS4 using the equation, UPMNS4=UCKM4·ψ4−1·Vc4, where ψ4 is a diagonal phase matrix. The sterile neutrino mixing angles, θ14PMNS, θ24PMNS and θ34PMNS are assumed to be freely varying between 0−π/4 and obtained results which are consistent with the data available from various experiments, like NovA, MINOS, SuperK, Ice Cube-DeepCore. In further investigation, we analytically obtain approximately similar ranges for various neutrino mixing parameters Uμ42 and Uτ42.

Highlights

A er the completion of a few decades since the birth of Neutrino Physics and its experimental world, we are at a stage where we have unraveled various mysteries, including very strong evidence of neutrinos being massive and the existence of neutrino oscillation, but there are many issues that still need to be resolved. e recent results from Daya Bay, CHOOZ, and other experiments [1,2,3,4,5] on the relatively large value of 13, a clear1st-order picture of the three avor lepton mixing matrix have emerged [6,7,8]
Since the quarks and leptons are fundamental constituents of matter and those of the Standard Model(SM), the complementarity between the two of them is seen as a consequence of some symmetry at high energy scale. is complementarity popularly named “Quark–Lepton Complementarity” (QLC) has been explored by several authors [9,10,11,12,13,14]. e relation is quite appealing to do the theory and phenomenology; it is still an open question, what kind of symmetry could be there between these fundamental particles of two sectors. e possible consequences of the QLC
For the generation of 4 × 4 matrix, di erent parametrizations were taken for formulation of 4 and all that is discussed in Section 2. e investigation of correlation matrix ( ), using Monte Carlo simulation is done in Section 3. 4 e PMNS matrix followed by the constrained values of sterile neutrino angles is obtained using the model equation in Section 4 along with the results obtained using the QLC model are compared with bounds given by the global data analysis and various experiments

Summary

Introduction

A er the completion of a few decades since the birth of Neutrino Physics and its experimental world, we are at a stage where we have unraveled various mysteries, including very strong evidence of neutrinos being massive and the existence of neutrino oscillation, but there are many issues that still need to be resolved. e recent results from Daya Bay, CHOOZ, and other experiments [1,2,3,4,5] on the relatively large value of 13 , a clear1st-order picture of the three avor lepton mixing matrix have emerged [6,7,8]. We do not comment upon or explain the generation of sterile neutrinos or the 4th generation quarks instead we have used the QLC model and done some numerical analysis to obtain bounds on the values of sterile neutrino parameters using previously formulated [32,33,34,35]. 4 e PMNS matrix followed by the constrained values of sterile neutrino angles is obtained using the model equation in Section 4 along with the results obtained using the QLC model are compared with bounds given by the global data analysis and various experiments. Possible consequences of QLC have been widely investigated in the literature and in particular, a simple correspondence between the PMNS and CKM matrices have been proposed and analysed in terms of a correlation matrix.

Numerical Simulation and Methodology

Parameters

Results

PMNS θ12

Conclusions