arXiv subjects

Shu-jun Rong

Publications and source records attributed to Shu-jun Rong.

4 recordsLinked to original sources

arXiv2017

A novel mathematical construct for the family of leptonic mixing patterns

In order to induce a family of mixing patterns of leptons which accommodate the experimental data with a simple mathematical construct, we construct a novel object from the hybrid of two elements of a finite group with a parameter $θ$. This construct is an element of a mathematical structure called group-algebra. It could reduce to a generator of a cyclic group if $θ/2π$ is a rational number. We discuss a specific example on the base of the group $S_{4}$. This example shows that infinite cyclic groups could give the viable mixing patterns for Dirac neutrinos.

hep-ph↗

arXiv2017

Lepton mixing patterns from the group $Σ(36\times3)$ with a generalized CP transformation

The group $Σ(36\times3)$ with the generalized CP transformation is introduced to predict the mixing pattern of leptons. Various combinations of abelian residual flavor symmetries with CP transformations are surveyed. Six mixing patterns could accommodate the fit data of neutrinos oscillation at $3σ$ level. Among them, two patterns predict the nontrivial Dirac CP phase, around $\pm 57^{\circ}$ or $\pm 123^{\circ}$, which is in accordance with the result of the literature and the recent fit data. Furthermore, one pattern could satisfy the experimental constraints at $1σ$ level.

hep-ph↗

arXiv2016

Propose economical and stable lepton mass matrices with texture zeros

There are many viable combinations of texture zeros in lepton mass matrices. We propose an economical and stable mass texture. Analytical and numerical results on mixing parameters and the effective mass of neutrinos are obtained. These results satisfy new constraints from neutrinos oscillation experiments and cosmological observations. Our proposition reveals that in the complex forest of neutrinos mixing models, a simple and robust one is still possible.

hep-ph↗

arXiv2016

Lepton mixing patterns from combinations of elementary correlations

Recent data of reactor neutrino experiments set more stringent constraint on leptonic mixing patterns. We examine all possible patterns on the basis of combinations of elementary correlations of elements of leptonic mixing matrix. we obtain 62 viable mixing patters at 3$σ$ level of mixing parameters. Most of these patterns can be paired via the μ- interchange which changes the octant of $θ_{23}$ and the sign of $\cosδ$. All viable patterns can be classified into two groups: the perturbative patterns and non-perturbative patterns. The former can be obtained from perturbing TBM. The latter cannot be obtained from perturbing any mixing pattern whose $θ_{13}$ is zero. Different predictions of Dirac CP phase $δ$ of these two types of mixing patterns are discussed. Evolutions of mass matrices of neutrinos with small mixing parameters are discussed via special mixing patterns on the basis of flavor groups. In general cases, a small variation of $\sinθ_{13}$ may bring about large modifications to alignment of vacuum expectation values in a mixing model. Therefore, small but nonzero $\sinθ_{13}$ brings a severer challenge to leptonic mixing models on the basis of flavor groups than usual views.

hep-ph↗