Determination of the mixing between active neutrinos and sterile neutrino through the quark-lepton complementarity and self-complementarity

Abstract

It is suggested that there is an underlying symmetry which relates the quark and lepton sectors. Namely, among the mixing matrix elements of CKM for quarks and PMNS for leptons there exist complementarity relations at a high energy scale (such as the see-saw or even the GUT scales). Assuming that the relations would remain during the matrix elements running down to the EW scale. Observable breaking of the rational relation is attributed to existence of sterile neutrinos which mix with the active neutrino to result in the observable PMNS matrix. We show that involvement of a sterile in the (3+1) model, induces that $|U_{e4}{|}^2=0.040$, $|U_{\mu 4}{|}^2=0.009$ and ${\sin }^{2}2\alpha =0.067$. We also find a new self-complementarity ${\vartheta }_{12}+{\vartheta }_{23}+{\vartheta }_{13}+\alpha \approx 90^{\circ }$. The numbers are generally consistent with those obtained by fitting recent measurements, especially in this scenario, the existence of a sterile neutrino does not upset the LEP data i.e. the number of neutrino types is very close to 3.

arXiv comment10 pages, Accepted by PRD

References in corpus (22)

• The Reactor Antineutrino Anomaly
• Are there sterile neutrinos at the eV scale?
• Neutrino Mixing and Quark-Lepton Complementarity
• Sterile neutrino oscillations after first MiniBooNE results
• Relation between the neutrino and quark mixing angles and grand unification
• A combined analysis of short-baseline neutrino experiments in the (3+1) and (3+2) sterile neutrino oscillation hypotheses
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Pragmatic View of Short-Baseline Neutrino Oscillations
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Discrete Flavour Groups, θ_13 and Lepton Flavour Violation
• Implications of 3+1 Short-Baseline Neutrino Oscillations
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Re-evaluation of neutrino mixing pattern according to latest T2K result
• Viability of $\Delta m^2\sim$ 1 eV${}^2$ sterile neutrino mixing models in light of MiniBooNE electron neutrino and antineutrino data from the Booster and NuMI beamlines
• Quark-lepton complementarity and self-complementarity in different schemes
• Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
• Constraining Sterile Neutrinos Using Reactor Neutrino Experiments
• Correlating lepton mixing angles and mixing matrix with Wolfenstein parameters
• Quark-lepton complementarity revisited
• Stability of Leptonic Self-complementarity
• New mixing pattern for neutrinos

Cited by in corpus (6)

• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Deviations in Tribimaximal Mixing From Sterile Neutrino Sector
• New mixing schemes for (3+1) neutrinos
• An $S_4$ model inspired from self-complementary neutrino mixing
• Implications of equalities among the elements of CKM and PMNS matrices
• The hidden symmetries in the PMNS matrix and the light sterile neutrino(s)