Quark mixing angles and CP-violating phase from flavor permutational symmetry breaking

2000 ◽  
Author(s):  
A. Mondragón
Keyword(s):  
Symmetry Breaking ◽  
Permutational Symmetry ◽  
Mixing Angles ◽  
Quark Mixing

EXPERIMENTAL DETERMINATION OF THE QUARK MIXING ANGLES

1991 ◽  
Vol 06 (18) ◽  
pp. 3293-3320 ◽  
Author(s):  
G. LÓPEZ CASTRO
Keyword(s):  
Experimental Data ◽  
Symmetry Breaking ◽  
Current Status ◽  
Flavor Symmetry ◽  
Matrix Elements ◽  
Mixing Angles ◽  
Decay Properties ◽  
Quark Mixing ◽  
Exclusive Decay

We review the current status of the determination of the quark mixing angles |Vqq′|, where q=u, c; q′=d, s, b. We consider essentially exclusive decay processes, taking into account the main sources of uncertainties, the available calculations of flavor symmetry breaking for hadronic matrix elements and the possibilities of improvement offered by new experimental results. In some cases we provide full expressions for |Vqq′| in terms of measurable decay properties, which can be useful for new experimental data. Finally, we discuss briefly the effects on the unitarity tests of the Cabibbo-Kobayashi-Maskawa matrix when we consider recent corrections to the determination of |Vud|.

Natural flavor conservation in Higgs induced neutral currents and the quark mixing angles

1980 ◽  
Vol 163 ◽  
pp. 221-253 ◽  
Author(s):  
R. Gatto ◽  
G. Morchio ◽  
G. Sartori ◽  
F. Strocchi
Keyword(s):  
Neutral Currents ◽  
Mixing Angles ◽  
Quark Mixing

Quark Mixing Angles and Weak Decays

2019 ◽  
pp. 283-294
Author(s):  
Michael E. Peskin
Keyword(s):  
Weak Interaction ◽  
Time Reversal ◽  
Particle Physics ◽  
General Scheme ◽  
Theory Model ◽  
Cabibbo Angle ◽  
Mixing Angles ◽  
Weak Decays ◽  
Quark Mixing ◽  
The Standard Model

This chapter presents the extension of the gauge theory model of the weak interaction to describe the weak interaction decays of quarks. It introduces the Cabibbo angle and the more general scheme of CKM mixing. It describes the realization of parity, CP, and time reversal symmetries in a general theory of quark mixing. Finally, it pulls all of the strands of previous chapters together to write the full set of equations of the Standard Model of particle physics.

scholarly journals θ13, μτ SYMMETRY BREAKING AND NEUTRINO YUKAWA TEXTURES

2013 ◽  
Vol 28 (24) ◽  
pp. 1350118 ◽  
Author(s):  
BISWAJIT ADHIKARY ◽  
AMBAR GHOSAL ◽  
PROBIR ROY
Keyword(s):  
Symmetry Breaking ◽  
Neutrino Mass ◽  
Charged Lepton ◽  
Heavy Neutrino ◽  
Type I ◽  
Mixing Angles ◽  
Order Analysis ◽  
A Value ◽  
Mass Matrices ◽  
Best Fit

Within the type-I seesaw and in the basis where charged lepton and heavy neutrino mass matrices are real and diagonal, μτ symmetric four and three zero neutrino Yukawa textures are perturbed by lowest order μτ symmetry breaking terms. These perturbations are taken to be the most general ones for those textures. For quite small values of those symmetry breaking parameters, permitting a lowest order analysis, current best-fit ranges of neutrino mass squared differences and mixing angles are shown to be accommodable, including a value of θ13 in the observed range, provided all the light neutrinos have an inverted mass ordering.

Quark mixing angles for composite quarks in a Bethe-Salpeter model

1984 ◽  
Vol 29 (5) ◽  
pp. 1022-1025
Author(s):  
S. N. Biswas ◽  
S. R. Choudhury ◽  
K. Datta ◽  
Ashok Goyal
Keyword(s):  
Mixing Angles ◽  
Quark Mixing

GENERAL STUDY OF QUARK MASS MATRICES WITH FULL OFF-DIAGONAL MIXING

1992 ◽  
Vol 07 (25) ◽  
pp. 6357-6370 ◽  
Author(s):  
ROBERT E. SHROCK
Keyword(s):  
Quark Mass ◽  
Mass Matrix ◽  
General Study ◽  
Mixing Angles ◽  
Quark Masses ◽  
Rotation Matrices ◽  
Quark Mixing ◽  
Down Quark ◽  
Mass Matrices ◽  
Mixing Matrix

We study an ansatz for the quark mass matrix in which all of the nondiagonal entries are nonzero, but which still allows the quark mixing angles to be calculated in terms of ratios of quark masses and certain phases. Analytic calculations of the orthogonal rotation matrices in the up and down quark sectors and the resultant observed quark mixing matrix are presented. Comparison with experimental data is given.

WHAT DOES μ - τ SYMMETRY IMPLY ABOUT LEPTONIC CP VIOLATION?

2007 ◽  
Vol 16 (05) ◽  
pp. 1373-1381 ◽  
Author(s):  
TEPPEI BABA
Keyword(s):  
Experimental Data ◽  
Cp Violation ◽  
Symmetry Breaking ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Mass Difference ◽  
Atmospheric Neutrino ◽  
Symmetric Part ◽  
Neutrino Mixing ◽  
Mixing Angles

The μ - τ symmetry can reproduce the consistent results with experimental data of θ13, and θ23 (θ13, and θ23 respectively denote the νe - ντ, and νμ - ντ, mixing angles). However, we can not address the issue of the leptonic CP violation in μ - τ symmetric models. So we add the μ - τ symmetry breaking part to include the CP violation. We characterize leptonic CP violation in terms of three phases, where one is conventional phase δ and others are additional phases ρ and γ. These δ, ρ and γ are, respectively, the phases of νe - ντ, νe - νμ and νμ - ντ mixings. The ρ and γ are redundant but the effect of ρ remains in the leptonic CP violation which is characterized by δ + ρ. The δ arises from the μ - τ symmetry breaking part of the Meμ and Meτ while ρ arises from of μ - τ symmetric part of the Meμ and Meτ, where Mij stands for ij (i,j = e,μ,τ) element of M(= [Formula: see text] for Mν being a flavor neutrino mass matrix). Moreover, θ23 can be exactly estimated to be: [Formula: see text] ( sin θ ∝ sin θ13 cos (δ + ρ)[Formula: see text], sin ϕ ∝ Mμμ - Mττ, where [Formula: see text] is the solar neutrino mass difference squared). The conditions of maximal atmospheric neutrino mixing are given by [Formula: see text] and Mμμ = Mττ,which indicate maximal Dirac CP violation.

scholarly journals Sum rules for leptons

2016 ◽  
Vol 31 (17) ◽  
pp. 1630021 ◽  
Author(s):  
Martin Spinrath
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Wide Class ◽  
Sum Rules ◽  
The Other ◽  
Neutrino Masses ◽  
Mixing Angles ◽  
The One ◽  
Dynamical Description ◽  
The Impact

There is a wide class of models which give a dynamical description of the origin of flavor in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing angles and the Dirac CP phase with each other and/or on the other hand neutrino masses and Majorana phases with each other. We will briefly sketch how this happens and discuss briefly the impact of renormalization group corrections to the mass sum rules.

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