A SIMPLE ANSATZ RELATING ALL MIXING ANGLES TO QUARK MASS RATIOS

1991 ◽  
Vol 06 (24) ◽  
pp. 2243-2247 ◽  
Author(s):  
DANIEL NG ◽  
Y. JACK NG
Keyword(s):  
Cp Violation ◽  
Quark Mass ◽  
Matrix Elements ◽  
Mixing Angles ◽  
Mass Matrices ◽  
Mass Ratios

A simple ansatz for quark mass matrices which yields the Kac–Moody (KM) matrix elements, [Formula: see text], Vcb = ms/mb, and [Formula: see text], is investigated, resulting in two empirical identities, md/ms = ms/mb and mu/mc = mc/mt. Using Vub = 0.004 ± 0.002, we obtain mt = (290 ± 140) GeV . We find that this prediction is consistent with other processes, such as [Formula: see text] mixing. The invariant quantity, J, of CP violation is of the order 3 × 10−5 in agreement with experiments.

scholarly journals FRITZSCH-LIKE QUARK MASS MATRICES WITH DECOUPLED u QUARK

1994 ◽  
Vol 09 (26) ◽  
pp. 2461-2467 ◽  
Author(s):  
P.S. GILL ◽  
MANMOHAN GUPTA
Keyword(s):  
Cp Violation ◽  
Quark Mass ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
Mass Matrices ◽  
Ckm Matrix Elements ◽  
Invariant Parameter

Fritzsch-like Hermitian quark mass matrices with decoupled u quark as well as nonzero 22-elements, both in ‘U’ and ‘D’ sectors, have been considered to reconcile the data regarding [Formula: see text] and CKM matrix elements. Exploiting the idea of maximality of CP-violation, we find two interesting relations between CKM matrix elements, viz. |Vtd|≅ |Vus||Vcb|, |Vub|≅ ½(ms/ mb)|Vus|. Apart from obtaining 0.05≤|Vub/Vcb|≤0.12 and [Formula: see text], we find CP-violating rephasing invariant parameter |J|≅(3–5)×10−5. The predicted |Vtd| value implies almost maximal mixing in [Formula: see text] system.

scholarly journals QUARK MASS MATRIX WITH A STRUCTURE OF A RANK-ONE MATRIX PLUS A UNIT MATRIX

1995 ◽  
Vol 10 (04) ◽  
pp. 289-294 ◽  
Author(s):  
HIDEO FUSAOKA ◽  
YOSHIO KOIDE
Keyword(s):  
Matrix Model ◽  
Charged Lepton ◽  
Quark Mass ◽  
Mass Matrix ◽  
Matrix Elements ◽  
Unit Matrix ◽  
Down Quark ◽  
Mass Matrices ◽  
Mass Ratios ◽  
Rank One

A quark mass matrix model [Formula: see text] is proposed where [Formula: see text] and Oq is a unit matrix plus a rank-one matrix. Up- and down-quark mass matrices Mu and Md are described in terms of charged lepton masses and additional three parameters (one in Mu and two in Md). The model can predict reasonable quark mass ratios (not only mu/mc, mc/mt, md/ms and ms/mb, but also mu/md) and Kobayashi–Maskawa matrix elements.

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.

scholarly journals A NEW APPROACH TO THE PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX

2001 ◽  
Vol 16 (09) ◽  
pp. 1645-1652 ◽  
Author(s):  
V. GUPTA
Keyword(s):  
Cp Violation ◽  
Linear Combination ◽  
Quark Mass ◽  
New Approach ◽  
Ckm Matrix ◽  
Unit Matrix ◽  
Mass Matrices ◽  
The Matrix ◽  
Special Case

The CKM-matrix V is written as a linear combination of the unit matrix I and a matrix U which causes intergenerational-mixing. It is shown that such a V results from a class of quark-mass matrices. The matrix U has to be Hermitian and unitary and therefore can depend at most on four real parameters. The available data on the CKM-matrix including CP-violation can be reproduced by [Formula: see text]. This is also true for the special case when U depends on only 2 real parameters. Also, for such a V the invariant phase Φ≡ϕ12+ϕ23-ϕ13, satisfies a criterion suggested for "maximal" CP-violation.

scholarly journals Predictions for the Dirac CP violation phase in the neutrino mixing matrix

2015 ◽  
Vol 30 (13) ◽  
pp. 1530035 ◽  
Author(s):  
S. T. Petcov ◽  
I. Girardi ◽  
A. V. Titov
Keyword(s):  
Cp Violation ◽  
Sum Rules ◽  
Current Data ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Flavor Symmetries ◽  
Minimal Form ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Matrix Formula

Using the fact that the neutrino mixing matrix [Formula: see text], where Ue and Uν result from the diagonalization of the charged lepton and neutrino mass matrices, we analyze the predictions based on the sum rules which the Dirac phase δ present in U satisfies when Uν has a form dictated by, or associated with, discrete flavor symmetries and Ue has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to Uν, so that the reactor, atmospheric and solar neutrino mixing angles θ13, θ23 and θ12 have values compatible with the current data.

scholarly journals Quark mass matrices, textures and CKM precision measurements

2017 ◽  
Vol 32 (25) ◽  
pp. 1750151 ◽  
Author(s):  
Rohit Verma
Keyword(s):  
Quark Mass ◽  
Mass Matrix ◽  
Precision Measurements ◽  
Physical Parameters ◽  
Model Framework ◽  
Ckm Matrix ◽  
Mixing Angles ◽  
Mixing Parameters ◽  
Mass Matrices ◽  
Model Independent

In the light of several recent analyses pointing toward texture 4-zero Fritzsch-like quark mass matrices as the only viable structures for quark mass matrices, this work adopts a model independent approach to reconstruct an alternate and simplified structure of texture specific quark mass matrices in a generalized “[Formula: see text]-diagonal” basis within the Standard Model framework using the unitarity of CKM matrix and the observed hierarchies in quark mass spectra and mixing angles. It is observed that the measured [Formula: see text] values of the three physical parameters namely [Formula: see text], [Formula: see text] and [Formula: see text] naturally lead to the vanishing of (11) element in the down type quark mass matrix and that the single measurable CP violating phase [Formula: see text] in the CKM matrix is sufficient enough in [Formula: see text] to explain the observed mixing pattern in a suitable basis. The leading order as well as exact analytic phenomenological solutions are addressed for the modest pattern of quark mass matrices derived from CKM matrix and precision measurements of mixing parameters.

scholarly journals FLAVOR SYMMETRIES, NEUTRINO MASSES AND NEUTRINO MIXING

2008 ◽  
Vol 23 (21) ◽  
pp. 3179-3182 ◽  
Author(s):  
HARALD FRITZSCH
Keyword(s):  
Cp Violation ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Mass Ratio ◽  
Mixing Angle ◽  
Flavor Symmetries ◽  
Mass Matrices ◽  
Mass Ratios

We discuss the neutrino mixing, using the texture 0 mass matrices, which work very well for the quarks. The solar mixing angle is directly linked to the mass ratio of the first two neutrinos. The neutrino masses are hierarchical, but the mass ratios turn out to be much smaller than for quarks. The atmospheric mixing angle is 38°. The CP violation for leptons should be much smaller than for quarks.

scholarly journals FLAVOR MIXING, QUARK MASSES, NEUTRINO MASSES AND NEUTRINO OSCILLATIONS

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3354-3358 ◽  
Author(s):  
H. FRITZSCH
Keyword(s):  
Neutrino Masses ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Quark Masses ◽  
Mass Matrices ◽  
Mass Ratios ◽  
Flavor Mixing ◽  
Eigen Values ◽  
Charged Leptons ◽  
The Masses

We study a model for the mass matrices of the quarks and leptons. Two of the three flavor mixing angles of the quarks can be calculated in terms of the quark mass ratios. They agree very well with the experiments. We are able to relate the mass eigen values of the charged leptons and of the neutrinos to the mixing angles and can predict the masses of the neutrinos. We find a normal hierarchy -the masses are 0.004 eV, 0.01 eV and 0.05 eV. The atmospheric mixing angle is given by the mass ratios of the charged leptons and the neutrinos. We find 38 degrees, consistent with the experiments. The mixing element, connecting the first neutrino with the electron, is found to be 0.05.

scholarly journals The strong CP problem and discrete symmetries

2015 ◽  
Vol 30 (19) ◽  
pp. 1530014 ◽  
Author(s):  
Martin Spinrath
Keyword(s):  
Cp Violation ◽  
Discrete Symmetries ◽  
Quark Mass ◽  
Unitarity Triangle ◽  
Quark Sector ◽  
Mass Matrices

We discuss a possible solution to the strong CP problem which is based on spontaneous CP violation and discrete symmetries. At the same time we predict in a simple way the almost right-angled quark unitarity triangle angle [Formula: see text] by making the entries of the quark mass matrices either real or imaginary. To prove the viability of our strategy we present a toy flavour model for the quark sector.

Sign in / Sign up

Export Citation Format

Share Document