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 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 IMPLICATIONS OF THE UNITARITY TRIANGLE "uc" FOR J, δ AND |VCKM| ELEMENTS

2000 ◽  
Vol 15 (40) ◽  
pp. 2363-2372 ◽  
Author(s):  
MONIKA RANDHAWA ◽  
V. BHATNAGAR ◽  
P. S. GILL ◽  
M. GUPTA
Keyword(s):  
Matrix Elements ◽  
Unitarity Triangle ◽  
Ckm Matrix ◽  
Ckm Matrix Elements ◽  
Invariant Parameter

The Jarlskog rephasing invariant parameter |J| is evaluated using one of the six unitarity triangles involving well-known CKM matrix elements |Vud|, |Vus|, |Vub/Vcb|, |Vcd|, |Vcs|, and |Vcb|. With PDG2000 values of |Vud| etc. as input, we obtain |J|= (2.71±1.12)×10-5, which in the PDG representation of CKM matrix leads to the range 21° to 159° for the CP violating phase δ. The CKM matrix elements evaluated using this range of δ are in agreement with the PDG CKM matrix. The implications of refinements in the input on |J|, δ and CKM matrix elements have also been studied.

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 Approximate Sum Rules of CKM Matrix Elements from Quasi-Democratic Mass Matrices

1998 ◽  
Vol 99 (2) ◽  
pp. 281-291 ◽  
Author(s):  
I. S. Sogami ◽  
K. Nishida ◽  
H. Tanaka ◽  
T. Shinohara
Keyword(s):  
Sum Rules ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
Mass Matrices ◽  
Ckm Matrix Elements

scholarly journals IMPLICATIONS OF PRECISION MEASUREMENTS ON TEXTURE SPECIFIC FERMION MASS MATRICES

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3462-3468 ◽  
Author(s):  
MANMOHAN GUPTA ◽  
GULSHEEN AHUJA ◽  
ROHIT VERMA
Keyword(s):  
Precision Measurements ◽  
Fermion Mass ◽  
Neutrino Masses ◽  
Matrix Elements ◽  
Specific Mass ◽  
Inverted Hierarchy ◽  
Ckm Matrix ◽  
Zero Mass ◽  
Mass Matrices ◽  
Ckm Matrix Elements

Implications of texture specific mass matrices have been investigated for both quarks and neutrinos. Interestingly, for the case of quarks Fritzsch-like texture 4 zero mass matrices have been found to be compatible with the present precisely known sin 2β as well as other precise CKM matrix elements. In the case of leptonic mass matrices, for both Majorana and Dirac neutrinos we find that for texture 4, 5, 6 zero mass matrices the inverted hierarchy and degenerate scenarios of neutrino masses are ruled out by the present data.

CKM MATRIX ELEMENTS AND MAXIMALITY OF CP-VIOLATION

1998 ◽  
Vol 13 (30) ◽  
pp. 2445-2452 ◽  
Author(s):  
P. S. GILL ◽  
MANMOHAN GUPTA
Keyword(s):  
Cp Violation ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
Ckm Matrix Elements

Maximality of CP-violation is defined by maximizing the Jarlskog rephasing invariant |J| which is twice the area of any of the six unitarity triangles. When the area of two of the unitarity triangles is maximized w.r.t.|Vtd|, we obtain |Vtd|=(8.5-10.2)×10-3 and CP violating phase δ=60°-168°. Two well-known triangles yield J expt =(2.2-3.7)×10-5 which leads to δ = 33°-146° and |Vtd|=(5.6-13.1)×10-3. When the constraints due to "maximality" and J expt are considered simultaneously, we obtain |Vtd|=(8.5-10.2)×10-3 and δ=60°-136°.

scholarly journals Progress on semi-leptonic B(s) decays

2014 ◽  
Vol 29 (20) ◽  
pp. 1430019 ◽  
Author(s):  
Giulia Ricciardi
Keyword(s):  
Rare Decays ◽  
Current Status ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
The Absolute ◽  
Ckm Matrix Elements

We report on the current status of semi-leptonic B(s) decays, including rare decays, and the extraction of the absolute values of the CKM matrix elements |Vcb| and |Vub|.

Sign in / Sign up

Export Citation Format

Share Document