scholarly journals CKM matrix: the ‘over-consistent’ picture of the unitarity triangle

2001 ◽  
Vol 462 (1-2) ◽  
pp. 313-317 ◽  
Author(s):  
Pietro Faccioli
Keyword(s):  
Unitarity Triangle ◽  
Ckm Matrix ◽  
Consistent Picture

scholarly journals Predictions for the Unitarity Triangle Angles in a New Parametrization

2003 ◽  
Vol 18 (26) ◽  
pp. 1825-1834 ◽  
Author(s):  
S. Chaturvedi ◽  
Virendra Gupta
Keyword(s):  
Cp Violation ◽  
Linear Combination ◽  
Excellent Agreement ◽  
Belle Collaboration ◽  
Isosceles Triangle ◽  
Unitarity Triangle ◽  
New Approach ◽  
Ckm Matrix ◽  
Unit Matrix ◽  
A Value

A new approach to the parametrization of the CKM matrix, V, is considered in which V is written as a linear combination of the unit matrix I and a nondiagonal matrix U which causes inter-generational-mixing, that is V = cos θ I + i sin θ U. Such a V depends on three real parameters including the parameter θ. It is interesting that a value of θ = π/4 is required to fit the available data on the CKM-matrix including CP-violation. Predictions of this fit for the angles α, β and γ for the unitarity triangle corresponding to [Formula: see text], are given. For θ = π/4, we obtain α = 88.46°, β = 45.046° and γ = 46.5°. These values are just about in agreement, within errors, with the present data. It is very interesting that the unitarity triangle is expected to be approximately a right-angle, isosceles triangle. Our prediction sin 2β = 1 is in excellent agreement with the value 0.99 ± 0.15 ± 0.05 reported by the Belle collaboration at the Lepton–Photon 2001 meeting.

CP VIOLATION IN B-MESON DECAYS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 385-398
Author(s):  
KLAUS R. SCHUBERT
Keyword(s):  
Cp Violation ◽  
B Meson ◽  
Unitarity Triangle ◽  
Short Introduction ◽  
B Meson Decays ◽  
Ckm Matrix ◽  
Meson Decays ◽  
Babar Experiment ◽  
Cp Asymmetries

After a short introduction on CP asymmetries in K and B meson decays, I discuss a few recent results related to CP violation, mainly from the BABAR experiment: CPT tests in [Formula: see text] mixing, search for CP violation in [Formula: see text] and [Formula: see text] decays, and measurements of the unitarity-triangle angle α in B →ππ and B →ρρ decays. I conclude with the result of a CKM-matrix fit to all relevant observations.

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.

scholarly journals GLOBAL FITS TO THE CABIBBO–KOBAYASHI–MASKAWA MATRIX: UNITARITY CONDITION METHOD VERSUS STANDARD UNITARITY TRIANGLES APPROACH

2005 ◽  
Vol 20 (23) ◽  
pp. 1709-1721 ◽  
Author(s):  
PETRE DITA
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Fine Tuning ◽  
Unitarity Condition ◽  
Matrix Elements ◽  
Unitarity Triangle ◽  
Simple Criterion ◽  
Ckm Matrix ◽  
Condition Method ◽  
Global Fit

The aim of the paper is to make a comparison between the unitarity condition method and the standard version of the unitarity triangle approach by using as parameters four independent moduli |Uij|. This choice is motivated by the measurability property and leads to a simple criterion for the separation of unistochastic matrices from the double stochastic ones, whose fulfillment is the key point of any global fit for the CKM entries. In our formulation both the methods are exact, do not depend on any assumption as the smallness of some parameter and both can be used to global fits in the quark and fermion sectors. Monte Carlo simulations show that the separation criterion puts very strong conditions requiring a fine tuning of all the CKM matrix elements.

An up-to-date determination of the CKM matrix elements and of the unitarity triangle on the basis of the available experimental results

1999 ◽  
Vol 112 (10) ◽  
pp. 1229-1237
Author(s):  
M. Bargiotti ◽  
A. Bertin ◽  
M. Bruschi ◽  
M. Capponi ◽  
S. de Castro ◽  
...  
Keyword(s):  
Experimental Results ◽  
Matrix Elements ◽  
Unitarity Triangle ◽  
Ckm Matrix ◽  
Ckm Matrix Elements

scholarly journals The CKM Matrix and The Unitarity Triangle: Another Look

2003 ◽  
Vol 2003 (01) ◽  
pp. 029-029 ◽  
Author(s):  
Andrzej J Buras ◽  
Fabrizio Parodi ◽  
Achille Stocchi
Keyword(s):  
Unitarity Triangle ◽  
Ckm Matrix

scholarly journals Test of the fourth quark generation from the Cabibbo–Kobayashi–Maskawa matrix

2021 ◽  
pp. 2150110
Author(s):  
S. R. Juárez Wysozka ◽  
P. Kielanowski
Keyword(s):  
New Physics ◽  
Good Choice ◽  
Fourth Generation ◽  
Complex Conjugate ◽  
Unitarity Triangle ◽  
Ckm Matrix ◽  
Quark Sector ◽  
Mixing Matrix ◽  
Unitary Triangle ◽  
Quark Generation

The structure of the mixing matrix in the electroweak quark sector with four generations of quarks is investigated. We conclude that the area of the unitarity quadrangle is not a good choice as a possible measure of the CP violation. In search of new physics, we analyze how the existence of the fourth quark family may influence on the values of the Cabibbo–Kobayashi–Maskawa matrix and we show that one can test for the existence of the fourth generation using the Jarlskog invariants of the known quarks only. The analysis based on the measured unitary triangle exhibits some tension with the assumption of three quark generations. The measurement of the unitarity triangle obtained from the scalar product of the second row/column of the CKM matrix by the complex conjugate of third row/column can provide information about the existence of the fourth generation of quarks.

scholarly journals THE α, β AND γ PARAMETRIZATIONS OF CP-VIOLATING CKM PHASE

2013 ◽  
Vol 28 (05n06) ◽  
pp. 1350014
Author(s):  
GUAN-NAN LI ◽  
HSIU-HSIEN LIN ◽  
DONG XU ◽  
XIAO-GANG HE
Keyword(s):  
Measurable Quantity ◽  
Unitarity Triangle ◽  
Ckm Matrix ◽  
Mixing Angles ◽  
Three Generations ◽  
Quark Mixing ◽  
Three Phase ◽  
Phase Angles

The CKM matrix describing quark mixing with three generations can be parametrized by three mixing angles and one CP-violating phase. In most of the parametrizations, the CP-violating phase chosen is not a directly measurable quantity and is parametrization dependent. In this work, we propose to use experimentally measurable CP-violating quantities, α, β or γ in the unitarity triangle as the phase in the CKM matrix, and construct explicit α, β and γ parametrizations. Approximate Wolfenstein-like expressions are also suggested. Since β is most accurately measured among these three phase angles, we consider β parametrization as the best one to use.

IMPLICATIONS OF "4 TEXTURE ZEROS" MASS MATRICES BASED ON G × SU(3)fam

1996 ◽  
Vol 11 (27) ◽  
pp. 4805-4814
Author(s):  
P. S. GILL ◽  
MANMOHAN GUPTA
Keyword(s):  
Phenomenological Models ◽  
Present Model ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Matrix Elements ◽  
Unitarity Triangle ◽  
Specific Mass ◽  
Family Symmetry ◽  
Ckm Matrix ◽  
Mass Matrices

Texture specific mass matrices generated from the grand unified theory with global family symmetry, have been investigated in the context of latest data regarding [Formula: see text], |Vub|, |Vcb|, |Vtd|, |Vts| and other parameters depending on CKM matrix elements. Unlike several other phenomenological models, the present model not only accommodates the value of [Formula: see text] in the range 150–240 GeV, encompassing the CDF and D0 values, but is also able to reproduce |Vcb| = .038 ± .003 and |Vub/Vcb| = 0.08 ± 0.02, whereas |Vtd| is predicted in the range .005–.014. Further, the angles of the unitarity triangle, related to the CP-violating asymmetries, are in the ranges -1.0 ≤ sin 2α ≤ -.1, .6 ≤ sin 2α ≤ 1.0 and .48 ≤ sin 2β ≤ .56, in agreement with other recent calculations.

Introduction

2018 ◽  
Author(s):  
Elizabeth S. Radcliffe
Keyword(s):  
Early Modern ◽  
Historical Background ◽  
Consistent Picture ◽  
And Control ◽  
Good And Evil

The Introduction offers, first, a brief historical background to Hume’s theory of the passions, which is further elaborated in the APPENDIX. Foremost among the theses of the early modern rationalists—like Reynolds, Senault, Descartes, Cudworth, and Clarke—to which Hume is responding are: that many passions left unregulated lead to the pursuit of unsuitable objects, that reason can overcome the pernicious influence of the passions and control our actions, and that the passions are states that represent good and evil. Second, the Introduction presents a sketch of Hume’s characterization of reason and passion and his account of their relationship. Third, it explains the method of interpretation used in this book and previews its chapters. The approach is coherentist: to present an intelligible and consistent picture of Hume’s theory of passion and action, accounting for as many of the relevant texts as possible.

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