NEW RESULT OF DIRECT CP VIOLATION IN B → π+π-π+π-

2011 ◽  
Vol 26 (17) ◽  
pp. 2899-2912 ◽  
Author(s):  
GANG LÜ ◽  
ZHEN-HUA ZHANG ◽  
XIU-YING LIU ◽  
LI-YING ZHANG
Keyword(s):  
Experimental Data ◽  
Cp Violation ◽  
Invariant Mass ◽  
Branching Ratios ◽  
Effective Parameter ◽  
Matrix Elements ◽  
Strong Constraint ◽  
Ckm Matrix ◽  
First Order ◽  
Isospin Violation

In the framework of factorization, based on the first-order of isospin violation, we study direct CP violation in the decay of [Formula: see text] including the effect of ρ–ω mixing. The CP violation depends strongly on Cabibbo–Kobayashi–Maskawa (CKM) matrix elements and the effective parameter, Nc. Recently, the experimental data for the branching ratios of [Formula: see text] are accurate and we can give the strong constraint on the range of Nc. We find that the CP violating asymmetry is large and ranges from -82% to -98% via ρ–ω mixing mechanism when the invariant mass of the π+π- pair is in the vicinity of the ω resonance. We also discuss the possibility to observe the predicted CP violating asymmetries at the LHC.

CKM MATRIX ELEMENT MAGNITUDES

2004 ◽  
Vol 19 (07) ◽  
pp. 1004-1016 ◽  
Author(s):  
K. R. SCHUBERT
Keyword(s):  
Matrix Element ◽  
Cp Violation ◽  
B Meson ◽  
Matrix Elements ◽  
Perfect Agreement ◽  
B Meson Decays ◽  
Ckm Matrix ◽  
Cp Violations ◽  
The Matrix ◽  
Cp Symmetry

The present status of experimental results for the magnitudes of Cabibbo-Kobayashi-Maskawa matrix elements is reviewed and used for a unitarity test. The matrix is found to be unitary within ±1.8 standard deviations. The matrix violates CP-symmetry and the size of its CP-violation, as derived from only magnitude measurements and unitarity, is in perfect agreement with the observed CP-violations in K and B meson decays.

scholarly journals CKM PHASE AND SPONTANEOUS CP VIOLATION

2008 ◽  
Vol 23 (21) ◽  
pp. 3282-3289 ◽  
Author(s):  
XIAO-GANG HE
Keyword(s):  
Experimental Data ◽  
Cp Violation ◽  
Standard Model ◽  
Higgs Potential ◽  
Ckm Matrix ◽  
The Standard Model

The Standard Model for CP violation, the CKM model, works very well in explaining all laboratory experimental data. However, this model does not address the question that where it comes from. The origin of CP violation is still a mystery. In this talk I discuss a model1 addressing this problem in which the CP violating phase in the CKM matrix is identical to the phase in the Higgs potential resulting from spontaneous CP violation.

scholarly journals Study on branching ratios and direct CP asymmetries of D → PV decays

2014 ◽  
Vol 29 ◽  
pp. 1460209 ◽  
Author(s):  
Qin Qin ◽  
Hsiang-Nan Li ◽  
Cai-Dian Lü ◽  
Fu-Sheng Yu
Keyword(s):  
Experimental Data ◽  
Pseudoscalar Meson ◽  
Short Distance ◽  
D Mesons ◽  
Branching Ratios ◽  
Matrix Elements ◽  
Long Distance ◽  
Global Fit ◽  
Belle Ii ◽  
Cp Asymmetries

We study the non-leptonic two-body decays of D mesons decaying into one pseudoscalar meson (P) and one vector meson (V) in the factorization-asisted topological-amplitude approach. In this approach, the decay amplitudes are factorized into two parts, the short-distance contribution (Wilson coefficients) and the long-distance contribution (hadronic matrix elements). We predict the branching ratios of D → PV decays using a global fit with the non-perturbative parameters. Our results agree well with the experimental data. We also predict the direct CP asymmetries by combining short-distance dynamics associated with penguin operators and long-distance hadronic matrix elements determined by branching ratios. The large asymmetries in D+ → π+ρ0 and [Formula: see text] may be measurable in the LHCb and future Belle II experiments.

scholarly journals IMPROVING EXTRACTIONS OF |VCB| AND THE B QUARK MASS FROM SEMILEPTONIC INCLUSIVE B DECAY

2004 ◽  
Vol 19 (31) ◽  
pp. 5493-5500 ◽  
Author(s):  
MICHAEL TROTT
Keyword(s):  
Experimental Data ◽  
Mass Spectrum ◽  
Energy Spectrum ◽  
Matrix Element ◽  
Invariant Mass ◽  
Quark Mass ◽  
Invariant Mass Spectrum ◽  
Text Structure ◽  
Ckm Matrix ◽  
B Quark

Recent advances in improving extractions of |Vcb| and mb from spectra of semileptonic inclusive B decay are reported. Results of a general moment analysis of the lepton energy spectrum and the hadronic invariant mass spectrum are summarized. The calculation of the general [Formula: see text] structure functions for semileptonic B decay is reported, which has allowed the calculation of the [Formula: see text] terms for the hadronic invariant mass moments to be carried out. Recent theoretical advances and improvements in experimental data has allowed extractions of the CKM matrix element |Vcb| to improve to the 2% level.

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 LARGE SU(3) BREAKING EFFECTS AND CP VIOLATION IN B+ DECAYS INTO THREE CHARGED OCTET PSEUDOSCALAR MESONS

2014 ◽  
Vol 29 (03n04) ◽  
pp. 1450011 ◽  
Author(s):  
DONG XU ◽  
GUAN-NAN LI ◽  
XIAO-GANG HE
Keyword(s):  
Experimental Data ◽  
Cp Violation ◽  
Branching Ratios ◽  
Lhcb Collaboration ◽  
The Other ◽  
Order Derivative ◽  
B Decays ◽  
Pseudoscalar Mesons ◽  
Cp Asymmetries

The LHCb collaboration has recently reported evidence for nonzero CP asymmetries in B+ decays into π+K+K-, π+π+π-, K+K+K- and K+π+π-. The branching ratios for these decays have also been measured with different values ranging from 5×10-6 to 51×10-6. If flavor SU(3) symmetry is a good symmetry for B decays, in the case that the dominant amplitude is momentum independent it is expected that branching ratios Br and CP violating rate differences [Formula: see text] satisfy, Br (π+π+π-) = 2 Br (π+K+K-), Br (K+K+K-) = 2 Br (K+π+π-) and Δ CP (π+π+π-) = 2Δ CP (π+K+K-) = -Δ CP (K+K+K-) = -2Δ CP (K+π+π-). The experimental data do not exhibit the expected pattern for the branching ratios. The rate differences for B+→π+π+π- and B+→K+ K+ K- satisfy the relation between ΔS = 0 and ΔS = 1 as well, but the other two do not, with the CP asymmetries having different signs than expected. In this paper, we study how to include momentum dependent and also SU(3) breaking effects on these decays to explain experimental data. We find that by including only the lowest order derivative terms, in the SU(3) limit, the decay patterns cannot be explained. Large SU(3) breaking effects are needed to explain the data.

scholarly journals Recent developments on the CKM matrix

2014 ◽  
Vol 29 (20) ◽  
pp. 1430040 ◽  
Author(s):  
Wei Wang
Keyword(s):  
Experimental Data ◽  
Cp Violation ◽  
Standard Model ◽  
Recent Experimental Data ◽  
Experimental Measurements ◽  
Complex Phase ◽  
Ckm Matrix ◽  
Recent Developments ◽  
Mixing Matrix ◽  
Theoretical Developments

In Standard Model, CP violation arises from an irreducible complex phase in the quark mixing matrix, now under the name Cabibbo–Kobayashi–Maskawa matrix. This description has shown remarkable overall agreement with various experimental measurements. In this review, we discuss recent experimental data and theoretical developments on three quantities of CKM matrix that are most uncertain: the Vub, including its magnitude and the phase γ in standard parametrization, and the [Formula: see text] mixing phase βs.

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