STUDY OF DIRECT CP ASYMMETRY IN B+→K0π+

2000 ◽  
Vol 15 (09) ◽  
pp. 599-615
Author(s):  
RUKMANI MOHANTA
Keyword(s):  
B Mesons ◽  
Branching Ratio ◽  
Effective Hamiltonian ◽  
Matrix Elements ◽  
Leading Order ◽  
Final State ◽  
Cp Asymmetry ◽  
Transition Matrix Elements ◽  
Final State Interactions ◽  
Weak Transition

The direct CP asymmetry (aCP) for the process B+→π+K0 is studied including the contributions arising from both the QCD and electroweak penguins and the long range inelastic final state interactions (IFSI). The usually neglected space-like penguins and the annihilation contributions are also taken into account in our analysis. The next-to-leading order low energy effective Hamiltonian and BSW model are used to evaluate the weak transition matrix elements. The effect of space-like and annihilation diagrams are studied using the Lepage and Brodsky model. We found that as a result of FSI, the CP asymmetry and the branching ratio are suppressed slightly in comparison to no FSI situation, but the obtained branching ratio with FSI agrees very well with the present experimental value. With our predicted value of aCP~1010, charged B mesons are required to resolve the CP asymmetry experimentally at 3σ level.

scholarly journals RESONANT FINAL-STATE INTERACTIONS IN $D^0\rightarrow{\bar K}^0\eta,~{\bar K}^0\eta^\prime$ DECAYS

2000 ◽  
Vol 15 (26) ◽  
pp. 4163-4178
Author(s):  
EL HASSAN EL AAOUD ◽  
A. N. KAMAL
Keyword(s):  
Resonant State ◽  
Decay Amplitude ◽  
Branching Ratio ◽  
Coupling Constants ◽  
Final State ◽  
Shell Effects ◽  
State Formula ◽  
Final State Interactions ◽  
Weak Transition ◽  
Sum Formula

We have investigated the effect of the isospin ½, JP=0+ resonant state [Formula: see text] on the decays [Formula: see text] and [Formula: see text] as a function of the branching ratio sum [Formula: see text] and coupling constants [Formula: see text]. We have used a factorized input for [Formula: see text] weak transition through a πK loop. We estimated both on- and off-shell contributions from the loop. Our calculation shows that the off-shell effects are significant. For r≥30% a fit to the decay amplitude [Formula: see text] was possible, but the amplitude [Formula: see text] remained at its factorized value. For small values of r, r≤18%, we were able to fit [Formula: see text], and despite the fact that [Formula: see text] could be raised by almost 100% over its factorized value, it still falls short of its experimental value. A simultaneous fit to both amplitudes [Formula: see text] and [Formula: see text] was not possible. We have also determined the strong phase of the resonant amplitudes for both decays.

scholarly journals Dual subtractions

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Renato Maria Prisco ◽  
Francesco Tramontano
Keyword(s):  
Field Theory ◽  
Quantum Field ◽  
Matrix Elements ◽  
Leading Order ◽  
Initial State ◽  
Final State ◽  
Dual Representation ◽  
Subtraction Scheme ◽  
Theoretical Predictions ◽  
Perturbative Quantum

Abstract We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploits their dual representation. Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.

scholarly journals DALITZ ANALYSES: A TOOL FOR PHYSICS WITHIN AND BEYOND THE STANDARD MODEL

2006 ◽  
Vol 21 (27) ◽  
pp. 5503-5512 ◽  
Author(s):  
M. R. PENNINGTON
Keyword(s):  
Standard Model ◽  
Strong Coupling Regime ◽  
Hadronic Decays ◽  
Beyond The Standard Model ◽  
Final States ◽  
Matrix Elements ◽  
Final State ◽  
Ckm Matrix ◽  
The Standard Model ◽  
Final State Interactions

Dalitz analyses are introduced as the method for studying hadronic decays. An accurate description of hadron final states is critical not only to an understanding of the strong coupling regime of QCD, but also to the precision extraction of CKM matrix elements. The relation of such final state interactions to scattering processes is discussed.

scholarly journals MESON2006 SUMMARY: THEORY

2007 ◽  
Vol 22 (02n03) ◽  
pp. 495-501
Author(s):  
TED BARNES
Keyword(s):  
B Mesons ◽  
Low Energy ◽  
Medium Effects ◽  
Final State ◽  
Hadron Physics ◽  
The Status ◽  
Recent Developments ◽  
Hadronic Production ◽  
Final State Interactions ◽  
Pion Nucleon

This is a summary of theoretical plenary contributions to the biennial hadron physics conference Meson2006, which was the ninth in this series. The topics covered in the meeting include low energy pion-pion and pion-nucleon interactions, photoproduction and hadronic production of light mesons and baryons, in-medium effects, recent developments in charmed mesons, charmonia and B mesons, the status of exotica, and some related topics such as final state interactions. In this contribution we review and summarize the plenary talks presented by theorists at the meeting, and emphasize some of the main points of their presentations. Where appropriate we will add brief comments on some aspects of QCD spectroscopy. Finally, following tradition, we conclude with a new Feynman story.

WEAK ANNIHILATION TOPOLOGIES AND FINAL STATE INTERACTIONS IN $B^+ \rightarrow D^+_s\phi$ DECAY

2012 ◽  
Vol 27 (11) ◽  
pp. 1250064 ◽  
Author(s):  
BEHNAM MOHAMMADI ◽  
HOSSEIN MEHRABAN
Keyword(s):  
Final State Interaction ◽  
Absorptive Part ◽  
Branching Ratio ◽  
State Interaction ◽  
Hadronic Decay ◽  
Final State ◽  
Qcd Factorization ◽  
Intermediate States ◽  
Final State Interactions ◽  
Weak Annihilation

In this research, the hadronic decay of [Formula: see text] is analyzed by using "QCD factorization" (QCDF) method and final state interaction (FSI). First, the [Formula: see text] decay is calculated via QCDF method and only the annihilation graphs exist in that method. Then, FSI is considered to solve the [Formula: see text] decay as a sizable correction and the D+*K0, D0*K+ and [Formula: see text] via the exchange of [Formula: see text], K-(*) and [Formula: see text] mesons are chosen for the intermediate states. To estimate the intermediate states amplitudes, QCDF method is again used. These amplitudes are used in the absorptive part of the diagrams. The experimental branching ratio of [Formula: see text] decay is less than 1.9×10-6 and our results according to QCDF method and FSI effects are 0.16×10-6 and 1.86×10-6, respectively.

Searches for Prompt Heavy Quarkonia & ${\rm B}^\pm_{\rm c}$ Mesons and Evidence for Radially Excited B Mesons in Z0 Decays

1997 ◽  
Vol 12 (22) ◽  
pp. 3909-3919
Author(s):  
Gerald Eigen
Keyword(s):  
B Mesons ◽  
Branching Ratio ◽  
Heavy Quarkonia ◽  
Final State ◽  
Delphi Detector ◽  
Upper Limits ◽  
Gluon Fragmentation

We have searched for prompt heavy quarkonia and Bc mesons in 3 × 106 hadronic Z0 decays recorded with the DELPHI detector at LEP. No signal was observed in any of these modes. We achieved the highest sensitivities for gluon fragmentation into J/ψ and for semileptonic [Formula: see text] decays, yielding branching ratio upper limits of [Formula: see text] and [Formula: see text] @ 90% CL, respectively. We found the first evidence for radially excited B mesons, by observing a signal in the B(*)π+ π- final state at Q = m(B(*) π+π-) - m(B(*)) - 2m(π) = 301 ± 4 ± 10 MeV.

THE EFFECTIVE ELECTRON-NUCLEUS HAMILTONIAN WITH DISTORTED ELECTRON WAVES

2003 ◽  
Vol 12 (06) ◽  
pp. 747-754 ◽  
Author(s):  
R. Ya. KEZERASHVILI
Keyword(s):  
Relativistic Electrons ◽  
Effective Hamiltonian ◽  
Matrix Elements ◽  
Heavy Nuclei ◽  
Coupling Constant ◽  
Electron Wave ◽  
Effective Electron ◽  
Interaction Terms ◽  
Constant E ◽  
Transition Matrix Elements

The interaction of non-relativistic nucleons with relativistic electrons is expressed by the Hamiltonian expanded in a power series of the inverse nucleon mass keeping interaction terms up to second order in the coupling constant e and retaining up through terms of order M-3. The effective Hamiltonian, describing the interaction of the electron wave distorted by the nucleus with the nucleon is obtained. This Hamiltonian describes the distortion of electron waves and allows one to calculate its effect. Using this Hamiltonian for the description of (e,e′p) and (e,e′NN) reactions for medium and heavy nuclei, the off-shell transition matrix elements can be calculated.

EXTRACTING THE CKM PHASE ANGLE γ(≡ φ3) FROM ISOSPIN ANALYSIS IN B → Kπ DECAY

2008 ◽  
Vol 23 (21) ◽  
pp. 3300-3303
Author(s):  
C. S. KIM ◽  
SECHUL OH ◽  
YEO WOONG YOON
Keyword(s):  
Phase Angle ◽  
New Physics ◽  
Theoretical Assumption ◽  
Final State ◽  
Cp Asymmetry ◽  
Breaking Effect ◽  
Plot Analysis ◽  
Hadronic Uncertainty ◽  
Final State Interactions ◽  
Current Experimental Data

We propose a new method to extract the CKM phase angle γ(≡ φ3) from the isospin analysis in B → Kπ decays only. Unlike previously proposed methods, we do not employ flavor SU (3) symmetry, so that this method is free from the hadronic uncertainty coming from the SU (3) breaking effect. Neither we adopt any Dalitz-plot analysis, which may involve multiple strong phases and large final state interactions. Since no theoretical assumption, except the isospin relations, is imposed on B → Kπ decays, this method will work well, regardless of possible new physics effects unless the isospin relations do not hold. Since the mixing induced CP asymmetry SKSπ0 plays a crucial role in this method, more precise measurement on SKSπ0 in future experiments will be greatly helpful to extract γ accurately. Using current experimental data for B → Kπ including SKSπ0, we extract γ within [Formula: see text] or [Formula: see text].

OPTICAL TRANSITIONS IN A PARABOLIC GaAs/Ga1-xAlxAs SUPERLATTICES

2001 ◽  
Vol 08 (03n04) ◽  
pp. 321-325
Author(s):  
ŞAKIR ERKOÇ ◽  
HATICE KÖKTEN
Keyword(s):  
Transition Matrix ◽  
Optical Transition ◽  
Matrix Elements ◽  
Electron States ◽  
Parabolic Potential ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Transition Matrix Elements ◽  
Scf Calculations

We have performed self-consistent field (SCF) calculations of the electronic structure of GaAs/Ga 1-x Al x As superlattices with parabolic potential profile within the effective mass theory. We have calculated the optical transition matrix elements involving transitions from the hole states to the electron states, and we have also computed the oscillator strength matrix elements for the transitions among the electron states.

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