Quark mixing in weak interactions

Chau, Ling‐Lie

doi:10.1016/0370-1573(83)90043-1

Cited by 463 publications

(95 citation statements)

References 234 publications

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“…1 are dominant. This is an interesting empirical support for the general rule that the diagrams of external emission are color favored and dominate the processes [61].…”

Section: Dk Scattering Amplitudesupporting

confidence: 69%

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

2016

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“…1 are dominant. This is an interesting empirical support for the general rule that the diagrams of external emission are color favored and dominate the processes [61].…”

Section: Dk Scattering Amplitudesupporting

confidence: 69%

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

2016

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“…In the diagrammatic approach, all two-body nonleptonic weak decays of heavy mesons can be expressed in terms of six distinct quark diagrams [42,43,44]: T , the color-allowed external Wemission tree diagram; C, the color-suppressed internal W -emission diagram; E, the W -exchange diagram; A, the W -annihilation diagram; P, the penguin diagram; and V, the vertical W -loop diagram. It should be stressed that these quark diagrams are classified according to the topologies of weak interactions with all strong interaction effects included and hence they are not Feynman graphs.…”

Section: Final-state Interactionsmentioning

confidence: 99%

Final state interactions in hadronicBdecays

2005

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There exist many experimental indications that final-state interactions (FSIs) may play a prominent role not only in charmful B decays but also in charmless B ones. We examine the final-state rescattering effects on the hadronic B decay rates and their impact on direct CP violation. The color-suppressed neutral modes such as B 0 → D 0 π 0 , π 0 π 0 , ρ 0 π 0 , K 0 π 0 can be substantially enhanced by long-distance rescattering effects. The direct CP -violating partial rate asymmetries in charmless B decays to ππ/πK and ρπ are significantly affected by final-state rescattering and their signs are generally different from that predicted by the short-distance approach. For example, direct CP asymmetry in B 0 → ρ 0 π 0 is increased to around 60% due to final state rescattering effects whereas the short-distance picture gives about 1%. Evidence of direct CP violation in the decay B 0 → K − π + is now established, while the combined BaBar and Belle measurements of B 0 → ρ ± π ∓ imply a 3.6σ direct CP asymmetry in the ρ + π − mode. Our predictions for CP violation agree with experiment in both magnitude and sign, whereas the QCD factorization predictions (especially for ρ + π − ) seem to have some difficulty with the data. Direct CP violation in the decay B − → π − π 0 is very small ( < ∼ 1%) in the Standard Model even after the inclusion of FSIs. Its measurement will provide a nice way to search for New Physics as in the Standard Model QCD penguins cannot contribute (except by isospin violation). Current data on πK modes seem to violate the isospin sum rule relation, suggesting the presence of electroweak penguin contributions. We have also investigated whether a large transverse polarization in B → φK * can arise from the final-state rescattering of D ( * )D ( * ) s into φK * . While the longitudinal polarization fraction can be reduced significantly from short-distance predictions due to such FSI effects, no sizable perpendicular polarization is found owing mainly to the large cancellations occurring in the processes B → D * sD → φK * and B → D sD * → φK * and this can be understood as a consequence of CP and SU(3) [CPS] symmetry. To fully account for the polarization anomaly (especially the perpendicular polarization) observed in B → φK * , FSI from other states or other mechanism, e.g. the penguin-induced annihilation, may have to be invoked. Our conclusion is that the small value of the longitudinal polarization in V V modes cannot be regarded as a clean signal for New Physics.

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“…Without making any assumptions regarding the sizes of these contributions, we find out their upper and lower limits. Another useful method to study various hadronic decays of the B and D mesons is the topological diagram approach [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. We have used this approach in conjunction with the isospin symmetry to derive a simple expression relating all the branching ratios and CP asymmetries under consideration.…”

Section: Jhep11(2017)087mentioning

confidence: 99%

Prediction of the CP asymmetry C00 in $$ {B}^0\to {D}^0\overline{D^0} $$ decay

Sahoo

Cheng

Chiang

et al. 2017

J. High Energ. Phys.

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Of all B → DD decays, the B 0 → D 0 D 0 decay has the smallest observed branching ratio as it takes place primarily via the suppressed W -exchange diagram. The CP asymmetry for this mode is yet to be measured experimentally. By exploiting the relationship among the decay amplitudes of B → DD decays (using isospin and topological amplitudes) we are able to relate the CP asymmetries and branching ratios by a simple expression. This enables us to predict the CP asymmetry C 00 in B 0 → D 0 D 0 . While the predicted central values of C 00 are outside the physically allowed region, they are currently associated with large uncertainties owing to the large errors in the measurements of the. With a precise determination of B 00 , C +− and A CP , one can use our analytical result to predict C 00 with a reduced error and compare it with the experimental measurement when it becomes available. The correlation between B 00 and C 00 is an interesting aspect that can be probed in ongoing and future particle physics experiments such as LHCb and Belle II.

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Quark mixing in weak interactions

Cited by 463 publications

References 234 publications

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

Final state interactions in hadronicBdecays

Prediction of the CP asymmetry C00 in $$ {B}^0\to {D}^0\overline{D^0} $$ decay

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