Weak annihilation topologies and final state interactions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>→</mml:mo><mml:mi>P</mml:mi><mml:mi>P</mml:mi></mml:math>decays

Lai, Jr-Hau; Yang, Kwei-Chou

doi:10.1103/physrevd.72.096001

Cited by 10 publications

(10 citation statements)

References 56 publications

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“…Although QCD-inspired approaches such as pQCD [37] and QCDF [38][39][40][41][42] have been applied to charm decays, their results cannot be taken seriously. Since the charm quark mass is not heavy enough, the 1=m c power corrections are so large that a sensible heavy quark expansion is not allowed.…”

Section: Weak Points Of Qcd-inspired Approachesmentioning

confidence: 99%

DirectCPviolation in two-body hadronic charmed meson decays

Cheng

Chiang

2012

Phys. Rev. D

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Motivated by the recent observation of CP violation in the charm sector by LHCb, we study direct CP asymmetries in the standard model (SM) for the singly Cabibbo-suppressed two-body hadronic decays of charmed mesons using the topological-diagram approach. In this approach, the magnitude and the phase of topological weak annihilation amplitudes, which arise mainly from final-state rescattering, can be extracted from the data. Consequently, direct CP asymmetry a ðtreeÞ dir at tree level can be reliably estimated. In general, it lies in the range 10 À4 < a ðtreeÞ dir < 10 À3 . Short-distance QCD penguins and penguin annihilation are calculated using QCD factorization. Their effects are generally small, especially for D ! VP modes. Since weak penguin annihilation receives long-distance contributions from the colorallowed tree amplitude followed by final-state rescattering, it is expected to give the dominant contribution to the direct CP violation in the decays D 0 ! K þ K À and D 0 ! þ À , in which a ðtreeÞ dir is absent. The maximal Áa dir CP , the direct CP asymmetry difference between the above-mentioned two modes, allowed in the SM is around À0:25%, more than 2 away from the current world average of Àð0:645 AE 0:180Þ%.

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Section: Weak Points Of Qcd-inspired Approachesmentioning

confidence: 99%

DirectCPviolation in two-body hadronic charmed meson decays

Cheng

Chiang

2012

Phys. Rev. D

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“…In the QCD factorization (QCDF) approach[50], E and A are proportional to the Wilson coefficients c 1 and c 2 , respectively, and hence A = (c 2 /c 1 )E[29,51]. However, the charm quark is not heavy enough to justify the use of QCDF in charm decays.…”

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confidence: 99%

Two-body hadronic charmed meson decays

2010

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We study in this work the two-body hadronic charmed meson decays, including both the PP and VP modes. The latest experimental data are first analyzed in the diagrammatic approach. The magnitudes and strong phases of the flavor amplitudes are extracted from the Cabibbo-favored (CF) decay modes using $\chi^2$ minimization. The best-fitted values are then used to predict the branching fractions of the singly-Cabibbo-suppressed (SCS) and doubly-Cabibbo-suppressed decay modes in the flavor SU(3) symmetry limit. We observe significant SU(3) breaking effects in some of SCS channels. In the case of VP modes, we point out that the $A_P$ and $A_V$ amplitudes cannot be completely determined based on currently available data. We conjecture that the quoted experimental results for both $D_s^+\to\bar K^0K^{*+}$ and $D_s^+\to \rho^+\eta'$ are overestimated. We compare the sizes of color-allowed and color-suppressed tree amplitudes extracted from the diagrammatical approach with the effective parameters $a_1$ and $a_2$ defined in the factorization approach. The ratio $|a_2/a_1|$ is more or less universal among the $D \to {\bar K} \pi$, ${\bar K}^* \pi$ and ${\bar K} \rho$ modes. This feature allows us to discriminate between different solutions of topological amplitudes. For the long-standing puzzle about the ratio $\Gamma(D^0\to K^+K^-)/\Gamma(D^0\to\pi^+\pi^-)$, we argue that, in addition to the SU(3) breaking effect in the spectator amplitudes, the long-distance resonant contribution through the nearby resonance $f_0(1710)$ can naturally explain why $D^0$ decays more copiously to $K^+ K^-$ than $\pi^+ \pi^-$ through the $W$-exchange topology.Comment: 32 pages, 5 figures. An alternative method for error bar extraction is used; last columns of Tables~I to VI, and all entries in Tables~VII, VIII and X are modified. To appear in PRD

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“…Because of their simplicity, two-body hadronic decays provide experimental input for understanding strong final state interaction effects in heavy meson decays [1,2,3,4,5,6]. By studying these decays, one can determine the magnitude and relative phases of contributing isospin or topological decay amplitudes.…”

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confidence: 99%