Charming penguin in nonleptonic B decays

In the study of two-body charmless B decays as a mean of looking for direct CP-violation and measuring the CKM mixing parameters in the Standard Model, the short-distance penguin contribution with its absorptive part generated by charm quark loop seems capable of producing sufficient $B \to K\pi$ decays rates, as obtained in factorization and QCD-improved factorization models. However there are also long-distance charming penguin contributions which also give rise to a strong phase due to the rescattering $D^{*}D^{*} \to K\pi$ . In this talk, I would like to discuss \cite{Isola} a recent work on the long-distance charming penguin as a a different approach to the calculation of the penguin contributions in $B \to K\pi$ decays from charmed meson intermediate states. Using chiral effective Lagrangian for light and heavy mesons, corrected for hard pion and kaon momenta, we show that the charming-penguin contributions increase significantly the $B \to K\pi$ decays rates from its short-distance contributions, giving results in better agreement with experimental data.Comment: Talk given at the International Workshop on QCD: Theory and Experiment, Martina Franca, Italy, 16--20 June 2001, LaTex, 9 page

CP-violating asymmetry in B−→π+π−K−B^- \to \pi^+ \pi^- K^- and B−→K+K−K−B^- \rarr K^+ K^- K^- decays

The recent Belle and Babar measurements of the branching ratios $B^- \to \pi^+ \pi^- K^-$ and $B^- \to K^+ K^- K^-$ and $B^\pm \to \chi_{c0} K^\pm$ have renewed interests in these decays as another mean to look for direct CP violation in B decays. In this talk, I would like to discuss a recent analysis of the CP violating asymmetry in the partial widths for the decays $B^- \to \pi^+ \pi^- K^-$ and $B^- \to K^+ K^- K^-$, which results from the interference of the non resonant amplitude with the resonant amplitude $B^\pm \to \chi_{c0} K^\pm$ $\rarr\pi^+ \pi^- K^\pm$ and $B^\pm \to \chi_{c0} K^\pm$ $\to K^+ K^- K^\pm$. For $\gamma \simeq 58^o$ we predict that the partial width asymmetry could reach 10% for the $B^- \to \pi^+ \pi^- K^-$ decay and 16% for the $B^- \to K^+ K^- K^-$decay.Comment: Talk given at the Quark Confinement and Hadron Spectrum V, Gargnano,Italy,10-14 September 2002, LaTeX,4 page

Power corrections in charmless B decays

Power corrections seem to play an important role in charmless B decays as indicated by recent analysis using QCD Factorization. In this talk, I would like to report on a recent work on power corrections in charmless B decays. By using the ratio of the branching fraction of $B^+ \to \pi^+ K^{\ast 0}$ to that of $B^0 \to \pi^- \rho^+$, for which the theoretical uncertainties are greatly reduced, it is shown in a transparent manner that power corrections in charmless B decays are probably large and that the $B^0 \to K^- \rho^+$ decay could be explained with the annihilation term included. For ratios of direct CP asymmetries, QCD Factorisation with the annihilation terms included would predict the direct CP asymmetry of $B \to \pi^+ \pi^-$ to be about 3 times larger than that of $B \to \pi^\pm K^\mp$, with opposite sign. In particular, the large measured value for $B \to \pi^\pm K^\mp$ CP asymmetry implies naturally a corresponding large $B \to \pi^+ \pi^-$ CP asymmetry as observed by Belle. Experimentally any significant deviation from this prediction or possibly the importance of long-distance rescattering effects.Comment: Talk given at the QCD Euroconference 2004, Montpellier 5-9 July 2004., LateX, 7 pages, 2 figure

Relations for Direct CP asymmetries \\in B→PPB\to \rm PP and B→PVB\to \rm PV decays

The presence of additional strong phase from power corrections and other chirally enhanced terms makes it more difficult to predict direct CP asymmetries in two-body charmless B decays. In this talk, I would like to report on a recent work on QCD Factorisation and Power Corrections in Charmless B Decays. Using the measured branching ratios for $B\to \rm PV$, it is shown that power corrections in charmless B decays are probably large, at least for penguin dominated $\rm PV$ channels. Since the tree-penguin interference responsible for direct CP asymmetries in two-body charmless B decays are related by CKM factors and SU(3) symmetry, we find that, if power corrections other than the chirally enhanced power corrections and annihilation topology were negligible, QCD Factorisation would predict the direct CP asymmetry of $B \to \pi^+ \pi^-$ to be about 3 times larger than that of $B \to \pi^\pm K^\mp$, with opposite sign, in agreement with the latest measurement from Belle. Similar relations are also given for direct CP asymmetries in $B\to\rm PV$ .Comment: Talk given at the QCD@Work 2005, Conversano, Bari, Italy, 16-20 June 2005, LateX, 7 pages, 2 figures, to appear in the Proceeding

Non factorizable Effetcs in B→χc0K−B \to \chi_{c0} K^- from Charmed Meson Rescattering

The $B^{-} \to \chi_{c0} K^{-}$ decay which has no visible factorizable amplitude, could be induced by the Cabibbo-allowed, color-favored $B^{-} \to D_{s}D^{*0}$, $B^{-} \to D^{*0}_{s}D^{0}$ and $B \to D_{s}^{*}D^{*}$ via the rescattering of these charmed mesons to $\chi_{co} K^{-}$. In this talk I would like to discuss a recent calculation \cite{Colangelo} of these effects for $B^{-} \to \chi_{c0} K^{-}$ and $B^{-} \to J/\psi K^{-}$ decays. We find that charmed scattering effects seem capable of producing a large $B^{-} \to \chi_{c0} K^{-}$ branching ratio measured by the Babar and Belle Collaboration and make a significant contribution to the $B^{-} \to J/\psi K^{-}$ branching ratios in agreement with experiments.Comment: Talk at the International Workshop on QCD: QCD@Work 2003 - Conversano (Italy) 14-18 June 2003 (eConf C030614), 4 pages LaTeX, 3 eps figures, revised version, 1 reference added, text unchange

CP asymmetry in B−→π+π−K−B^- \to \pi^+ \pi^- K^- and B−→K+K−K−B^- \to K^+ K^- K^- decays

The near equality between the measured value for $|V_{ub}|/|V_{cb}|$ and its unitarity triangle lower bound from $\sin 2\beta$ measurements suggests that $\alpha \approx 90^{\circ}$ and $\sin\gamma \approx \cos\beta = 0.91$ and a large direct CP violation in B decays would be possible. In this talk, I would like to discuss a recent analysis of the non resonant and resonant CP asymmetry for the decays $B^- \to \pi^+ \pi^- K^-$ and $B^- \to K^+ K^- K^-$ where the CP asymmetry at the $\chi_{c0}$ resonance comes from the interference of the non resonant amplitude with the resonant amplitude $B^\pm \to \chi_{c0} K^\pm$ $\to\pi^+ \pi^- K^\pm$ and $B^\pm \to \chi_{c0} K^\pm$ $\to K^+ K^- K^\pm$. Using the the Babar and Belle measurements of the $B^-\to \chi_{c0} K^-$ branching ratios, we predict that partial width asymmetry at the $\chi_{c0}$ resonance could reach 10% for the $B^- \to \pi^+ \pi^- K^-$ decay and 16% for the $B^- \to K^+ K^- K^-$decay.Comment: Invited talk at the Workshop on the CKM Unitarity Triangle, IPPP Durham, April 2003 (eConf C0304052). 4 pages LaTeX, 5 eps figure