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G. Buchalla LMU München

Rare B Decays and Penguins with Charm. G. Buchalla LMU München. Outline. ● Charm Penguins in ● A Toy Model ● Quark-Hadron Duality ● Discussion ● Conclusions.

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G. Buchalla LMU München

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  1. Rare BDecays and Penguins with Charm G. Buchalla LMU München

  2. Outline ● Charm Penguins in ● A Toy Model ● Quark-Hadron Duality ● Discussion ● Conclusions Beneke, G.B., Neubert, Sachrajda, Eur. Phys. J. C (2009) 61, 439

  3. SDcoefficient Krüger-Sehgalmodel

  4. Toy Model

  5. Properties of dispersion relation quark loop in toy model

  6. Quark-Hadron Duality in a Nutshell Shifman exact: OPE: OPE duality violation

  7. contributionfromresonance moresingularthan forsmall

  8. Quark-HadronDuality(QHD) ? ↔

  9. localQHD violated, but… consistent with globalQHDfor arbitrarilylarge! ► global duality violated for between hadronic and fixed-order partonic result

  10. resonanceenhancementintoymodel: 550.007560 >>

  11. QHDviolated ↔ no OPE for restricted set of cuts „exclusive“ final state even for integrated rate „tau-decay“ dualityholdsinthe usualsense

  12. Charm Resonances in [23]0.007560 Coulomb limit light resonance

  13. Discussion ● high- region in : OPE G.B., Isidori; Grinstein, Pirjol duality ↑ small ● charm-penguin in

  14. Conclusions ► integrated rate: no OPE for charm contribution, enters as ► , very small ► huge violation of global duality between hadronic and fixed-order partonic result ►high- : global duality o.k.

  15. HappyBirthdayDaniel !

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