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Exploring Rare B Decays and Charm Penguins: Insights from a Toy Model

This study delves into the intriguing phenomenon of rare B decays and the charm penguin contributions within a toy model framework. We explore the principles of quark-hadron duality and its implications for understanding charm penguins in particle physics. The discussion covers the violation of duality and its significance, highlighting how resonance enhancement emerges in these scenarios. By analyzing dispersion relations and utilizing models such as the Krüger-Sehgal approach, we aim to shed light on the complexities of charm contributions in decay processes.

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Exploring Rare B Decays and Charm Penguins: Insights from a Toy Model

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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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