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Penguins with charm and quark–hadron duality

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Abstract

The integrated branching fraction of the process BX s l + l is dominated by resonance background from narrow charmonium states, such as BX s ψX s l + l , which exceeds the non-resonant charm-loop contribution by two orders of magnitude. The origin of this fact is discussed in view of the general expectation of quark–hadron duality. The situation in BX s l + l is contrasted with charm-penguin amplitudes in two-body hadronic B decays of the type Bπ π, for which it is demonstrated that resonance effects and the potentially non-perturbative \(c\bar{c}\) threshold region do not invalidate the standard picture of QCD factorization. This holds irrespective of whether the charm quark is treated as a light or a heavy quark.

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References

  1. E.C. Poggio, H.R. Quinn, S. Weinberg, Phys. Rev. D 13, 1958 (1976)

    ADS  Google Scholar 

  2. M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Phys. Rev. Lett. 83, 1914 (1999). hep-ph/9905312

    Article  ADS  Google Scholar 

  3. M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 591, 313 (2000). hep-ph/0006124

    Article  ADS  Google Scholar 

  4. M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Nucl. Phys. B 606, 245 (2001). hep-ph/0104110

    Article  ADS  Google Scholar 

  5. M. Misiak, hep-ph/0002007

  6. G. Buchalla, A.J. Buras, M.E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996). hep-ph/9512380

    Article  ADS  Google Scholar 

  7. C. Amsler (Particle Data Group), Phys. Lett. B 667, 1 (2008)

    ADS  Google Scholar 

  8. P. Ko, J. Lee, H.S. Song, Phys. Rev. D 53, 1409 (1996). hep-ph/9510202

    Article  ADS  Google Scholar 

  9. M. Beneke, F. Maltoni, I.Z. Rothstein, Phys. Rev. D 59, 054003 (1999). hep-ph/9808360

    ADS  Google Scholar 

  10. F. Krüger, L.M. Sehgal, Phys. Lett. B 380, 199 (1996). hep-ph/9603237

    ADS  Google Scholar 

  11. A.J. Buras, M. Münz, Phys. Rev. D 52, 186 (1995). hep-ph/9501281

    ADS  Google Scholar 

  12. M. Misiak, Nucl. Phys. B 393, 23 (1993) [Erratum-ibid. B 439, 461 (1995)]

    Article  ADS  Google Scholar 

  13. B. Chibisov, R.D. Dikeman, M.A. Shifman, N. Uraltsev, Int. J. Mod. Phys. A 12, 2075 (1997). hep-ph/9605465

    Article  ADS  Google Scholar 

  14. B. Blok, M.A. Shifman, D.X. Zhang, Phys. Rev. D 57, 2691 (1998) [Erratum-ibid. D 59, 019901 (1999)]. hep-ph/9709333

    ADS  Google Scholar 

  15. A. Sommerfeld, Ann. Phys. 403, 257 (1931)

    Article  Google Scholar 

  16. M. Beneke, in Proceedings of the 8th International Symposium on Heavy Flavor Physics (Heavy Flavours 8), Southampton, UK (July 1999). hep-ph/9911490

  17. M.B. Voloshin, Sov. J. Nucl. Phys. 36, 143 (1982) [Yad. Fiz. 36, 247 (1982)]

    Google Scholar 

  18. V.A. Novikov, L.B. Okun, M.A. Shifman, A.I. Vainshtein, M.B. Voloshin, V.I. Zakharov, Phys. Rev. Lett. 38, 626 (1977) [Erratum-ibid. 38, 791 (1977)]

    Article  ADS  Google Scholar 

  19. J.H. Kühn, M. Steinhauser, C. Sturm, Nucl. Phys. B 778, 192 (2007). hep-ph/0702103

    Article  MATH  ADS  Google Scholar 

  20. E. Braaten, S. Narison, A. Pich, Nucl. Phys. B 373, 581 (1992)

    Article  ADS  Google Scholar 

  21. Z. Ligeti, L. Randall, M.B. Wise, Phys. Lett. B 402, 178 (1997). hep-ph/9702322

    ADS  Google Scholar 

  22. S.J. Lee, M. Neubert, G. Paz, Phys. Rev. D 75, 114005 (2007). hep-ph/0609224

    ADS  Google Scholar 

  23. C. Bobeth, M. Misiak, J. Urban, Nucl. Phys. B 574, 291 (2000). hep-ph/9910220

    Article  ADS  Google Scholar 

  24. G. Buchalla, G. Isidori, S.J. Rey, Nucl. Phys. B 511, 594 (1998). hep-ph/9705253

    Article  ADS  Google Scholar 

  25. M. Bander, D. Silverman, A. Soni, Phys. Rev. Lett. 43, 242 (1979)

    Article  ADS  Google Scholar 

  26. A.J. Buras, R. Fleischer, Phys. Lett. B 341, 379 (1995). hep-ph/9409244

    ADS  Google Scholar 

  27. M. Ciuchini, E. Franco, G. Martinelli, L. Silvestrini, Nucl. Phys. B 501, 271 (1997). hep-ph/9703353

    Article  ADS  Google Scholar 

  28. C.W. Bauer, D. Pirjol, I.Z. Rothstein, I.W. Stewart, Phys. Rev. D 70, 054015 (2004). hep-ph/0401188

    ADS  Google Scholar 

  29. M. Beneke, G. Buchalla, M. Neubert, C.T. Sachrajda, Phys. Rev. D 72, 098501 (2005). hep-ph/0411171

    ADS  Google Scholar 

  30. C.W. Bauer, D. Pirjol, I.Z. Rothstein, I.W. Stewart, Phys. Rev. D 72, 098502 (2005). hep-ph/0502094

    ADS  Google Scholar 

  31. I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev, A.I. Vainshtein, Phys. Rev. Lett. 71, 496 (1993). hep-ph/9304225

    Article  ADS  Google Scholar 

  32. A.V. Manohar, M.B. Wise, Phys. Rev. D 49, 1310 (1994). hep-ph/9308246

    ADS  Google Scholar 

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Correspondence to G. Buchalla.

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Beneke, M., Buchalla, G., Neubert, M. et al. Penguins with charm and quark–hadron duality. Eur. Phys. J. C 61, 439–449 (2009). https://doi.org/10.1140/epjc/s10052-009-1028-9

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-1028-9

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