Advertisement

The European Physical Journal C

, Volume 50, Issue 3, pp 539–556 | Cite as

On the nonperturbative charm effects in inclusive B→Xcℓν decays

  • I.I. Bigi
  • N. Uraltsev
  • R. ZwickyEmail author
Regular Article -Theoretical Physics

Abstract

We address the nonperturbative effects associated with soft charm quarks in inclusive B decays. Such corrections are allowed by the OPE, but have largely escaped attention so far. The related four-quark ‘double heavy’ expectation values of the form \(\langle{B}\mid{\bar{b}c\,\bar{c}b}\mid{B}\rangle\) are computed in the 1/mc expansion by integrating out the charm field to one and two loops. A significant enhancement of the two-loop coefficients is noted. A method is suggested for evaluating the expectation values of the higher-order b quark operators required to calculate charm expectation values, free from the overly large ambiguities of dimensional analyses. The soft charm effects were found generally to be at the level of 0.5% in Γsl(b→c); our literal estimate is somewhat smaller as a result of partial cancellations. We propose a direct way to search for such effects in the data. Finally, we discuss the relation of the soft charm corrections in inclusive decays with the ‘intrinsic charm’ ansatz.

Keywords

Heavy Quark Charm Quark Axial Current Hard Gluon Quark Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    I. Bigi, N. Uraltsev, A. Vainshtein, Phys. Lett. B 293, 430 (1992)CrossRefADSGoogle Scholar
  2. 2.
    B. Blok, M. Shifman, Nucl. Phys. B 399, 441 (1993)CrossRefADSGoogle Scholar
  3. 3.
    B. Blok, M. Shifman, Nucl. Phys. B 399, 459 (1993)CrossRefADSGoogle Scholar
  4. 4.
    M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979)CrossRefADSGoogle Scholar
  5. 5.
    V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 249, 445 (1985)CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    M. Voloshin, M. Shifman, Yad. Fiz. 41, 187 (1985) [Sov. J. Nucl. Phys. 41,120 (1985)]Google Scholar
  7. 7.
    I. Bigi, N. Uraltsev, Nucl. Phys. B 423, 33 (1994)CrossRefADSGoogle Scholar
  8. 8.
    K. Melnikov, A. Yelkhovsky, Phys. Rev. D 59, 114009 (1999)CrossRefADSGoogle Scholar
  9. 9.
    A. Hoang, Phys. Rev. D 61, 034005 (2000)CrossRefADSGoogle Scholar
  10. 10.
    M. Beneke, A. Signer, Phys. Lett. B 471, 233 (1999)CrossRefADSGoogle Scholar
  11. 11.
    O. Buchmueller, H. Flaecher, Phys. Rev. D 73, 073008 (2006)CrossRefADSGoogle Scholar
  12. 12.
    D. Benson, I. Bigi, T. Mannel, N. Uraltsev, Nucl. Phys. B 665, 367 (2003)CrossRefADSGoogle Scholar
  13. 13.
    J.-M. Gerard, S. Trine, Phys. Rev. D 69, 113005 (2004)CrossRefADSGoogle Scholar
  14. 14.
    R. Zwicky, IPPP-05-72, DCPT-05-144 (in preparation)Google Scholar
  15. 15.
    M. Franz, M.V. Polyakov, K. Goeke, Phys. Rev. D 62, 074024 (2000)CrossRefADSGoogle Scholar
  16. 16.
    I. Bigi, M. Shifman, N.G. Uraltsev, Ann. Rev. Nucl. Part. Sci. 47, 591 (1997)CrossRefADSGoogle Scholar
  17. 17.
    N. Uraltsev, Phys. Lett. B 585, 253 (2004)CrossRefADSGoogle Scholar
  18. 18.
    N. Uraltsev, Phys. Lett. B 545, 337 (2002)CrossRefADSGoogle Scholar
  19. 19.
    R. Lebed, N. Uraltsev, Phys. Rev. D 62, 094011 (2000)CrossRefADSGoogle Scholar
  20. 20.
    G. ’t Hooft, Nucl. Phys. B 75, 461 (1974)CrossRefADSGoogle Scholar
  21. 21.
    N. Uraltsev, in: Proc. of the Continuous Advances in QCD 2004, ed. by T. Gherghetta (World Scientific, Singapore, 2004) p. 100 [hep-ph/0409125]Google Scholar
  22. 22.
    M. Shifman, A. Vainshtein, Phys. Rev. D 71, 074010 (2005)CrossRefADSGoogle Scholar
  23. 23.
    I.I. Bigi, M. Shifman, N.G. Uraltsev, A. Vainshtein, Phys. Rev. D 52, 196 (1995)CrossRefADSGoogle Scholar
  24. 24.
    D. Pirjol, N. Uraltsev, Phys. Rev. D 59, 034012 (1999)CrossRefADSGoogle Scholar
  25. 25.
    A. Chodos et al., Phys. Rev. D 9, 3471 (1974)CrossRefADSMathSciNetGoogle Scholar
  26. 26.
    B. Chibisov, R. Dikeman, M. Shifman, N.G. Uraltsev, Int. J. Mod. Phys. A 12, 2075 (1997)CrossRefADSGoogle Scholar
  27. 27.
    M. Shifman, in: Boris Ioffe Festschrift “At the Frontier of Particle Physics/Handbook of QCD”, ed. by M. Shifman (World Scientific, Singapore, 2001)Google Scholar
  28. 28.
    N. Uraltsev, Int. J. Mod. Phys. A 14, 4641 (1999)CrossRefADSGoogle Scholar
  29. 29.
    B. Blok, L. Koyrakh, M. Shifman, A. Vainshtein, Phys. Rev. D 49, 3356 (1994)CrossRefADSGoogle Scholar
  30. 30.
    P. Gambino, N. Uraltsev, Eur. Phys. J. C 34, 181 (2004)CrossRefADSGoogle Scholar
  31. 31.
    N. Uraltsev, Int. J. Mod. Phys. A 20, 2099 (2005)CrossRefADSGoogle Scholar
  32. 32.
    V. Aquila, P. Gambino, G. Ridolfi, N. Uraltsev, Nucl. Phys. B 719, 77 (2005)zbMATHCrossRefADSGoogle Scholar
  33. 33.
    S.J. Brodsky, S. Gardner, Phys. Rev. D 65, 054016 (2002)CrossRefADSGoogle Scholar
  34. 34.
    A.I. Vainshtein, V.I. Zakharov, M.A. Shifman, JETP Lett. 22, 55 (1975) [Pisma Zh. Eksp. Teor. Fiz. 22, 123 (1975)]ADSGoogle Scholar
  35. 35.
    M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 120, 316 (1977)CrossRefADSGoogle Scholar
  36. 36.
    I. Bigi, N. Uraltsev, Phys. Lett. B 280, 271 (1992)CrossRefADSGoogle Scholar
  37. 37.
    V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Fortschr. Phys. 32, 585 (1985)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Notre Dame du LacNotre DameUSA
  2. 2.INFN, Sezione di MilanoMilanItaly
  3. 3.Theory DivisionCERNGenevaSwitzerland
  4. 4.William Fine Theoretical Physics InstituteUniversity MinnesotaMinneapolisUSA
  5. 5.IPPP, Department of PhysicsUniversity of DurhamDurhamUK

Personalised recommendations