The European Physical Journal C

, Volume 59, Issue 4, pp 831–840 | Cite as

Inclusive measure of |V ub | with the analytic coupling model

  • U. Aglietti
  • F. Di Lodovico
  • G. Ferrera
  • G. Ricciardi
Regular Article - Theoretical Physics

Abstract

By analyzing BX u ν spectra with a model based on soft-gluon resummation and an analytic time-like QCD coupling, we obtain
$$|V_{ub}|=(3.76\pm0.13\pm0.22)\times10^{-3},$$
where the first and the second error refer to experimental and theoretical error, respectively. This model successfully describes the accurate experimental data in beauty fragmentation, which has similar soft-gluon effects. The |V ub | value is obtained from the available measured semileptonic branching fractions in limited regions of the phase space. The distributions in the lepton energy E , the hadron invariant mass m X , the light-cone momentum \(P_{+}\equiv E_{X}-|\vec{p}_{X}|\) , together with the double distributions in (m X ,q 2) and (E ,s h max  ), are used to select the phase-space regions. q 2 is the dilepton squared momentum and s h max is the maximal m X 2 at fixed q 2 and E . The |V ub | value obtained is in complete agreement with the value coming from exclusive B decays and from an over-all fit to the standard model parameters. We show that the slight disagreement (up to +2σ) with respect to previous inclusive measurements is not related to different choices for the b (and c) masses, but to a different modeling of the threshold (Sudakov) region.

Keywords

High Energy Phys Threshold Region Belle Collaboration Hard Scale Pole Scheme 

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References

  1. 1.
    U. Aglietti, G. Ferrera, G. Ricciardi, Nucl. Phys. B 768, 85 (2007). arXiv:hep-ph/0608047 CrossRefADSGoogle Scholar
  2. 2.
    N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963) CrossRefADSGoogle Scholar
  3. 3.
    M. Kobayashi, T. Maskawa, Prog. Theor. Phys. 49, 652 (1973) CrossRefADSGoogle Scholar
  4. 4.
    B. Grinstein, in The Proceedings of 5th Flavor Physics and CP Violation Conference (FPCP 2007), Bled, Slovenia, 12–16 May 2007, p. 005. arXiv:0706.4173 [hep-ph]
  5. 5.
    D.V. Shirkov, I.L. Solovtsov, Phys. Rev. Lett. 79, 1209 (1997). arXiv:hep-ph/9704333 CrossRefADSGoogle Scholar
  6. 6.
    U. Aglietti, G. Corcella, G. Ferrera, Nucl. Phys. B 775, 162 (2007). arXiv:hep-ph/0610035 CrossRefADSGoogle Scholar
  7. 7.
    G. Altarelli, N. Cabibbo, G. Corbò, L. Maiani, G. Martinelli, Nucl. Phys. B 208, 365 (1982) CrossRefADSGoogle Scholar
  8. 8.
    S. Catani, M.L. Mangano, P. Nason, L. Trentadue, Phys. Lett. B 378, 329 (1996). arXiv:hep-ph/9602208 CrossRefADSGoogle Scholar
  9. 9.
    U. Aglietti, G. Ricciardi, Phys. Rev. D 70, 114008 (2004). arXiv:hep-ph/0407225 CrossRefADSGoogle Scholar
  10. 10.
    U. Aglietti, G. Ricciardi, G. Ferrera, Phys. Rev. D 74, 034004 (2006). arXiv:hep-ph/0507285 CrossRefADSGoogle Scholar
  11. 11.
    U. Aglietti, G. Ricciardi, G. Ferrera, Phys. Rev. D 74, 034005 (2006). arXiv:hep-ph/0509095 CrossRefADSGoogle Scholar
  12. 12.
    U. Aglietti, G. Ricciardi, G. Ferrera, Phys. Rev. D 74, 034006 (2006). arXiv:hep-ph/0509271 CrossRefADSGoogle Scholar
  13. 13.
    E. Barberio et al., arXiv:0808.1297 [hep-ex], and online HFAG updates for ICHEP08
  14. 14.
    M. Bona et al. (UTfit Collaboration), J. High Energy Phys. 0610, 081 (2006). arXiv:hep-ph/0606167 Google Scholar
  15. 15.
    M. Bona et al. (UTfit Collaboration), J. High Energy Phys. 0603, 080 (2006). arXiv:hep-ph/0509219 Google Scholar
  16. 16.
    G. Isidori, P. Paradisi, Phys. Lett. B 639, 499 (2006). arXiv:hep-ph/0605012 CrossRefADSGoogle Scholar
  17. 17.
    W. Altmannshofer, A.J. Buras, D. Guadagnoli, M. Wick, arXiv:0706.3845 [hep-ph]
  18. 18.
    A.K. Leibovich, I. Low, I.Z. Rothstein, Phys. Rev. D 61, 053006 (2000). arXiv:hep-ph/9909404 CrossRefADSGoogle Scholar
  19. 19.
    R. Akhoury, I.Z. Rothstein, Phys. Rev. D 54, 2349 (1996). arXiv:hep-ph/9512303 CrossRefADSGoogle Scholar
  20. 20.
    A.K. Leibovich, I. Low, I.Z. Rothstein, Phys. Lett. B 486, 86 (2000). arXiv:hep-ph/0005124 CrossRefADSGoogle Scholar
  21. 21.
    M. Neubert, Phys. Lett. B 513, 88 (2001). arXiv:hep-ph/0104280 CrossRefADSGoogle Scholar
  22. 22.
    B.O. Lange, M. Neubert, G. Paz, J. High Energy Phys. 0510, 084 (2005). arXiv:hep-ph/0508178 CrossRefADSGoogle Scholar
  23. 23.
    C.W. Bauer, Z. Ligeti, M.E. Luke, Phys. Rev. D 64, 113004 (2001). arXiv:hep-ph/0107074 CrossRefADSGoogle Scholar
  24. 24.
    E. Gardi, J. High Energy Phys. 0404, 049 (2004). arXiv:hep-ph/0403249 CrossRefADSGoogle Scholar
  25. 25.
    J.R. Andersen, E. Gardi, J. High Energy Phys. 0601, 097 (2006). arXiv:hep-ph/0509360 CrossRefADSGoogle Scholar
  26. 26.
    S.W. Bosch, B.O. Lange, M. Neubert, G. Paz, Nucl. Phys. B 699, 335 (2004). arXiv:hep-ph/0402094 CrossRefADSGoogle Scholar
  27. 27.
    B.O. Lange, M. Neubert, G. Paz, Phys. Rev. D 72, 073006 (2005). arXiv:hep-ph/0504071 CrossRefADSGoogle Scholar
  28. 28.
    P. Gambino, P. Giordano, G. Ossola, N. Uraltsev, J. High Energy Phys. 0710, 058 (2007). arXiv:0707.2493 [hep-ph] CrossRefADSGoogle Scholar
  29. 29.
    U. Aglietti, Nucl. Phys. B 610, 293 (2001). arXiv:hep-ph/0104020 CrossRefADSGoogle Scholar
  30. 30.
    S. Catani, L. Trentadue, Nucl. Phys. B 327, 323 (1989) CrossRefADSGoogle Scholar
  31. 31.
    G. Sterman, Nucl. Phys. B 281, 310 (1987) CrossRefADSGoogle Scholar
  32. 32.
    C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008) CrossRefADSGoogle Scholar
  33. 33.
    Y. Nir, Phys. Lett. B 221, 184 (1989) CrossRefADSGoogle Scholar
  34. 34.
    I.I.Y. Bigi, M.A. Shifman, N. Uraltsev, A.I. Vainshtein, Phys. Rev. D 56, 4017 (1997). arXiv:hep-ph/9704245 CrossRefADSGoogle Scholar
  35. 35.
    I.I.Y. Bigi, M.A. Shifman, N. Uraltsev, A.I. Vainshtein, Phys. Rev. D 56, 4017 (1997). arXiv:hep-ph/9704245 CrossRefADSGoogle Scholar
  36. 36.
    A.H. Hoang, T. Teubner, Phys. Rev. D 60, 114027 (1999). arXiv:hep-ph/9904468 CrossRefADSGoogle Scholar
  37. 37.
    M. Beneke, Phys. Rev. D 434, 115 (1998) Google Scholar
  38. 38.
    A.H. Hoang, Z. Ligeti, A.V. Manohar, Phys. Rev. Lett. 82, 277 (1999) CrossRefADSGoogle Scholar
  39. 39.
    C.W. Bauer, Z. Ligeti, M. Luke, A. Manohar, M. Trott, Phys. Rev. D 70, 094017 (2004). arXiv:hep-ph/0408002v3 CrossRefADSGoogle Scholar
  40. 40.
    U. Aglietti, Phys. Lett. B 281, 341 (1992) CrossRefADSGoogle Scholar
  41. 41.
    A.H. Hoang, A.V. Manohar, Phys. Lett. B 633, 526 (2006). arXiv:hep-ph/0509195 CrossRefADSGoogle Scholar
  42. 42.
    O. Buchmuller, H. Flacher, Phys. Rev. D 73, 073008 (2006). arXiv:hep-ph/0507253 CrossRefADSGoogle Scholar
  43. 43.
    A. Czarnecki, M. Jezabek, J.H. Kuhn, Phys. Lett. B 346, 335 (1995). arXiv:hep-ph/9411282 CrossRefADSGoogle Scholar
  44. 44.
    B. Aubert et al. (BaBar Collaboration), Phys. Rev. D 73, 012006 (2006). arXiv:hep-ex/0509040 CrossRefADSGoogle Scholar
  45. 45.
    A. Limosani et al. (Belle Collaboration), Phys. Lett. B 621, 28 (2005). arXiv:hep-ex/0504046 CrossRefADSGoogle Scholar
  46. 46.
    A. Bornheim et al. (CLEO Collaboration), Phys. Rev. Lett. 88, 231803 (2002). arXiv:hep-ex/0202019 CrossRefADSGoogle Scholar
  47. 47.
    B. Aubert et al. (BaBar Collaboration), arXiv:0708.3702 [hep-ex], accepted by PRL
  48. 48.
    I. Bizjak et al. (Belle Collaboration), Phys. Rev. Lett. 95, 241801 (2005). arXiv:hep-ex/0505088 CrossRefADSGoogle Scholar
  49. 49.
    H. Kakuno et al. (Belle Collaboration), Phys. Rev. Lett. 92, 101801 (2004). arXiv:hep-ex/0311048 CrossRefADSGoogle Scholar
  50. 50.
    B. Aubert et al. (BaBar Collaboration), Phys. Rev. Lett. 95, 111801 (2005). Erratum-ibid. 97, 019903 (2006), arXiv:hep-ex/0506036 CrossRefADSGoogle Scholar
  51. 51.
    R. Barlow, IPPP/02/39. arXiv:hep-ex/0207026
  52. 52.
    T. van Ritbergen, Phys. Lett. B 454, 353 (1999). arXiv:hep-ph/9903226 CrossRefADSGoogle Scholar
  53. 53.
    A. Czarnecki, K. Melnikov, Phys. Rev. D 59, 014036 (1999). arXiv:hep-ph/9804215 CrossRefADSGoogle Scholar
  54. 54.
    I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev, A.I. Vainshtein, Int. J. Mod. Phys. A 9, 2467 (1994). arXiv:hep-ph/9312359 CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  • U. Aglietti
    • 1
  • F. Di Lodovico
    • 2
  • G. Ferrera
    • 3
  • G. Ricciardi
    • 4
  1. 1.Dip. Fis.Univ. di Roma I “La Sapienza” & INFN RomaRomaItaly
  2. 2.Dep. of Phys.Queen Mary, University of LondonLondonUK
  3. 3.Dip. Fis.Univ. di Firenze & INFN FirenzeSesto FiorentinoItaly
  4. 4.Dip. Scienze Fis.Univ. di Napoli “Federico II” & INFN NapoliNapoliItaly

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