Summing next-to-next-to-leading logarithms in b ---> c transitions at zero recoil

Sep, 2005
10 pages
e-Print:
Report number:
  • TTP05-19,
  • SFB-CPP-05-65

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Abstract:
Perturbative corrections to b->c transitions at zero recoil are considered in the two-step matching scheme. The matching coefficient for the b->c currents from the intermediate effective theory (between the scales m_b and m_c) to the low-energy effective theory (scales below m_c) has been found with two-loop accuracy. The next-to-next-to-leading logarithms has been summed in the leading order in m_c/m_b. Higher-order corrections are estimated in the large-beta_0 limit.
  • 12.38.Bx
  • 12.39.Hg
  • bottom
  • quark: semileptonic decay
  • charm
  • quantum chromodynamics: perturbation theory
  • leading logarithm approximation: higher-order
  • HQET model
  • recoil: 0
  • numerical calculations