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 — preprints:1997:ttp97-05 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP97-05 Two-loop QCD corrections to semileptonic b decays at maximal recoil ====== + + + We present a complete ${\cal O}(\alpha_s^2)$ correction to the + differential width of the inclusive semileptonic decay $b\to cl\nu_l$ + at the kinematical point of vanishing invariant mass of the leptons, + $q^2=0$.  Together with the recently computed ${\cal O}(\alpha_s^2)$ + correction at the upper boundary of the lepton invariant mass + spectrum, this new information permits an estimate of the ${\cal + O}(\alpha_s^2)$ effect in the total inclusive semileptonic decay width + $b\to cl\nu_l$. We argue that the non-BLM part of the ${\cal + O}(\alpha_s^2)$ correction gives at most $1\%$ correction to the + inclusive semileptonic decay width $b\to cl\nu_l$. This significantly + improves the credibility of extracting $|V_{cb}|$ from the inclusive + semileptonic decays of the $b$-hadrons. + + + |**Andrzej Czarnecki and Kirill Melnikov**  | + |** Phys. Rev. Lett. 78 3630 1997  **  | + | {{preprints:1997:ttp97-05.pdf|PDF}} {{preprints:1997:ttp97-05.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9703291|arXiv]]   | + | |