Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-03-11
Phys.Rev.Lett. 78 (1997) 3630-3633
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, revtex
Scientific paper
10.1103/PhysRevLett.78.3630
We present a complete $O(\alpha_s^2)$ 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 $O(\alpha_s^2)$ correction at the upper boundary of the lepton invariant mass spectrum, this new information permits an estimate of the $O(\alpha_s^2)$ effect in the total inclusive semileptonic decay width $b\to cl\nu_l$. We argue that the non-BLM part of the $O(\alpha_s^2)$ 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.
Czarnecki Andrzej
Melnikov Kirill
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