Three-loop QCD corrections and b-quark decays

Details Three-loop QCD corrections and b-quark decays Three-loop QCD corrections and b-quark decays

2004-08-02

arxiv.org/abs/hep-ph/0408021v1

Phys.Rev.D70:074016,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages

Scientific paper

10.1103/PhysRevD.70.074016

We present three-loop (NNNLO) corrections to the heavy-to-heavy quark transitions in the limit of equal initial and final quark masses. In analogy with the previously found NNLO corrections, the bulk of the result is due to the beta_0^2 alpha_s^3 corrections. The remaining genuine three-loop effects for the semileptonic b --> c decays are estimated to increase the decay amplitude by 0.2(2)%. The perturbative series for the heavy-heavy axial current converges very well.

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