Heavy-to-light currents at NNLO in SCET and semi-inclusive (B)over-bar → Xsl+l- decay

We perform the two-loop matching calculation for heavy-to-light currents from QCD onto soft-collinear effective theory for the complete set of Dirac structures. The newly obtained matching coefficients enter several phenomenological applications, of which we discuss heavy-to-light form factor ratios and exclusive radiative decays. as well as the semi-inclusive decay (B) over bar -> X(s)l(+)l(-). For this decay, we observe a significant shift of the forward-backward asymmetry zero and find q(0)(2) = (3.34(-0.25)(+0.22)) GeV2 for an invariant mass cut, m(X)(cut) = 2.0 GeV. (C) 2010 Elsevier B.V. All rights reserved.