Heavy-to-light currents at NNLO in SCET and semi-inclusive anti-B ---> X(s) l+ l- decay

Abstract

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 anti-B ---> 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 +0.22 -0.25) GeV^2 for an invariant mass cut m_X^cut=2.0 GeV.

38 pages, 5 figures. The renormalized form factors and matching coefficients are attached in electronic form to the source of the present submission

References in corpus (18)

• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• Logarithmically Enhanced Corrections to the Decay Rate and Forward Backward Asymmetry in anti-B --> X(s) l+ l-
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• Fermionic Corrections to the Heavy-Quark Pair Production in the Quark-Antiquark Channel
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Radiative and Electroweak Penguin Decays of B Mesons
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Penguins with Charm and Quark-Hadron Duality
• Towards $B\to V\gamma$ Decays at NNLO in SCET
• SCET sum rules for B->P and B->V transition form factors
• NNLO corrections to B --> X_u l nu in the shape-function region
• Extracting short distance information from b -> s l+ l- effectively
• Higher order QCD corrections in exclusive charmless B decays
• On a two-loop crossed six-line master integral with two massive lines
• Constraining new physics with B to K* mu+ mu- in the early LHC era
• Nonperturbative m_X cut effects in B -> Xs l+ l- observables

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