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Towards B→Vγ decays at NNLO in SCET

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Abstract

We compute NNLO (\(\mathcal{O}\)s 2)) corrections to the hard-scattering kernels entering the QCD factorization formula for B→Vγ decays, where V is a light vector meson. We give complete NNLO results for the dipole operators Q7 and Q8, and partial results for Q1 valid in the large-β0 limit and neglecting the NNLO correction from hard-spectator scattering. Large perturbative logarithms in the hard-scattering kernels are identified and resummed using soft-collinear effective theory. We use our results to estimate the branching fractions for B→K*γ and Bs→φγ decays at NNLO and compare them with the current experimental data.

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Ali, A., Pecjak, B. & Greub, C. Towards B→Vγ decays at NNLO in SCET. Eur. Phys. J. C 55, 577–595 (2008). https://doi.org/10.1140/epjc/s10052-008-0623-5

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