Towards $B \to V γ$ Decays at NNLO in SCET

Details Towards $B \to V γ$ Decays at NNLO in SCET Towards $B \to V γ$ Decays at NNLO in SCET

2007-09-27

arxiv.org/abs/0709.4422v2

Eur.Phys.J.C55:577-595,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 2 figures; text modified in sections 3 and 4, added 3 equations [(23),(40),(46)] and corrected Eq. (39); added 4 ref

Scientific paper

10.1140/epjc/s10052-008-0623-5

We compute NNLO (${\cal O}(\alpha_s^2)$) corrections to the hard-scattering kernels entering the QCD factorization formula for $B\to V\gamma$ decays, where $V$ is a light vector meson. We give complete NNLO results for the dipole operators $Q_7$ and $Q_8$, and partial results for $Q_1$ valid in the large-$\beta_0$ 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 $B\to K^*\gamma$ and $B_s\to \phi\gamma$ decays at NNLO and compare them with the current experimental data.

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