Fermionic NNLL corrections to b -> s γ

Details Fermionic NNLL corrections to b -> s γ Fermionic NNLL corrections to b -> s γ

2003-02-07

arxiv.org/abs/hep-ph/0302051v2

Phys.Rev.D67:114019,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages, result extended to allow for an explicit photon energy cut-off, appendix and references added, final result and conl

Scientific paper

10.1103/PhysRevD.67.114019

In this paper we take the first step towards a complete next-to-next-to-leading logarithmic (NNLL) calculation of the inclusive decay rate for $B \to X_s\gamma$. We consider the virtual corrections of order $\alphas^2 n_f$ to the matrix elements of the operators ${O}_1$, ${O}_2$ and ${O}_8$ and evaluate the real and virtual contributions to ${O}_7$. These corrections are expected to be numerically important. We observe a strong cancelation between the contributions from the current-current operators and $O_7$ and obtain, after applying naive non-abelianization, a reduction of the branching ratio of 3.9% (for $\mu=3.0$ GeV) and an increase of 3.4% (for $\mu=9.6$ GeV).

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