Fermionic next-to-next-to leading logarithmic corrections tob→sγ

2003/02/28 by K. Bieri, Kay Bieri, C. Greub +2 · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.67.114019

published as Phys.Rev.D67:114019,2003 · 38 pages, result extended to allow for an explicit photon energy cut-off, appendix and references added, final result and conlclusions unchanged

arxiv created 2003/06/04 · openalex publication_date 2003/06/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 \stackrel\ensuremath→BX_s\ensuremathγ. We consider the virtual corrections of the order of \ensuremathα_s²n_f to the matrix elements of the operators O₁, O₂ and O₈ and evaluate the real and virtual contributions to O₇. These corrections are expected to be numerically important. We observe a strong cancellation between the contributions from the current-current operators and O₇ and obtain, after applying naive non-Abelianization, a reduction of the branching ratio of 3.9% (for \ensuremathμ=3.0GeV) and an increase of 3.4% (for \ensuremathμ=9.6GeV).

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