Two-loop matching of the dipole operators for $b \to s γ$ and $b \to s gluon$

Details Two-loop matching of the dipole operators for $b \to s γ$ and $b \to s gluon$ Two-loop matching of the dipole operators for $b \to s γ$ and $b \to s gluon$

1997-03-18

arxiv.org/abs/hep-ph/9703349v1

Phys.Rev. D56 (1997) 2934-2949

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, latex, 6 figures included

Scientific paper

10.1103/PhysRevD.56.2934

The order $\alpha_s$ corrections to the Wilson coefficients of the dipole operators ($O_7,O_8$) at the matching scale $\mu =m_W$ are a crucial ingredient for a complete next- to-leading logarithmic calculation of the branching ratio for $b \to s \gamma$. Given the phenomenological relevance and the fact that this two-loop calculation has been done so far only by one group [1], we present a detailed re-calculation using a different method. Our results are in complete agreement with those in ref. [1].

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