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QCD corrections to inclusive ΔS = 1, 2 transitions at the next-to-leading order

1994/02/28 by Matthias Jamin, Antonio Pich · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0550-3213(94)90171-6

published as Nucl.Phys. B425 (1994) 15-38 · 28 pages, CERN-TH.7151/94, FTUV/94-6, IFIC/94-3, 3 figures and 4 macros included as uuencoded tar-file

arxiv created 1994/03/01 · openalex publication_date 1994/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

The 2--point functions for ΔS=1 current-current and QCD-penguin operators, as well as for the \ds operator, are calculated at the next-to-leading order. The calculation is performed in two different renormalization schemes for γ5, and the compatibility of the results obtained in the two schemes is verified. The scale- and scheme-invariant combinations of spectral 2--point functions and corresponding Wilson-coefficients are constructed and analyzed. For ΔS=1, the QCD corrections to the CP-conserving part, dominated by current-current operators, are 40%--120% at q2=(1-3 \rm GeV)2, whereas the correction to the imaginary part, mainly coming from the penguin operator Q6, are 100%--240%. The large size of the gluonic corrections to current-current operators provides a qualitative understanding of the observed enhancement of ΔI=1/2 transitions. In the ΔS=2 sector the QCD corrections are quite moderate (≈ -20%).

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