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

نویسندگان

  • Matthias Jamin
  • Antonio Pich
چکیده

The 2–point functions for ∆S = 1 current-current and QCD-penguin operators, as well as for the ∆S = 2 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 scaleand scheme-invariant combinations of spectral 2–point functions and corresponding Wilson-coefficients are constructed and analyzed. For ∆S = 1, the QCD corrections to the CP-conserving part, dominated by current-current operators, are 40%–120% at q = (1− 3GeV), 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 ∆I = 1/2 transitions. In the ∆S = 2 sector the QCD corrections are quite moderate (≈ −20%). CERN–TH.7151/94 February 1994

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تاریخ انتشار 1994