Electroweak Penguin Contributions to Non - Leptonic ∆ F = 1 Decays at NNLO

نویسندگان

  • Andrzej J. Buras
  • Paolo Gambino
  • Ulrich A. Haisch
چکیده

We calculate the O(αs) corrections to the Z-penguin and electroweak box diagrams relevant for non-leptonic ∆F = 1 decays with F = S,B. This calculation provides the complete O(αWαs) and O(αWαs sin θWmt ) corrections (αW = α/ sin θW ) to the Wilson coefficients of the electroweak penguin four quark operators relevant for non-leptonic Kand B-decays. We argue that this is the dominant part of the next-next-to-leading (NNLO) contributions to these coefficients. Our results allow to reduce considerably the uncertainty due to the definition of the top quark mass present in the existing NLO calculations of non-leptonic decays. The NNLO corrections to the coefficient of the color singlet (V − A) ⊗ (V − A) electroweak penguin operator Q9 relevant for B-decays are generally moderate, amount to a few percent for the choice mt(μt = mt) and depend only weakly on the renormalization scheme. Larger NNLO corrections with substantial scheme dependence are found for the coefficients of the remaining electroweak penguin operators Q7, Q8 and Q10. In particular, the strong scheme dependence of the NNLO corrections to C8 allows to reduce considerably the scheme dependence of C8〈Q8〉2 relevant for the ratio ε/ε. Address after November 1, 1999, Theory Division, CERN, CH-1211 Geneva 23, Switzerland.

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تاریخ انتشار 1999