Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-02-11
Phys.Rev. D58 (1998) 014017
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, LaTeX, 8 eps figures. One reference added, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.58.014017
We calculate long-distance contributions to the amplitudes A(K^0 --> pi pi, I) induced by the gluon and the electroweak penguin operators Q_6 and Q_8, respectively. We use the 1/N_c expansion within the effective chiral lagrangian for pseudoscalar mesons. In addition, we adopt a modified prescription for the identification of meson momenta in the chiral loop corrections in order to achieve a consistent matching to the short-distance part. Our approach leads to an explicit classification of the loop diagrams into non-factorizable and factorizable, the scale dependence of the latter being absorbed in the low-energy coefficients of the effective theory. Along these lines we calculate the one-loop corrections to the O(p^0) term in the chiral expansion of both operators. In the numerical results, we obtain moderate corrections to B_6^(1/2) and a substantial reduction of B_8^(3/2).
Bardeen William A.
Hambye Thomas
Koehler Gerhard O.
Paschos Emmanuel A.
Soldan Peter H.
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