Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD

Details Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD

2003-05-09

arxiv.org/abs/hep-ph/0305104v2

JHEP 0305:027,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 8 figures, LaTeX file. Couple of references added

Scientific paper

10.1088/1126-6708/2003/05/027

We present new results for the matrix elements of the Q_6 and Q_4 penguin operators, evaluated in a large-Nc approach which incorporates important O(N_c^2\frac{n_f}{N_c}) unfactorized contributions. Our approach shows analytic matching between short- and long-distance scale dependences within dimensional renormalization schemes, such as MS-bar. Numerically, we find that there is a large positive contribution to the Delta I =1/2 matrix element of Q_6 and hence to the direct CP-violation parameter epsilon'/epsilon. We also present results for the Delta I = 1/2 rule in K -> pi pi amplitudes, which incorporate the related and important ``eye-diagram'' contributions of O(N_c^2\frac{1}{N_c}) from the Q_2 operator (i.e. the penguin-like contraction). The results lead to an enhancement of the Delta I = 1/2 effective coupling. The origin of the large unfactorized contributions which we find is discussed in terms of the relevant scales of the problem.

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