epsilon'/epsilon in the 1/Nc Expansion
Hambye, T. · Soldan, P. H.
Original · EN
We present a new analysis of the ratio epsilon'/epsilon which measures the direct CP violation in K→ππdecays. We use the 1/Nc expansion within the framework of the effective chiral lagrangian for pseudoscalar mesons. From general counting arguments we show that the matrix element of the operator Q₆ is not protected from possible large 1/Nc corrections beyond its large-Nc or VSA value. Calculating the 1/Nc corrections, we explicitly find that they are large and positive. Our result indicates that a ΔI=1/2 enhancement is operative for Q₆ similar to the one of Q₁ and Q₂ which dominate the CP conserving amplitude. This enhances epsilon'/epsilon and can bring the standard model prediction close to the measured value for central values of the parameters.
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