What question did this study set out to answer?

To analyze the impact of 1/Nc corrections on the epsilon'/epsilon ratio in particle physics.

March 5, 2026Open Access

1/Nc and e'/e

Key Points

To analyze the impact of 1/Nc corrections on the epsilon'/epsilon ratio in particle physics.
Utilized the 1/Nc expansion framework to assess matrix elements
Examined corrections to the matrix element of Q_6
Compared the enhancements to the CP-conserving amplitudes of Q_1 and Q_2
1/Nc corrections to Q_6 are large and positive
Indicates a Delta I = 1/2 enhancement similar to Q_1 and Q_2
Enhances the CP ratio, aligning standard model predictions with measured values

Abstract

We present a recent analysis of epsilon'/epsilon in the 1/Nc expansion. We show that the 1/Nc corrections to the matrix element of Q₆ are large and positive, indicating a Delta I = 1/2 enhancement similar to the one of Q₁ and Q₂ which dominate the CP conserving amplitude. This enhances the CP ratio and can bring the standard model prediction close to the measured value for central values of the parameters. Several comments on the theoretical status of epsilon'/epsilon and the errors in its calculation are given.

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