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An obvious isospin breaking correction to epsilon' of kinematical origin

2001/02/08 by Mahiko Suzuki, Suzuki, Mahiko
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0102108

3 pages with no figure in REVTEX

arxiv created 2001/02/08 · arxiv updated 2009/11/30

Abstract

Isospin breaking correction to the ΔI = 1/2 decay of K→ππ generates a large enough contribution to ε' through an induced ΔI = 3/2 amplitude in KL decay. Aside from the π-η and π-η' mixing contributions, there is a correction of kinematical origin due to the final-state π±0 mass difference, which is unambiguously calculable from the low-energy off-shell behavior of the K→ππ amplitude. This correction to ε' reduces the isospin breaking parameter ΩIB by 0.06, which is nearly one half of the π-η mixing effect computed with chiral Lagrangians to O(p2).

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