Abstract
We present the calculation of the short-distance power corrections to the CP-violation parameter εK coming from dimension-8 operators in the ∆S = 2 effective Hamiltonian. A first estimate of this contribution, obtained for large-Nc and in the chiral limit, was provided in ref. [1]. Here we evaluate and include the \( \mathcal{O}\left({m}_K^2/{m}_c^2\right) \) and \( \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}^2/{m}_c^2\right) \) contributions that, a priori, could induce \( \mathcal{O} \)(1) corrections to previous estimates, as mK is numerically of order ΛQCD. Our computation shows that there are several dimension-8 operators besides the one considered before. Their effect on εK, however, accidentally cancels out to a large extent, leaving the final correction at the level of 1%.
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Ciuchini, M., Franco, E., Lubicz, V. et al. Power corrections to the CP-violation parameter εK. J. High Energ. Phys. 2022, 181 (2022). https://doi.org/10.1007/JHEP02(2022)181
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DOI: https://doi.org/10.1007/JHEP02(2022)181