2021/11/30 by M. Ciuchini, E. Franco, V. Lubicz +3
Mathematics · Medicine · Physics and Astronomy · #A priori and a posteriori #Algorithm #Combinatorics #Computation #Dimension (graph theory) #Hamiltonian (control theory) #Lambda #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Medical Imaging Techniques and Applications #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-ph
paper · pdf · doi:10.1007/jhep02(2022)181
23 pages, 2 figures. v2: added references and CKM parameter values. v3: matches published version
openalex publication_date 2022/02/01 · arxiv created 2022/02/14 · openalex created_date 2022/03/02 · arxiv updated 2022/03/09 · openalex updated_date 2026/08/06
We present the calculation of the short-distance power corrections to the CP-violation parameter εK coming from dimension-8 operators in the ΔS=2 effective Hamiltonian. A first estimate of this contribution, obtained for large-Nc and in the chiral limit, was provided in ref. [arXiv:hep-ph/0406094]. Here we evaluate and include the O(mK2/mc2) and O(ΛQCD2/mc2) contributions that, a priori, could induce 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%.