Non-leptonic kaon decays at large Nc
Instituto de Física Corpuscular (CSIC-UVEG), E-46071 Valencia, Spain
2 Departamento de Física Teórica and Instituto de Física Teórica UAM-CSIC, Universidad Autónoma de Madrid, E-28049 Madrid, Spain
3 Helmholtz Institut für Strahlen-und Kernphysik, University of Bonn, Bonn, Germany
* Speaker, e-mail: email@example.com
Published online: 26 March 2018
We study the scaling with the number of colors Nc of the weak amplitudes mediating kaon mixing and decay, in the limit of light charm masses (mu = md = ms = mc). The amplitudes are extracted directly on the lattice for Nc = 3 - 7 (with preliminar results for Nc = 8 and 17) using twisted mass QCD. It is shown that the (sub-leading) 1 /Nc corrections to are small and that the naive Nc → ∞ limit, = 3/4, seems to be recovered. On the other hand, the O (1/Nc) corrections in K → ππ amplitudes (derived from K → π matrix elements) are large and fully anti-correlated in the I = 0 and I = 2 channels. This may have some implications for the understanding of the ΔI = 1/2 rule.
© The Authors, published by EDP Sciences, 2018
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