EPJ Web Conf.
Volume 175, 201835th International Symposium on Lattice Field Theory (Lattice 2017)
|Number of page(s)||8|
|Section||13 Weak Decays and Matrix Elements|
|Published online||26 March 2018|
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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