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Título: | Dissecting the Δ I= 1 / 2 rule at large Nc |
Autor: | Donini, Andrea CSIC ORCID; Hernández Gamazo, Pilar CSIC ORCID; Pena, C.; Romero-López, F. | Fecha de publicación: | jul-2020 | Editor: | Springer Nature | Citación: | European Physical Journal C 80: 638 (2020) | Resumen: | We study the scaling of kaon decay amplitudes with the number of colours, N, in a theory with four degenerate flavours, N= 4. In this scenario, two current-current operators, Q, mediate Δ S= 1 transitions, such as the two isospin amplitudes of non-leptonic kaon decays for K→ (ππ) , A and A. In particular, we concentrate on the simpler K→ π amplitudes, A, mediated by these two operators. A diagrammatic analysis of the large-N scaling of these observables is presented, which demonstrates the anticorrelation of the leading O(1 / N) and O(Nf/Nc2) corrections in both amplitudes. Using our new N= 4 and previous quenched data, we confirm this expectation and show that these corrections are naturally large and may be at the origin of the Δ I= 1 / 2 rule. The evidence for the latter is indirect, based on the matching of the amplitudes to their prediction in Chiral Perturbation Theory, from which the LO low-energy couplings of the chiral weak Hamiltonian, g, can be determined. A NLO estimate of the K→ (ππ) isospin amplitudes can then be derived, which is in good agreement with the experimental value. | Versión del editor: | http://dx.doi.org/10.1140/epjc/s10052-020-8192-3 | URI: | http://hdl.handle.net/10261/220801 | DOI: | 10.1140/epjc/s10052-020-8192-3 | Identificadores: | doi: 10.1140/epjc/s10052-020-8192-3 issn: 1434-6052 |
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