Abstract
We study the η-η′ mixing up to next-to-next-to-leading-order in U(3) chiral perturbation theory in the light of recent lattice simulations and phenomenological inputs. A general treatment for the η-η′ mixing at higher orders, with the higher-derivative, kinematic and mass mixing terms, is addressed. The connections between the four mixing parameters in the two-mixing-angle scheme and the low energy constants in the U(3) chiral effective theory are provided both for the singlet-octet and the quark-flavor bases. The axial-vector decay constants of pion and kaon are studied in the same order and confronted with the lattice simulation data as well. The quark-mass dependences of m η , m η ′ and m K are found to be well described at next-to-leading order. Nonetheless, in order to simultaneously describe the lattice data and phenomenological determinations for the properties of light pseudoscalars π, K, η and η′, the next-to-next-to-leading order study is essential. Furthermore, the lattice and phenomenological inputs are well reproduced for reasonable values of low the energy constants, compatible with previous bibliography.
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Guo, XK., Guo, ZH., Oller, J.A. et al. Scrutinizing the η-η′ mixing, masses and pseudoscalar decay constants in the framework of U(3) chiral effective field theory. J. High Energ. Phys. 2015, 175 (2015). https://doi.org/10.1007/JHEP06(2015)175
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DOI: https://doi.org/10.1007/JHEP06(2015)175