期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP06(2015)175
关键词
Effective field theories; Chiral Lagrangians
资金
- National Natural Science Foundation of China (NSFC) [11105038]
- Natural Science Foundation of Hebei Province [A2015205205]
- Education Department of Hebei Province [YQ2014034]
- Department of Human Resources and Social Security of Hebei Province [C201400323]
- Doctor Foundation of Hebei Normal University [L20101304]
- Spanish Government (MINECO)
- European Commission (ERDE) [FPA201017747, FPA2013-44773-P, FPA2013-40483-P, SEV-2012-0249, CSD2007-00042]
- MINECO (Spain) [FIS2014-57026-REDT]
- EPOS network of the European Community Research Infrastructure Integrating Activity Study of Strongly Interacting Matter (HadronPhysics3) [283286]
We study the eta-eta' 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 eta-eta' 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(eta), m(eta') 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 pi, K, eta and 7 eta', 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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