Scrutinizing the η-η′ mixing, masses and pseudoscalar decay constants in the framework of U(3) chiral effective field theory
Publisher
Springer VerlagDate
2015-06-01Citation
10.1007/JHEP06(2015)175
Journal of High Energy Physics 2015.6 (2015): 175
ISSN
1126-6708 (print); 1029-8479 (online)DOI
10.1007/JHEP06(2015)175Funded by
We thank Shao-Zhou Jiang for communication on the updated values of the O(p6)LECs. This work is supported in part by the National Natural Science Foundation of China (NSFC) under Grant No. 11105038, the Natural Science Foundation of Hebei Province with contract No. A2015205205, the grants from the Education Department of Hebei Province under contract No. YQ2014034, the grants from the Department of Human Resources and Social Security of Hebei Province with contract No. C201400323, and the Doctor Foundation of Hebei Normal University under Contract No. L2010B04, the Spanish Government (MINECO) and the European Commission (ERDF) [FPA2010-17747, FPA2013-44773-P, FPA2013-40483-P, SEV-2012-0249 (Severo Ochoa Program), CSD2007-00042 (Consolider Project CPAN)], the grants with contract No. FIS2014-57026-REDT from MINECO (Spain), and EPOS network of the European Community Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics3, Grant No. 283286)Project
Gobierno de España. SEV-2012-0249; Gobierno de España. FPA2010-17747; Gobierno de España. FPA2013-44773-P; Gobierno de España. FPA2013-40483-P; Gobierno de España. CSD2007-00042; Gobierno de España. FIS2014-57026-REDT; info:eu-repo/grantAgreement/EC/FP7/283286Editor's Version
http://dx.doi.org/10.1007/JHEP06(2015)175Subjects
Chiral Lagrangians; Effective field theories; FísicaNote
Journal of High Energy Physics 2015.6 (2015): 175 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)Rights
© 2015, The Author(s)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 mη, mη ′ and mK 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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Google Scholar:Guo, XK
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Guo, ZH
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Oller, José Antonio
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Sanz Cillero, Juan José
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