eta and eta’ physics in light-flavor chiral perturbation theory 郭郭郭 ( 郭郭郭郭郭郭 ) eta and eta’ physics in light- eta and eta’ physics in light- flavor chiral perturbation flavor chiral perturbation theory theory Zhi-Hui Guo ( 郭郭郭 ) Hebei Normal University ( 郭郭郭郭郭郭 ) 2015 郭郭郭郭郭郭郭郭郭 郭郭郭 ,, 8 郭 14 郭
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Eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 ) eta and eta’ physics in light-flavor chiral perturbation theory Zhi-Hui.
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eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-eta and eta’ physics in light-
flavor chiral perturbation theoryflavor chiral perturbation theory
Zhi-Hui Guo ( 郭志辉 )
Hebei Normal University ( 河北师范大学 )
2015手征有效场论研讨会,威海, 8 月 14日
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Outline:
1. Introduction
2. Decay processes involving eta and eta’
3. ChPT calculation of their mixing
4. Summary
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
1. Introduction• a rather old subjectη & η' :
• New revival for multiple interests (Th & Exp) Invisible decays (DM,BSM),
Spontaneous chiral symmetry breaking of QCD
U(1) axial anomaly of QCD
SU(3)-flavor symmetry breaking ……
BESIII: more than one million eta’
KLOE-2: around 25 millions eta
WASA-COSY, Crystal Ball/TAPS MAMI,
Jefferson-Lab, ……
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Talk by S.S.Fang from Chiral Dynamics 2015 at Pisa, Italy
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Lattice QCD starts to make precise simulations on eta/eta’• ETMC: C.Michael, et al., Phys.Rev.Lett 111,181602 (2013); PoS(Lattice 2013) 253
• UKQCD: E.B.Gregory, et al., Phys.Rev.D 86, 014504 (2012)
• RBC/UKQCD: Christ, et al., Phys.Rev.Lett.105,241601 (2010)
• HSC: J.J.Dudek, et al., Phys.Rev.D 83, 111502 (2011)
2, 'M v.s. mη η π
2v.s. mπφ
2/ ' v.s. mη η γγ πΓ
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
2. VPγ(*), Pγγ(*) and J/psi -> VP, Pγ(*) --- eta/eta’ in decay processes involving light vectors
and J/psi
Processes available from Exp:
(1) light flavor radiative decays involving η / η’
…
(2) J/psi decays involving η / η’
…
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
• Resonance Chiral Theory to handle light flavor resonances
The roadmap to build RChT: CCWZ formalism: Ecker et al., NPB’89
Advantages of RChT: (1) respect chiral symmetry at low energy
2) a general framework to include light-flavor resonances
3) successful to reproduce the chiral low energy constants
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Leutwyler, ‘97
Phenomenologically explored by many groups: Escribano, Feldmann, Goity, Pennington, Pham,Thomas, … …
Modern recipe: the two-mixing angle scheme
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Fπ and FK are also calculated to the same order.
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Now the mixing parameters ( FNow the mixing parameters ( F00 F F88 θ0 θ8 )are calculated in terms of the chiral low energy constants up to NNLO !
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Numerical discussions Numerical discussions
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )
Summary and ProspectsSummary and Prospects• Successful descriptions for the light-meson radiative processes and the J/Psi decays involving eta and eta’ are provided by using RChT and effective Lagrangians.
Eta-eta’ mixing parameters are directly extracted from various Exp data here.
• The NNLO calculation for eta-eta’ mixing is performed and confronted to lattice QCD results.
U(3) ChPT is demonstrated to be a sophisticated tool for chiral extrapolations for pi, K, eta and eta’.
• Continuing Exp and lattice QCD efforts would inspire more works: strong decays of eta and eta’, radiative decays with light pseudoscalars, eta and eta’ in photoproduction ……
• Puzzles about the sign problem of the O(p6) LECs.
eta and eta’ physics in light-flavor chiral perturbation theory 郭志辉 ( 河北师范大学 )