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η and η′ mesons from N f = 2 + 1 + 1 twisted mass lattice QCD

2012/06/30 by K. Ottnad, Konstantin Ottnad, Chris Michael +5
Physics and Astronomy · #Charm quark #Diffraction #Flavour #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Meson #Nuclear physics #Octet #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Strange quark #hep-lat #hep-ph

paper · pdf · doi:10.1007/jhep11(2012)048

28 pages, 9 figures, version to appear in JHEP, extended discussion of autocorrelation times and comparison to results available in the literature, added a comment for FS-effects and clarified the description of our blocking procedure

arxiv created 2012/10/30 · openalex publication_date 2012/11/01 · openalex created_date 2019/06/27 · arxiv updated 2019/08/13 · openalex updated_date 2026/08/05

Abstract

We determine mass and mixing angles of eta and eta' states using Nf=2+1+1 Wilson twisted mass lattice QCD. We describe how those flavour singlet states need to be treated in this lattice formulation. Results are presented for three values of the lattice spacing, a=0.061 fm, a=0.078 fm and a=0.086 fm, with light quark masses corresponding to values of the charged pion mass in a range of 230 to 500 MeV and fixed bare strange and charm quark mass values. We obtain 557(15)(45) MeV for the eta mass (first error statistical, second systematic) and 44(5) degrees for the mixing angle in the quark flavour basis, corresponding to -10(5) degrees in the octet-singlet basis.

Citations