## Abstract

We determine mass and mixing angles of eta and eta' states using N-f = 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 M-eta = 557(15)(45) MeV (first error statistical, second systematic) and phi = 44(5)degrees for a single mixing angle in the quark flavour basis, theta = -10(5)degrees in the octet-singlet basis.

Original language | English |
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Article number | 048 |

Number of pages | 27 |

Journal | Journal of High Energy Physics |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov-2012 |

## Keywords

- Lattice QCD
- Lattice Gauge Field Theories
- Lattice Quantum Field Theory
- QCD
- NUMERICAL-SIMULATION
- QUARKS
- SCALE