Properties of the $\eta$ and $\eta^\prime$ mesons Part I: Masses and decay constants

26 Jul 2021, 13:00
15m
Oral presentation Vacuum Structure, Confinement, and Chiral Symmetry Vacuum Structure, Confinement, and Chiral Symmetry

Speaker

Jakob Simeth (University of Regensburg)

Description

We present results for $\eta$ and $\eta^\prime$ masses at the physical point.
The two independent decay constants, e.g., for the flavour singlet/non-singlet
basis, are also computed for both particles. The chiral and continuum limit extrapolation is performed on 21 CLS $n_f = 2+1$ Wilson Clover improved ensembles at four different lattice spacings and along two quark mass trajectories, including one ensemble very close to the physical quark mass point. For the first time the decay constants are determined directly from the
axialvector matrix elements without model assumptions. This allows us to
study the QCD scale dependence of the decay constants and to determine all low
energy constants contributing at NLO in Large-$N_c$ ChPT at a well defined
renormalization scale.

Primary authors

Gunnar Bali (Universität Regensburg) Sara Collins (University of Regensburg) Jakob Simeth (University of Regensburg)

Presentation materials