Towards the determination of the charm quark mass on $N_{\mathrm{f}}=2+1$ CLS ensembles

Abstract

We present the current status of our lattice QCD determination of the charm quark mass using $N_{\mathrm{f}}=2+1$ dynamical, non-perturbatively $\mathrm{O}(a)$ improved Wilson fermions. A subset of CLS ensembles with five different lattice spacings along the $\mathrm{Tr}[M_{\mathrm{q}}]=\text{const.}$ trajectory is used. For the computation of the correlation functions involving valence charm quark propagators, we employ distance preconditioning to gain the necessary precision. To stabilize the extrapolations to the physical point, we consider different definitions of the bare charm quark mass and corresponding renormalization procedures.

arXiv comment7 pages including 5 figures, latex2e; Proceedings of the 37th International Symposium on Lattice Field Theory (Lattice 2019), 16-22 June 2019, Wuhan, China

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Cited by in corpus (1)

• Non-perturbative determination of improvement coefficients b_m and b_A-b_P and normalisation factor Z_m*Z_P/Z_A with N_f=3 Wilson fermions