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We present a determination of the charm quark mass in lattice QCD with three active quark flavours. The calculation is based on PCAC masses extracted from $N_mathrm{f}=2+1$ flavour gauge field ensembles at five different lattice spacings in a range from 0.087 fm down to 0.039 fm. The lattice action consists of the $mathrm{O}(a)$ improved Wilson-clover action and a tree-level improved Symanzik gauge action. Quark masses are non-perturbatively $mathrm{O}(a)$ improved employing the Symanzik-counterterms available for this discretisation of QCD. To relate the bare mass at a specified low-energy scale with the renormalisation group invariant mass in the continuum limit, we use the non-pertubatively known factors that account for the running of the quark masses as well as for their renormalisation at hadronic scales. We obtain the renormalisation group invariant charm quark mass at the physical point of the three-flavour theory to be $M_mathrm{c} = 1486(21),mathrm{MeV}$. Combining this result with five-loop perturbation theory and the corresponding decoupling relations in the $overline{mathrm{MS}}$ scheme, one arrives at a result for the renormalisation group invariant charm quark mass in the four-flavour theory of $M_mathrm{c}(N_mathrm{f}=4) = 1548(23),mathrm{MeV}$. In the $overline{mathrm{MS}}$ scheme, and at finite energy scales conventional in phenomenology, we quote $m^{overline{mathrm{MS}}}_{mathrm{c}}(m^{overline{mathrm{MS}}}_{mathrm{c}}; N_mathrm{f}=4)=1296(19),mathrm{MeV}$ and $m^{overline{mathrm{MS}}}_{mathrm{c}}(3,mathrm{GeV}; N_mathrm{f}=4)=1007(16),mathrm{MeV}$ for the renormalised charm quark mass
We investigate the charm quark system on 2+1 flavor PACS-CS configurations. Calculations are performed at the lattice spacing $a^{-1}=2.194(10)$ GeV and the spatial extent $L=2.9$ fm with O(a)-improved Wilson fermions for the light quarks and the rel
We present a lattice QCD calculation of the up, down, strange and charm quark masses performed using the gauge configurations produced by the European Twisted Mass Collaboration with Nf = 2 + 1 + 1 dynamical quarks, which include in the sea, besides
We investigate the masses and decay constants of eta and eta mesons using the Wilson twisted mass formulation with N_f=2+1+1 dynamical quark flavours based on gauge configurations of ETMC. We show how to efficiently subtract excited state contributio
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
We investigate the charm quark system using the relativistic heavy quark action on 2+1 flavor PACS-CS configurations previously generated on $32^3 times 64$ lattice. The dynamical up-down and strange quark masses are set to the physical values by usi