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Determination of m_c from N_f = 2+1 QCD with Wilson fermions

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arxiv 2206.04178 v1 pith:EJEKTUAM submitted 2022-06-08 hep-lat

Determination of $m_c$ from $N_f = 2+1$ QCD with Wilson fermions

classification hep-lat
keywords quarkdifferentensemblesfermionslatticemassmasseswilson
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We present preliminary results for the charm quark mass in the $N_f=4$ RGI scheme. These were obtained using $N_f=2+1$ CLS ensembles with $\mathcal{O}(a)$ non-perturbatively improved Wilson fermions. We employed five different lattice spacings, ranging down to $a\lesssim 0.04$ fm and realized approximately physical pion and kaon masses, with ensembles spread out along three different trajectories in the quark mass plane, enabling a thorough study of the dependence on the lattice spacing and the light and strange sea quark masses. We sketch our analysis strategy and find that the dominant errors at present are due to the renormalization and scale setting uncertainties.

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