Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass
Abstract
We present the first numerical implementation of the massive SMOM (mSMOM) renormalization scheme and use it to calculate the charm quark mass. Based on ensembles with three flavours of dynamical domain wall fermions with lattice spacings in the range 0.11 -- 0.08 fm, we demonstrate that the mass scale which defines the mSMOM scheme can be chosen such that the extrapolation has significantly smaller discretisation effects than the SMOM scheme. Converting our results to the MS scheme we obtain mc(3\,GeV) = 1.008(13)\,GeV and mc(mc) = 1.292(12)\,GeV.
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