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Article
Report number arXiv:2407.18700 ; CERN-TH-2024-124
Title Absorbing discretization effects with a massive renormalization scheme: The charm-quark mass
Author(s) Del Debbio, Luigi (Edinburgh U.) ; Erben, Felix (CERN) ; Flynn, Jonathan M. (Southampton U.) ; Mukherjee, Rajnandini (Southampton U.) ; Tsang, J. Tobias (CERN)
Collaboration RBC Collaboration ; UKQCD Collaboration
Publication 2024-09-01
Imprint 2024-07-26
Number of pages 15
Note 14 pages, 10 figures, 10 tables
In: Phys. Rev. D 110 (2024) 054512
DOI 10.1103/PhysRevD.110.054512 (publication)
Subject category hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice
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 $\overline{\mathrm{MS}}$ scheme we obtain $\overline{m}_c(3\,\mathrm{GeV}) = 1.008(13)\,\mathrm{GeV}$ and $\overline{m}_c(\overline{m}_c) = 1.292(12)\,\mathrm{GeV}$.
Copyright/License preprint: (License: CC BY 4.0)
publication: © 2024-2025 authors (License: CC BY 4.0), sponsored by SCOAP³



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