Główna > Absorbing discretization effects with a massive renormalization scheme: The charm-quark mass |
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 |