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Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass

Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass
Absorbing discretisation effects with a massive renormalization scheme: the charm-quark mass
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(3GeV)=1.008(13)GeV and mc(mc)=1.292(12)GeV.
hep-lat, hep-ph
arXiv
Debbio, Luigi Del
ca9c62cd-33d4-460d-bc76-6afdd6cc1379
Erben, Felix
13c8d276-fdde-43ce-8ab0-c71cbe5e2875
Flynn, Jonathan M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Mukherjee, Rajnandini
897dcff8-7939-4c68-9986-89aa4c0167b5
Tsang, J. Tobias
911f9070-f55f-4412-8bb9-57b3a926e803
Debbio, Luigi Del
ca9c62cd-33d4-460d-bc76-6afdd6cc1379
Erben, Felix
13c8d276-fdde-43ce-8ab0-c71cbe5e2875
Flynn, Jonathan M.
d8e90963-ba56-415c-bbd4-496b7d91d343
Mukherjee, Rajnandini
897dcff8-7939-4c68-9986-89aa4c0167b5
Tsang, J. Tobias
911f9070-f55f-4412-8bb9-57b3a926e803

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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(3GeV)=1.008(13)GeV and mc(mc)=1.292(12)GeV.

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2407.18700v1 - Author's Original
Available under License Creative Commons Attribution.
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Accepted/In Press date: 26 July 2024
Additional Information: 14 pages, 10 figures, 10 tables
Keywords: hep-lat, hep-ph
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Identifiers

Local EPrints ID: 496312
URI: http://eprints.soton.ac.uk/id/eprint/496312
DOI: doi:10.48550/arXiv.2407.18700
PURE UUID: 9b830608-5d70-4394-a000-18ad3597e442
ORCID for Jonathan M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677
ORCID for Rajnandini Mukherjee: ORCID iD orcid.org/0000-0003-1015-8533

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Date deposited: 11 Dec 2024 17:46
Last modified: 12 Dec 2024 03:00

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Contributors

Author: Luigi Del Debbio
Author: Felix Erben
Author: Jonathan M. Flynn ORCID iD
Author: Rajnandini Mukherjee ORCID iD
Author: J. Tobias Tsang

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