Precision computation of the strange quark's mass in quenched QCD

dc.creatorGarden, Joyce
dc.creatorHeitger, Jochen
dc.creatorSommer, Rainer
dc.creatorWittig, Hartmut
dc.date1999-06-17
dc.date.accessioned2026-07-07T10:32:34Z
dc.date.available2026-07-07T10:32:34Z
dc.descriptionWe determine the renormalization group invariant quark mass corresponding to the sum of the strange and the average light quark mass in the quenched approximation of QCD, using as essential input the mass of the K-mesons. In the continuum limit we find $(M_s + M_{light})/F_K=0.874(29)$, which includes systematic errors. Translating this non-perturbative result into the running quark masses in the $\msbar$-scheme at $μ=2 GeV$ and using the quark mass ratios from chiral perturbation theory, we obtain $\mbar_s(2 GeV)=97(4) MeV$. With the help of recent results by the CP-PACS Collaboration, we estimate that a 10% higher value would be obtained if one replaced $F_K$ by the nucleon mass to set the scale. This is a typical ambiguity in the quenched approximation.
dc.description23 pages, latex
dc.identifierhttps://arxiv.org/abs/hep-lat/9906013
dc.identifierhttp://arxiv.org/abs/hep-lat/9906013
dc.identifierNucl.Phys.B571:237-256,2000
dc.identifierdoi:10.1016/S0550-3213(99)00714-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178800
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePrecision computation of the strange quark's mass in quenched QCD
dc.typetext

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