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dc.contributor.authorDavies, CTHen
dc.contributor.authorHornbostel, Ken
dc.contributor.authorKomijani, Jen
dc.contributor.authorKoponen, Jen
dc.contributor.authorLepage, GPen
dc.contributor.authorLytle, ATen
dc.contributor.authorMcNeile, Cen
dc.date.accessioned2019-08-12T14:41:09Z
dc.date.issued2019-08-08en
dc.identifier.urihttp://hdl.handle.net/10026.1/14789
dc.description14 pages, 4 figuresen
dc.description.abstract

We derive the Operator Product Expansion whose vacuum expectation value gives the time-moments of the pseudoscalar heavy-light current-current correlator up to and including terms in $\alpha_s^2$ multiplying $\langle\overline{\psi}\psi\rangle/M^3$ and terms in $\alpha_s$ multiplying $\langle \alpha_s G^2 \rangle/M^4$, where $M$ is the heavy-quark mass. Using lattice QCD results for heavy-strange correlators obtained for a variety of heavy quark masses on gluon field configurations including $u$, $d$ and $s$ quarks in the sea at three values of the lattice spacing, we are able to show that the contribution of the strange-quark condensate to the time-moments is very substantial. We use our lattice QCD time-moments and the OPE to determine a value for the condensate, fitting the 4th, 6th, 8th and 10th time-moments simultaneously. Our result, $\langle \overline{s}s \rangle^{\overline{\text{MS}}}(2 \text{GeV}) = -(296(11) \,\mathrm{MeV})^3$, agrees well with HPQCD's earlier, more direct, lattice QCD determination~\cite{McNeile:2012xh}. As well as confirming that the $s$ quark condensate is close in value to the light quark condensate, this demonstrates clearly the consistency of the Operator Product Expansion for fully nonperturbative calculations of matrix elements of short-distance operators in lattice QCD.

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dc.language.isoenen
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjecthep-laten
dc.subjecthep-laten
dc.subjecthep-phen
dc.titleDetermination of the quark condensate from heavy-light current-current correlators in full lattice QCDen
dc.typeJournal Article
plymouth.author-urlhttp://arxiv.org/abs/1811.04305v1en
plymouth.journalPhys.Rev. D100 (2019) 034506en
dc.identifier.doi10.1103/PhysRevD.100.034506en
plymouth.organisational-group/Plymouth
plymouth.organisational-group/Plymouth/00 Groups by role
plymouth.organisational-group/Plymouth/00 Groups by role/Academics
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics
plymouth.organisational-group/Plymouth/REF 2021 Researchers by UoA
plymouth.organisational-group/Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences
dcterms.dateAccepted2019-07-02en
dc.rights.embargodate2019-08-24en
dc.rights.embargoperiodNot knownen
rioxxterms.versionVoRen
rioxxterms.versionofrecord10.1103/PhysRevD.100.034506en
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
rioxxterms.licenseref.startdate2019-08-08en
rioxxterms.typeJournal Article/Reviewen


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