Chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes-Renner relation
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Chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes-Renner relation

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Chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes-Renner relation

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dc.contributor.author Bordes Villagrasa, José M.
dc.contributor.author Domínguez, Cesáreo A.
dc.contributor.author Moodley, Preshin
dc.contributor.author Peñarrocha Gantes, José Antonio
dc.contributor.author Schilcher, K.
dc.date.accessioned 2015-03-12T13:51:32Z
dc.date.available 2015-03-12T13:51:32Z
dc.date.issued 2010
dc.identifier.uri http://hdl.handle.net/10550/42733
dc.description.abstract The next to leading order chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes- Renner (GMOR) relation are obtained using the pseudoscalar correlator to five-loop order in perturbative QCD, together with new finite energy sum rules (FESR) incorporating polynomial, Legendre type, integration kernels. The purpose of these kernels is to suppress hadronic contributions in the region where they are least known. This reduces considerably the systematic uncertainties arising from the lack of direct experimental information on the hadronic resonance spectral function. Three different methods are used to compute the FESR contour integral in the complex energy (squared) s-plane, i.e. Fixed Order Perturbation Theory, Contour Improved Perturbation Theory, and a fixed renormalization scale scheme. We obtain for the corrections to the GMOR relation, delta(pi), the value delta(pi) = (6.2 +/- 1.6)%. This result is substantially more accurate than previous determinations based on QCD sum rules; it is also more reliable as it is basically free of systematic uncertainties. It implies a light quark condensate < 0 vertical bar(u) over baru vertical bar 0 > similar or equal to < 0 vertical bar(d) over bard vertical bar 0 > < 0 vertical bar(q) over barq vertical bar 0 >vertical bar(2GeV) = (-267 +/- 5MeV)(3). As a byproduct, the chiral perturbation theory (unphysical) low energy constant H-2(r) is predicted to be H-2(r)(nu(X) = M-p) = -(5.1 +/- 1.8) x10(-3), or H-2(r) (nu(X) = M-eta) = -(5.7 +/- 2.0) x10(-3).
dc.language.iso eng
dc.relation.ispartof Journal of High Energy Physics, 2010, vol. 2010, num. 5, p. 064
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Bordes Villagrasa, José M. Domínguez, Cesáreo A. Moodley, Preshin Peñarrocha Gantes, José Antonio Schilcher, K. 2010 Chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes-Renner relation Journal of High Energy Physics 2010 5 064
dc.subject Física
dc.title Chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes-Renner relation
dc.type info:eu-repo/semantics/article
dc.date.updated 2015-03-12T13:51:32Z
dc.identifier.doi http://dx.doi.org/10.1007/JHEP05(2010)064
dc.identifier.idgrec 062574

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