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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.citation	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.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.subject	Física
dc.title	Chiral corrections to the SU(2) x SU(2) Gell-Mann-Oakes-Renner relation
dc.type	journal article	es_ES
dc.date.updated	2015-03-12T13:51:32Z
dc.identifier.doi	10.1007/JHEP05(2010)064
dc.identifier.idgrec	062574
dc.rights.accessRights	open access	es_ES