Light quark masses from QCD sum rules with minimal hadronic bias

dc.creatorDominguez, C. A.
dc.creatorNasrallah, N. F.
dc.creatorSchilcher, R. Röntsch K.
dc.date2008-08-28
dc.date.accessioned2026-07-07T13:13:19Z
dc.date.available2026-07-07T13:13:19Z
dc.descriptionThe light quark masses are determined using a new QCD Finite Energy Sum Rule (FESR) in the pseudoscalar channel. This FESR involves an integration kernel designed to reduce considerably the contribution of the (unmeasured) hadronic resonance spectral functions. The QCD sector of the FESR includes perturbative QCD (PQCD) to five loop order, and the leading non-perturbative terms. In the hadronic sector the dominant contribution is from the pseudoscalar meson pole. Using Contour Improved Perturbation Theory (CIPT) the results for the quark masses at a scale of 2 GeV are $m_u(Q= 2 {GeV}) = 2.9 \pm 0.2 {MeV}$, $m_d(Q= 2 {GeV}) = 5.3 \pm 0.4 {MeV}$, and $m_s(Q= 2 {GeV}) = 102 \pm 8 {MeV}$, for $Λ= 381 \pm 16 {MeV}$, corresponding to $α_s(M_τ^2) = 0.344 \pm0.009$. In this framework the systematic uncertainty in the quark masses from the unmeasured hadronic resonance spectral function amounts to less than 2 - 3 %. The remaining uncertainties above arise from those in $Λ$, the unknown six-loop PQCD contribution, and the gluon condensate, which are all potentially subject to improvement.
dc.descriptionIn Memoriam: Giuseppe (Beppe) Nardulli, Jan Stern, and Francisco (Paco) Yndurain. Invited talk given by C.A. Dominguez at QCD-08, 14th International QCD Conference, Montpellier, France, July 2008
dc.identifierhttps://arxiv.org/abs/0808.3909
dc.identifierhttp://arxiv.org/abs/0808.3909
dc.identifierNucl.Phys.Proc.Suppl.186:133-136,2009
dc.identifierdoi:10.1016/j.nuclphysbps.2008.12.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229848
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLight quark masses from QCD sum rules with minimal hadronic bias
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