Strange quark condensate from QCD sum rules to five loops

Abstract

It is argued that it is valid to use QCD sum rules to determine the scalar and pseudoscalar two-point functions at zero momentum, which in turn determine the ratio of the strange to non-strange quark condensates $R_{su}=\frac{<\bar{s}s>}{<\bar{q}q>}$ with ($q=u,d$). This is done in the framework of a new set of QCD Finite Energy Sum Rules (FESR) that involve as integration kernel a second degree polynomial, tuned to reduce considerably the systematic uncertainties in the hadronic spectral functions. As a result, the parameters limiting the precision of this determination are ${\Lambda }_{QCD}$, and to a major extent the strange quark mass. From the positivity of $R_{su}$ there follows an upper bound on the latter: $\overline{m_s}(2GeV)\le 121(105)MeV$, for ${\Lambda }_{QCD}=330(420)MeV.$

Minor changes to Sections 2 and 6

References in corpus (25)

• The four-loop beta-function in Quantum Chromodynamics
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Quark Mass Anomalous Dimension to alpha_s**4
• The Physics of Hadronic Tau Decays
• Scalar Correlator at O(alpha_s^4), Higgs Decay into b-quarks and Bounds on the Light Quark Masses
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• V_us and m_s from hadronic tau decays
• First determination of the strange and light quark masses from full lattice QCD
• The Strange Quark Mass from QCD Sum Rules
• Light quark masses from scalar sum rules
• Constraints on Hadronic Spectral Functions From Continuous Families of Finite Energy Sum Rules
• High-precision determination of the light-quark masses from realistic lattice QCD
• Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
• Strange quark mass from e+e- revisited and present status of light quark masses
• On the QCD Sum Rule Determination of the Strange Quark Mass
• Mass singularities in light quark correlators: the strange quark case
• Order-${\alpha }_s^3$ determination of the strange quark mass
• Finite energy chiral sum rules in QCD
• Chiral sum rules and duality in QCD
• Strange Quark Mass from Pseudoscalar Sum Rule with O(alpha_s^4) Accuracy
• Non-perturbatively renormalised light quark masses from a lattice simulation with N_f=2
• The strange-quark mass from QCD sum rules in the pseudoscalar channel
• Ratio of strange to non-strange quark condensates in QCD
• Kaon-Baryon Couplings and the Goldberger-Treiman Relation in SU(3) x SU(3)

Cited by in corpus (15)

• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• Mass-splittings of doubly heavy baryons in QCD
• Strange quark mass from Finite Energy QCD sum rules to five loops
• $B$ Meson Decay Constants $f_{B_c}$, $f_{B_s}$ and $f_B$ from QCD Sum Rules
• Standard model contribution to the electric dipole moment of the deuteron, ${}^3$H, and ${}^3$He nuclei
• Chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner relation
• Up and down quark masses from Finite Energy QCD sum rules to five loops
• $1^{++}$ Nonet Singlet-Octet Mixing Angle, Strange Quark Mass, and Strange Quark Condensate
• Charm-quark mass from weighted finite energy QCD sum rules
• Corrections to the $\mathbf{SU}(3)\times \mathbf{SU}(3)$ Gell-Mann-Oakes-Renner relation and chiral couplings $L_8^r$ and $H_2^r$
• Light quark masses from QCD sum rules with minimal hadronic bias
• Correlations between the strange quark condensate, strange quark mass, and kaon PCAC relation
• Analytical determination of the QCD quark masses
• Hadronic Contribution to the muon $g-2$ factor
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD