Quark masses in QCD: a progress report

Abstract

Recent progress on QCD sum rule determinations of the light and heavy quark masses is reported. In the light quark sector a major breakthrough has been made recently in connection with the historical systematic uncertainties due to a lack of experimental information on the pseudoscalar resonance spectral functions. It is now possible to suppress this contribution to the 1% level by using suitable integration kernels in Finite Energy QCD sum rules. This allows to determine the up-, down-, and strange-quark masses with an unprecedented precision of some 8-10%. Further reduction of this uncertainty will be possible with improved accuracy in the strong coupling, now the main source of error. In the heavy quark sector, the availability of experimental data in the vector channel, and the use of suitable multipurpose integration kernels allows to increase the accuracy of the charm- and bottom-quarks masses to the 1% level.

Invited review paper to be published in Modern Physics Letters A

References in corpus (14)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Review of lattice results concerning low energy particle physics
• The Determination of alpha_s from Tau Decays Revisited
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Charm and Bottom Quark Masses from Perturbative QCD
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Low energy moments of heavy quark current correlators at four loops
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Modified Contour-Improved Perturbation Theory
• Up and down quark masses from Finite Energy QCD sum rules to five loops
• QCD Description of Hadronic Tau Decays
• Charm-quark mass from weighted finite energy QCD sum rules
• Confronting QCD with the experimental hadronic spectral functions from tau-decay

Cited by in corpus (8)

• An Update of the HLS Estimate of the Muon g-2
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• The masses and residues of doubly heavy spin--3/2 baryons
• $B$ Meson Decay Constants $f_{B_c}$, $f_{B_s}$ and $f_B$ from QCD Sum Rules
• Rho-meson resonance broadening in QCD at finite temperature
• Corrections to the $\mathbf{SU}(3)\times \mathbf{SU}(3)$ Gell-Mann-Oakes-Renner relation and chiral couplings $L_8^r$ and $H_2^r$
• Hadronic Contribution to the muon $g-2$ factor
• Determination of the $m_u$ and $m_d$ quark masses from $\eta \to 3\pi$ decay