Book contents
- Frontmatter
- Contents
- About Stephan Narison
- Outline of the book
- Preface
- Acknowledgements
- Part I General introduction
- Part II QCD gauge theory
- Part III MS-bar scheme for QCD and QED
- Part IV Deep inelastic scatterings at hadron colliders
- Part V Hard processes in e+e– collisions
- Part VI Summary of QCD tests and αs measurements
- Part VII Power corrections in QCD
- Part VIII QCD two-point functions
- Part IX QCD non-perturbative methods
- Part X QCD spectral sum rules
- 47 Introduction
- 48 Theoretical foundations
- 49 Survey of QCD spectral sum rules
- 50 Weinberg and DMO sum rules
- 51 The QCD coupling αs
- 52 The QCD condensates
- 53 Light and heavy quark masses, etc
- 54 Hadron spectroscopy
- 55 D, B and Bc exclusive weak decays
- 56 B0s-B̄0s Mixing, Kaon Cp Violation
- 57 Thermal behaviour of QCD
- 58 More on spectral sum rules
- Part XI Appendices
- Bibliography
- Index
53 - Light and heavy quark masses, etc
from Part X - QCD spectral sum rules
- Frontmatter
- Contents
- About Stephan Narison
- Outline of the book
- Preface
- Acknowledgements
- Part I General introduction
- Part II QCD gauge theory
- Part III MS-bar scheme for QCD and QED
- Part IV Deep inelastic scatterings at hadron colliders
- Part V Hard processes in e+e– collisions
- Part VI Summary of QCD tests and αs measurements
- Part VII Power corrections in QCD
- Part VIII QCD two-point functions
- Part IX QCD non-perturbative methods
- Part X QCD spectral sum rules
- 47 Introduction
- 48 Theoretical foundations
- 49 Survey of QCD spectral sum rules
- 50 Weinberg and DMO sum rules
- 51 The QCD coupling αs
- 52 The QCD condensates
- 53 Light and heavy quark masses, etc
- 54 Hadron spectroscopy
- 55 D, B and Bc exclusive weak decays
- 56 B0s-B̄0s Mixing, Kaon Cp Violation
- 57 Thermal behaviour of QCD
- 58 More on spectral sum rules
- Part XI Appendices
- Bibliography
- Index
Summary
We review the present status for the determinations of the light and heavy quark masses, the light quark chiral condensate and the decay constants of light and heavy-light (pseudo)scalar mesons from QCD spectral sum rules (QSSR). Bounds on the light quark running masses at 2 GeV are found to be (see Tables 53.1 and 53.2): 6 MeV < (d + u)(2) < 11 MeV and 71 MeV < s(2) < 148 MeV. The agreement of the ratio ms/(mu + md) = 24.2 in Eq. (53.45) from pseudoscalar sum rules with the one (24.4 ± 1.5) from ChPT indicates the consistency of the pseudoscalar sum rule approach. QSSR predictions from different channels for the light quark running masses lead to (see Section 53.9.3): s(2) = (117.4 ± 23.4) MeV, (;d + u)(2) = (10.1 ± 1.8) MeV, (d – u)(2) = (2.8 ± 0.6) MeV with the corresponding values of the RG invariant masses. The different QSSR predictions for the heavy quark masses lead to the running masss values: c(c) = (1.23 ± 0.05) GeV and b(b) = (4.24 ± 0.06) GeV (see Tables 53.5 and 53.6), from which one can extract the scale independent ratio mb/ms = 48.8 ± 9.8.
- Type
- Chapter
- Information
- QCD as a Theory of HadronsFrom Partons to Confinement, pp. 572 - 614Publisher: Cambridge University PressPrint publication year: 2004