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Hadronic corrections to QCD sum rules and light quark masses

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Zeitschrift für Physik C Particles and Fields

Abstract

A parametrization of theJ p=0− hadronic continuum, in the framework of Extended PCAC, is discussed with emphasis on finite-width effects and on the constraints imposed by the correct threshold behavior of the pion spectral function. As an application light quark masses are calculated using both Hilbert and Laplace transform QCD sum rules. The results for the runing quark masses are:\((\bar m_u + \bar m_d )|_{1 Gev} = 16 \pm 2 MeV,(\bar m_u + \bar m_s )|_{1 Gev} = 199 \pm 27 MeV\), and a ratio\(R \equiv 2(\bar m_u + \bar m_s )/(\bar m_u + \bar m_d )_{1 Gev} = 25 \pm 4\).

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References

  1. H. Pagels: Phys. Rep.16C, 219 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  2. J. Gasser, H. Leutwyler: Phys. Rep.87C, 77 (1982)

    Article  ADS  Google Scholar 

  3. M.A. Shifman, I.A. Vainshtein, V.I. Zakharov: Nucl. Phys.B147, 385, 448 (1979)

    Article  ADS  Google Scholar 

  4. C. Becchi, S. Narison, E. de Rafael, F.J. Yndurain: Z. Phys. C—Particles and Fields8, 335 (1981); S. Narison, E. de Rafael: Phys. Lett.103B, 57 (1981); S. Narison: Phys. Rep.84C, 161 (1982)

    Article  ADS  Google Scholar 

  5. R.A. Bertlmann: Acta Phys. Austr.53, 305 (1981)

    Google Scholar 

  6. D.J. Broadhurst, S.C. Generalis: Open University Report No. OUT-4102-8 (1982)

  7. W. Hubschmid, A. Mallik: Nucl. Phys.B193, 368 (1981); S. Mallik: Nucl. Phys.B206, 90 (1982)

    Article  ADS  Google Scholar 

  8. N.V. Krasnikov, A.A. Pivovarov: Phys. Lett.112B, 397 (1982); A.L. Kataev, N.V. Krasnikov, A.A. Pivovarov: Phys. Lett.123B, 93 (1983)

    ADS  Google Scholar 

  9. L.J. Reinders, H.R. Rubinstein, S. Yazaki: Phys. Lett.120B, 209 (1983); L.J. Reinders: CERN Report No. CERN-TH-3701 (1983)

    ADS  Google Scholar 

  10. Y. Chung, H.G. Dosch, M. Kremmer, D. Schall: Ph`ys. Lett.102B, 175 (1981); Nucl. Phys.B197, 55 (1982); Heidelberg Report No. HD-THEP-84-1 (1984)

    ADS  Google Scholar 

  11. M. Kremmer, N.A. Papadopoulos, K. Schilcher: Mainz Report No. MZ-TH-83-12 (1984)

  12. C.A. Dominguez, A. Zepeda: Phys. Rev.D18, 884 (1978); C.A. Dominguez: Phys. Lett.86B, 171 (1979); P. Langacker, H. Pagèls: Phýs. Rev.D19, 2070 (1979); J. Gasser: Ann. Phýs. (N.Y.)136, 62 (1981)

    Article  ADS  Google Scholar 

  13. C.A. Dominguez: Phys. Rev.D7, 1252 (1973)

    Article  ADS  Google Scholar 

  14. C.A. Dominguez: Phys. Rev.D15, 1350 (1977);D16, 2313 (1977); N.H. Funchs: Phys. Rev.D16, 1535 (1977); H. Sazdjian: Nucl. Phys.B129, 319 (1977); N.H. Fuchs, H. Sazdjian: Phys. Rev.D18, 889 (1978).

    Article  ADS  Google Scholar 

  15. C.A. Dominguez: Phys. Rev.D16, 2320 (1977)

    Article  ADS  Google Scholar 

  16. H. Pagels, A. Zepeda: Phys. Rev.D5, 3262 (1972)

    Article  ADS  Google Scholar 

  17. R. Aaron, R.S. Longacre: Phys. Rev.D24, 1207 (1981); M. Bonesini et al.: Phys. Lett.103B, 75 (1981); G. Belliniet al.: Phys. Rev. Lett.48, 1697 (1982); M.A. Anavieva et al.L Lett. Nuovo Cimento38, 433 (1983)

    Article  ADS  Google Scholar 

  18. C.A. Dominguez: Phys. Rev. C—Particles and Fields24, 2611 (1981), and references therein

    MathSciNet  Google Scholar 

  19. A.I. Vainshtein et al.: Sov. J. Nucl. Phys.27, 274 (1978)

    Google Scholar 

  20. M. Greco: Nucl. Phys.B63, 398 (1973); L.F. Urrutia, Phys. Rev.D9, 3213 (1974)

    Article  ADS  Google Scholar 

  21. J.J. Sakurai: Phys. Lett.46B, 207 (1973)

    ADS  Google Scholar 

  22. B. Guberina, R. Meckbach, R.D. Peccei, R. Ruckl: Nucl. Phys.B184, 476 (1981); L.J. Reinders, H.R. Rubinstein, S. Yazaki: Nucl. Phys.B186, 109 (1981); N.N. Nikolaev, A.V. Radyushkin: Phys. Lett.110B, 476 (1982)

    Article  ADS  Google Scholar 

  23. G. Launer, S. Narison, R. Tarrach: CERN Report No. CERN-TH-3712 (1983)

  24. S. Narison: Phys. Lett.104B, 485 (1981)

    ADS  Google Scholar 

  25. S.I. Eidelman, L.M. Kurdadze, A.I. Vainshtein: Phys. Lett.82B, 278 (1979)

    ADS  Google Scholar 

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Author notes

  1. C. A. Domínguez

    Present address: Departamento de Física, Universidad Técnica Federico Santa María, Valparaíso, Chile

Authors and Affiliations

  1. Institut für Physik der Johannes-Gutenberg Universität, D-6500, Mainz, Germany

    C. A. Domínguez

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  1. C. A. Domínguez
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Work supported in part by Deutscher Akademischer Austauschdienst and in part by Fondo Nacional de Investigación Científica y Technológica de Chile

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Domínguez, C.A. Hadronic corrections to QCD sum rules and light quark masses. Z. Phys. C - Particles and Fields 26, 269–273 (1984). https://doi.org/10.1007/BF01421765

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  • DOI: https://doi.org/10.1007/BF01421765

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