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Quark Masses

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Quantum Chromodynamics Sum Rules

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Abstract

Light quark masses (up-, down-, strange-) were first considered in the framework of chiral symmetries and named current algebra quark masses Treiman et al. (Current Algebra and Anomalies. World Scientific, Singapore, 1985); Bernstein (Elementary Particles and their Currents. W. H. Freeman & Co., San Francisco, 1968 [1]), Pagels (Phys Rep 219, 1975 [2]), Gell-Mann (Phys Rev 2195, 1968 [3]), Glashow and Weinberg (Phys Rev Lett 224, 1968 [4]), Gasser and Leutwyler (Phys Rep C 77, 1982 [5]). These quantities, being pre-QCD, lacked the current detailed understanding of e.g. quark-mass running and renormalization.

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References

  1. S. B. Treiman, R. Jackiw, B. Zumino, E. Witten, Current Algebra and Anomalies (World Scientific, Singapore, 1985). See also: J. Bernstein, Elementary Particles and their Currents (W. H. Freeman & Co., San Francisco, 1968)

    Google Scholar 

  2. H. Pagels, Phys. Rep. 16, 219 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  3. M. Gell-Mann, R.J. Oakes, B. Renner, Phys. Rev. 175, 2195 (1968)

    Article  ADS  Google Scholar 

  4. S. Glashow, S. Weinberg, Phys. Rev. Lett. 20, 224 (1968)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. C.A. Dominguez, A. Zepeda, Phys. Rev. D 18, 884 (1978)

    Article  ADS  Google Scholar 

  7. C.A. Dominguez, Phys. Lett. B 86, 171 (1979)

    Article  ADS  Google Scholar 

  8. P. Minkowski, A. Zepeda, Nucl. Phys. B 164, 25 (1980)

    Article  ADS  Google Scholar 

  9. S. Aoki et al., Eur. Phys. J. C 77, 112 (2017)

    Article  ADS  Google Scholar 

  10. G. Colangelo, S. Lanz, E. Passemar, PoS CD 09, 047 (2009)

    Google Scholar 

  11. H. Leutwyler, PoS CD 09, 005 (2009)

    Google Scholar 

  12. S. Weinberg, Trans. New York Acad. Sci. 38, 185 (1977)

    Article  Google Scholar 

  13. H. Leutwyler, Nucl. Phys. B Proc. Suppl. 64, 223 (1998)

    Article  ADS  Google Scholar 

  14. C. A. Dominguez, Analytical determination of QCD quark masses, in Fifty Years of Quarks, ed. by H. Fritzsch, M. Gell-Mann (World Scientific Publishing Co., Singapore, 2015), pp. 287–313

    Google Scholar 

  15. C.A. Dominguez, N.F. Nasrallah, R. Röntsch, K. Schilcher, J. High Energy Phys. 05, 020 (2008)

    Article  ADS  Google Scholar 

  16. S. Bodenstein, C.A. Dominguez, K. Schilcher, J. High Energy Phys. 07, 138 (2013)

    Article  ADS  Google Scholar 

  17. C. A. Dominguez, Phys. Rev. D 7, 1252 (1973); ibid. D 16, 2320 (1977); Riv. Nuovo Cim. 8N6, 1 (1985)

    Google Scholar 

  18. P. Frampton, Phys. Rev. D 1, 3141 (1970)

    Article  ADS  Google Scholar 

  19. K.G. Patrignani et al., Particle data group. Chin. Phys. C 40, 100001 (2016)

    Article  ADS  Google Scholar 

  20. C. A. Dominguez, Z. Phys. C 26, 269 (1984)

    Google Scholar 

  21. C.A. Dominguez, N.F. Nasrallah, R.H. Rontsch, K. Schilcher, Phys. Rev. D 79, 014009 (2009)

    Article  ADS  Google Scholar 

  22. C. A. Dominguez, A. Mes, K. Schilcher, to be published

    Google Scholar 

  23. S. Bodenstein, J. Bordes, C.A. Dominguez, J. Peñarrocha, K. Schilcher, Phys. Rev. D 83, 074014 (2011)

    Article  ADS  Google Scholar 

  24. S. Bodenstein, J. Bordes, C.A. Dominguez, J. Peñarrocha, K. Schilcher, Phys. Rev. D 85, 034003 (2012)

    Article  ADS  Google Scholar 

  25. S. Bodenstein, J. Bordes, C.A. Dominguez, J. Peñarrocha, K. Schilcher, Phys. Rev. D 82, 114013 (2010)

    Article  ADS  Google Scholar 

  26. J.H. Kühn, M. Steinhauser, C. Sturm, Nucl. Phys. B 778, 192 (2007)

    Article  ADS  Google Scholar 

  27. K.G. Chetyrkin et al., Phys. Rev. D 80, 074010 (2009)

    Article  ADS  Google Scholar 

  28. B. Dehnadi, A.H. Hoang, V. Mateu, S.M. Zerbarjard, American Institute of Physics Conference Proceedings, vol. 1441 (2012), p. 628

    Google Scholar 

  29. A. Signer, Phys. Lett. B 672, 333 (2009)

    Article  ADS  Google Scholar 

  30. C. McNeile et al., PQCD collaboration. Phys. Rev. D 82, 034512 (2010)

    Article  ADS  Google Scholar 

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Correspondence to Cesareo A. Dominguez .

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Dominguez, C.A. (2018). Quark Masses. In: Quantum Chromodynamics Sum Rules. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-97722-5_9

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