Light-Quark Masses

  • H. Leutwyler
Part of the NATO ASI Series book series (NSSB, volume 363)


The first crude estimates for the magnitude of the three lightest quark masses appeared more than 20 years ago:1


Strange Quark Goldstone Boson Chiral Perturbation Theory Mass Formula Final State Interaction 
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  1. 1.
    The literature contains even earlier estimates, which however were based on the assumption that the strong interaction conserves isospin and thus took m u = m d for granted. The prehistory is reviewed in J. Gasser and H. Leutwyler, Phys. Rep. 87 (1982) 77.Google Scholar
  2. 2.
    J. Gasser and H. Leutwyler, Nucl. Phys. B94 (1975) 269.ADSCrossRefGoogle Scholar
  3. 3.
    S. Weinberg, in A Festschrift for I.I. Rabi,ed. L. Motz, Trans. New York Acad. Sci. Ser. II 38 (1977) 185.Google Scholar
  4. 4.
    J. Gasser, H. Leutwyler and M. E. Sainio, Phys. Lett. B253 (1991) 252.Google Scholar
  5. 5.
    S. Weinberg, Physica A96 (1979) 327.CrossRefGoogle Scholar
  6. 6.
    J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 465.ADSCrossRefGoogle Scholar
  7. 7.
    D. B. Kaplan and A. V. Manohar, Phys. Rev. Lett. 56 (1986) 2004.ADSCrossRefGoogle Scholar
  8. 8.
    R. Dashen, Phys. Rev. 183 (1969) 1245.ADSCrossRefGoogle Scholar
  9. 9.
    P. Langacker and H. Pagels, Phys. Rev. D8 (1973) 4620;ADSGoogle Scholar
  10. K. Maltman and D. Kotchan, Mod. Phys. Lett. A5 (1990) 2457;ADSCrossRefGoogle Scholar
  11. G. Stephenson, K. Maltman and T. Goldman, Phys. Rev. D43 (1991) 860.ADSCrossRefGoogle Scholar
  12. 10.
    J. Donoghue, B. Holstein and D. Wyler, Phys. Rev. D47 (1993) 2089.ADSCrossRefGoogle Scholar
  13. 11.
    R. Urech, Nucl. Phys. B433 (1995) 234;ADSCrossRefGoogle Scholar
  14. R. Baur and R. Urech, Phys. Rev. D53 (1996) 6552.ADSGoogle Scholar
  15. 12.
    J. Bijnens, Phys. Lett. B306 (1993) 343.Google Scholar
  16. 13.
    W. A. Bardeen, A. Burgs and J.-M. Gérard, Phys. Left. B211 (1988) 343;ADSGoogle Scholar
  17. W. A. Bardeen, J. Bijnens and J.-M. Gérard, Phys. Rev. Lett. 62 (1989) 1343.ADSCrossRefGoogle Scholar
  18. 14.
    A. Duncan, E. Eichten and H. Thacker, Phys. Rev. Lett. 76 (1996) 3894.ADSCrossRefGoogle Scholar
  19. 15.
    J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 539.ADSCrossRefGoogle Scholar
  20. 16.
    D. G. Sutherland, Phys. Lett. 23 (1966) 384;ADSCrossRefGoogle Scholar
  21. J. S. Bell and D. G Sutherland, Nucl. Phys. B4 (1968) 315;ADSCrossRefGoogle Scholar
  22. For a recent analysis of the electromagnetic contributions, see R. Baur, J. Kambor and D. Wyler, Nucl. Phys. B460 (1996) 127.Google Scholar
  23. 17.
    J. Kambor, C. Wiesendanger and D. Wyler, Nucl. Phys. B465 (1996) 215.ADSCrossRefGoogle Scholar
  24. 18.
    A. V. Anisovich and H. Leutwyler, Phys. Lett. B375 (1996) 335;Google Scholar
  25. H. Leutwyler, Phys. Left. B374 (1996) 181.ADSGoogle Scholar
  26. 19.
    Review of Particle Properties, Phys. Rev. D45 (1992).Google Scholar
  27. 20.
    For a recent review, see T. Banks, Y. Nir and N. Seiberg, in Yukawa couplings and the origin of mass, Proc. 2nd IFT Workshop, University of Florida, Gainesville, Feb. 1994,ed. P. Ramond, to be published by International Press.Google Scholar
  28. 21.
    R. Urech, Phys. Left. B355 (1995) 308.ADSGoogle Scholar
  29. 22.
    B. L. Ioffe and M. A. Shifrnan, Phys. Lett. B95 (1980) 99 and the references therein.Google Scholar
  30. 23.
    J. Donoghue and D. Wyler, Phys. Rev. D45 (1992) 892.ADSGoogle Scholar
  31. 24.
    M. Luty and R. Sundrum, Phys. Lett. B312 (1993) 205.Google Scholar
  32. 25.
    J. Donoghue, B. Holstein and D. Wyler, Phys. Rev. Lett. 69 (1992) 3444;ADSCrossRefGoogle Scholar
  33. J. Donoghue, Lectures given at the Theoretical Advanced Study Institute, Boulder, Colorado (1993);Google Scholar
  34. D. Wyler, Proc. XVI Kazimierz Meeting on Elementary Particle Physics, eds. Z. Ajduk et al. (World Scientific, Singapore, 1994).Google Scholar
  35. 26.
    G. Ecker et al., Nucl. Phys. B321 (1989) 311;ADSCrossRefGoogle Scholar
  36. G. Ecker et al., Phys. Lett. B223 (1989) 425.Google Scholar
  37. 27.
    H. Leutwyler, Nucl. Phys. B337 (1990) 108.ADSCrossRefGoogle Scholar
  38. 28.
    J. F. Donoghue, B. R. Holstein and Y. C. R. Lin, Phys. Rev. Lett. 55 (1985) 2766;ADSCrossRefGoogle Scholar
  39. F. Gilman and R. Kaufmann, Phys. Rev. D36 (1987) 2761;ADSGoogle Scholar
  40. Riazuddin and Fayazuddin, Phys. Rev. D37 (1988) 149;Google Scholar
  41. J. Bijnens, A. Bramon and F. Cornet, Phys. Rev. Lett. 61 (1988) 1453;ADSCrossRefGoogle Scholar
  42. ASP Collaboration, N. A. Roe et al., Phys. Rev. D41 (1990) 17.Google Scholar
  43. 29.
    J.-M. Gerard, Mod. Phys. Lett. A5 (1990) 391.ADSCrossRefGoogle Scholar
  44. 30.
    G. ‘t Hooft, Nucl. Phys. B72 (1974) and B75 (1974) 461;Google Scholar
  45. G. Veneziano, Nucl. Phys. B117 (1974) 519 and B159 (1979) 213;Google Scholar
  46. R.. J. Crewther, Phys. Lett. 70B (1977) 349 and in Field Theoretical Methods in Particle Physics, ed. W. Rühl (Plenum, New York, 1980);Google Scholar
  47. E. Witten, Nucl. Phys. B156 (1979) 213 and B117 (1980) 57;Google Scholar
  48. P. Di Vecchia, Phys. Lett. 85B (1979) 357;Google Scholar
  49. P. Nath and R. Arnowitt, Phys. Rev. D23 (1981) 473.ADSCrossRefGoogle Scholar
  50. 31.
    S. Coleman and E. Witten, Phys. Rev. Lett. 45 (1980) 100.MathSciNetADSCrossRefGoogle Scholar
  51. 32.
    P. Minkowski, Phys. Lett. B237 (1990) 531, discusses an alternative picture, where the topological susceptibility diverges in the large-Ne limit.Google Scholar
  52. 33.
    P. Di Vecchia and G. Veneziano, Neel. Phys. B171 (1980) 253;ADSGoogle Scholar
  53. C. Rosenzweig, J. Schechter and T. Trahern, Phys. Rev. D21 (1980) 3388;ADSGoogle Scholar
  54. E. Witten, Ann. Phys. (N. Y.) 128 (1980) 363.ADSCrossRefGoogle Scholar
  55. 34.
    H. Leutwyler, Phys. Lett. B374 (1996) 163.Google Scholar
  56. 35.
    H. Leutwyler, Proc. XXVI Int. Conf. on High Energy Physics, Dallas, Aug. 1992,ed. J. R. Sanford (AIP Conf. Proc. No. 272, New York 1993) and in Yukawa couplings and the origin of mass, Proc. 2nd IFT Workshop, University of Florida, Gainesville, Feb. 1994,ed. P. Ramond, to he published by International Press.Google Scholar
  57. 36.
    A. I. Vainshtein et al., Soy. J. Neel. Phys. 27 (1978) 274;Google Scholar
  58. B. L. Ioffe, Neel. Phys. B188 (1981) 317; B191 (1981) 591(E).Google Scholar
  59. 37.
    I only quote the papers published in the last two years — earlier work may he found in the references therein: V. L. Eletsky and B. L. Ioffe, Phys. Rev. D48 (1993) 1441;Google Scholar
  60. C. Adami, E. G. Drukarev and B. L. Ioffe, Phys. Rev. D48 (1993) 2304;ADSCrossRefGoogle Scholar
  61. X. Jin, M. Nielsen and J. Pasupathy, Phys. Rev. D51 (1995) 3688;ADSGoogle Scholar
  62. M. Jamin and M. Münz, Z. Phys. C66 (1995) 633;Google Scholar
  63. K. G. Chetyrkin, C. A. Dominguez, D. Pirjol and K. Schilcher, Phys. Rev. D51 (1995) 5090.ADSGoogle Scholar
  64. 38.
    J. Bijnens, J. Prades and E. de Rafael, Phys. Lett. B348 (1995) 226.Google Scholar
  65. 39.
    P. B. Mackenzie, Neel. Phys. B (Proc. Suppl.) 34 (1994) 400;Google Scholar
  66. B. Gough, T. Onogi and J. Simone, in Proc. Int. Symp. on Lattice Field Theory, Melbourne, Australia (1995),preprint hep-lat/9510009.Google Scholar
  67. 40.
    C. R. Allton, M. Ciuchini, M. Crisafully, E. Franco, V. Luhicz and G. Martinelli, Nucl. Phys. B431 (1994) 667.ADSCrossRefGoogle Scholar
  68. 41.
    H. Leutwyler, Phys. Lett. B378 (1996) 313.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • H. Leutwyler
    • 1
    • 2
  1. 1.Institut für theoretische PhysikUniversität BernBerneSwitzerland
  2. 2.Switzerland

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