Abstract
The first crude estimates for the magnitude of the three lightest quark masses appeared more than 20 years ago:1
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References
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.
J. Gasser and H. Leutwyler, Nucl. Phys. B94 (1975) 269.
S. Weinberg, in A Festschrift for I.I. Rabi,ed. L. Motz, Trans. New York Acad. Sci. Ser. II 38 (1977) 185.
J. Gasser, H. Leutwyler and M. E. Sainio, Phys. Lett. B253 (1991) 252.
S. Weinberg, Physica A96 (1979) 327.
J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 465.
D. B. Kaplan and A. V. Manohar, Phys. Rev. Lett. 56 (1986) 2004.
R. Dashen, Phys. Rev. 183 (1969) 1245.
P. Langacker and H. Pagels, Phys. Rev. D8 (1973) 4620;
K. Maltman and D. Kotchan, Mod. Phys. Lett. A5 (1990) 2457;
G. Stephenson, K. Maltman and T. Goldman, Phys. Rev. D43 (1991) 860.
J. Donoghue, B. Holstein and D. Wyler, Phys. Rev. D47 (1993) 2089.
R. Urech, Nucl. Phys. B433 (1995) 234;
R. Baur and R. Urech, Phys. Rev. D53 (1996) 6552.
J. Bijnens, Phys. Lett. B306 (1993) 343.
W. A. Bardeen, A. Burgs and J.-M. Gérard, Phys. Left. B211 (1988) 343;
W. A. Bardeen, J. Bijnens and J.-M. Gérard, Phys. Rev. Lett. 62 (1989) 1343.
A. Duncan, E. Eichten and H. Thacker, Phys. Rev. Lett. 76 (1996) 3894.
J. Gasser and H. Leutwyler, Nucl. Phys. B250 (1985) 539.
D. G. Sutherland, Phys. Lett. 23 (1966) 384;
J. S. Bell and D. G Sutherland, Nucl. Phys. B4 (1968) 315;
For a recent analysis of the electromagnetic contributions, see R. Baur, J. Kambor and D. Wyler, Nucl. Phys. B460 (1996) 127.
J. Kambor, C. Wiesendanger and D. Wyler, Nucl. Phys. B465 (1996) 215.
A. V. Anisovich and H. Leutwyler, Phys. Lett. B375 (1996) 335;
H. Leutwyler, Phys. Left. B374 (1996) 181.
Review of Particle Properties, Phys. Rev. D45 (1992).
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.
R. Urech, Phys. Left. B355 (1995) 308.
B. L. Ioffe and M. A. Shifrnan, Phys. Lett. B95 (1980) 99 and the references therein.
J. Donoghue and D. Wyler, Phys. Rev. D45 (1992) 892.
M. Luty and R. Sundrum, Phys. Lett. B312 (1993) 205.
J. Donoghue, B. Holstein and D. Wyler, Phys. Rev. Lett. 69 (1992) 3444;
J. Donoghue, Lectures given at the Theoretical Advanced Study Institute, Boulder, Colorado (1993);
D. Wyler, Proc. XVI Kazimierz Meeting on Elementary Particle Physics, eds. Z. Ajduk et al. (World Scientific, Singapore, 1994).
G. Ecker et al., Nucl. Phys. B321 (1989) 311;
G. Ecker et al., Phys. Lett. B223 (1989) 425.
H. Leutwyler, Nucl. Phys. B337 (1990) 108.
J. F. Donoghue, B. R. Holstein and Y. C. R. Lin, Phys. Rev. Lett. 55 (1985) 2766;
F. Gilman and R. Kaufmann, Phys. Rev. D36 (1987) 2761;
Riazuddin and Fayazuddin, Phys. Rev. D37 (1988) 149;
J. Bijnens, A. Bramon and F. Cornet, Phys. Rev. Lett. 61 (1988) 1453;
ASP Collaboration, N. A. Roe et al., Phys. Rev. D41 (1990) 17.
J.-M. Gerard, Mod. Phys. Lett. A5 (1990) 391.
G. ‘t Hooft, Nucl. Phys. B72 (1974) and B75 (1974) 461;
G. Veneziano, Nucl. Phys. B117 (1974) 519 and B159 (1979) 213;
R.. J. Crewther, Phys. Lett. 70B (1977) 349 and in Field Theoretical Methods in Particle Physics, ed. W. Rühl (Plenum, New York, 1980);
E. Witten, Nucl. Phys. B156 (1979) 213 and B117 (1980) 57;
P. Di Vecchia, Phys. Lett. 85B (1979) 357;
P. Nath and R. Arnowitt, Phys. Rev. D23 (1981) 473.
S. Coleman and E. Witten, Phys. Rev. Lett. 45 (1980) 100.
P. Minkowski, Phys. Lett. B237 (1990) 531, discusses an alternative picture, where the topological susceptibility diverges in the large-Ne limit.
P. Di Vecchia and G. Veneziano, Neel. Phys. B171 (1980) 253;
C. Rosenzweig, J. Schechter and T. Trahern, Phys. Rev. D21 (1980) 3388;
E. Witten, Ann. Phys. (N. Y.) 128 (1980) 363.
H. Leutwyler, Phys. Lett. B374 (1996) 163.
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.
A. I. Vainshtein et al., Soy. J. Neel. Phys. 27 (1978) 274;
B. L. Ioffe, Neel. Phys. B188 (1981) 317; B191 (1981) 591(E).
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;
C. Adami, E. G. Drukarev and B. L. Ioffe, Phys. Rev. D48 (1993) 2304;
X. Jin, M. Nielsen and J. Pasupathy, Phys. Rev. D51 (1995) 3688;
M. Jamin and M. Münz, Z. Phys. C66 (1995) 633;
K. G. Chetyrkin, C. A. Dominguez, D. Pirjol and K. Schilcher, Phys. Rev. D51 (1995) 5090.
J. Bijnens, J. Prades and E. de Rafael, Phys. Lett. B348 (1995) 226.
P. B. Mackenzie, Neel. Phys. B (Proc. Suppl.) 34 (1994) 400;
B. Gough, T. Onogi and J. Simone, in Proc. Int. Symp. on Lattice Field Theory, Melbourne, Australia (1995),preprint hep-lat/9510009.
C. R. Allton, M. Ciuchini, M. Crisafully, E. Franco, V. Luhicz and G. Martinelli, Nucl. Phys. B431 (1994) 667.
H. Leutwyler, Phys. Lett. B378 (1996) 313.
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Leutwyler, H. (1997). Light-Quark Masses. In: Lévy, M., Iliopoulos, J., Gastmans, R., Gérard, JM. (eds) Masses of Fundamental Particles. NATO ASI Series, vol 363. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0242-9_6
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