Abstract
We consider recent theoretical and experimental improvements in determining charm- and bottom-quark masses. We present a new, improved evaluation of the contribution of the gluon condensate 〈α s G2/π〉 to the charm mass determination and a detailed study of potential uncertainties in the continuum cross section for \(b\bar b\) production, together with a study of the parametric uncertainty from the α s -dependence of our results. The final results, mc(3 GeV) = 986(13) MeV and mb(mb) = 4163(16) MeV, together with the closely related lattice determination mc(3 GeV) = 986(6) MeV, currently represent the most precise determinations of these two fundamental standard-model parameters. We critically analyze the theoretical and experimental uncertainties.
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M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B, 147, 385–447 (1979).
J. H. Kühn and M. Steinhauser, Nucl. Phys. B, 619, 588–602 (2001); Erratum, 640, 415 (2002); arXiv:hep-ph/0109084v3 (2001).
K. G. Chetyrkin, J. H. Kühn, and M. Steinhauser, Phys. Lett. B, 371, 93–98 (1996); arXiv:hep-ph/9511430v1 (1995).
K. G. Chetyrkin, J. H. Kühn, and M. Steinhauser, Nucl. Phys. B, 482, 213–240 (1996); arXiv:hep-ph/9606230v1 (1996).
K. G. Chetyrkin, J. H. Kühn, and M. Steinhauser, Nucl. Phys. B, 505, 40–64 (1997); arXiv:hep-ph/9705254v1 (1997).
J. H. Kühn, M. Steinhauser, and C. Sturm, Nucl. Phys. B, 778, 192–215 (2007); arXiv:hep-ph/0702103v1 (2007).
K. G. Chetyrkin, J. H. Kühn, and C. Sturm, Eur. Phys. J. C, 48, 107–110 (2006); arXiv:hep-ph/0604234v2 (2006).
R. Boughezal, M. Czakon, and T. Schutzmeier, Phys. Rev. D, 74, 074006 (2006); arXiv:hep-ph/0605023v3 (2006).
A. Maier, P. Maierhofer, and P. Marqaurd, Phys. Lett. B, 669, 88–91 (2008); arXiv:0806.3405v2 [hep-ph] (2008).
A. Maier, P. Maierhofer, P. Marquard, and A. V. Smirnov, Nucl. Phys. B, 824, 1–18 (2010); arXiv:0907.2117v1 [hep-ph] (2009).
Y. Kiyo, A. Maier, P. Maierhöfer, and P. Marquard, Nucl. Phys. B, 823, 269–287 (2009); arXiv:0907.2120v1 [hep-ph] (2009).
K. G. Chetyrkin, J. H. Kühn, A. Maier, P. Maierhöfer, P. Marquard, M. Steinhauser, and C. Sturm, Phys. Rev. D, 80, 074010 (2009); arXiv:0907.2110v1 [hep-ph] (2009).
R. Boughezal, M. Czakon, and T. Schutzmeier, Nucl. Phys. (Proc. Suppl.), 160, 160–164 (2006); arXiv:hep-ph/0607141v1 (2006).
A. Maier, P. Maierhöfer, and P. Marquard, Nucl. Phys. B, 797, 218–242 (2008).
C. Sturm, JHEP, 0809, 075 (2008); arXiv:0805.3358v1 [hep-ph] (2008).
I. Allison et al. (HPQCD Collab.), Phys. Rev. D, 78, 054513 (2008); arXiv:0805.2999v2 [hep-lat] (2008).
V. A. Novikov, L. B. Okun, M. A. Shifman, A. I. Vainshtein, M. B. Voloshin, and V. I. Zakharov, Phys. Rep., 41, 1–133 (1978).
D. J. Broadhurst, P. A. Baikov, V. A. Ilyin, J. Fleischer, O. V. Tarasov, and V. A. Smirnov, Phys. Lett. B, 329, 103–110 (1994); arXiv:hep-ph/9403274v1 (1994).
B. L. Ioffe, Prog. Part. Nucl. Phys., 56, 232–277 (2006); arXiv:hep-ph/0502148v2 (2005).
K. G. Chetyrkin, J. H. Kühn, and M. Steinhauser, Comput. Phys. Commun., 133, 43–65 (2000); arXiv:hep-ph/0004189v1 (2000).
C. McNeile, C. T.H. Davies, E. Follana, K. Hornbostel, and G. P. Lepage, Phys. Rev. D, 82, 034512 (2010); arXiv:1004.4285v1 [hep-lat] (2010).
S. Bodenstein, J. Bordes, C. A. Dominguez, J. Peñarrocha, and K. Schilcher, Phys. Rev. D, 82, 114013 (2010); arXiv:1009.4325v2 [hep-ph] (2010).
D. Besson et al. (CLEO Collab.), Phys. Rev. Lett., 54, 381–384 (1985).
B. Aubert et al. (BABAR Collab.), Phys. Rev. Lett., 102, 012001 (2009); arXiv:0809.4120v1 [hep-ex] (2008).
R. V. Harlander and M. Steinhauser, Comput. Phys. Commun., 153, 244–274 (2003); arXiv:hep-ph/0212294v3 (2002).
W.-M. Yao et al. (Particle Data Group), J. Phys. G, 33, 1–1232 (2006); arXiv:astro-ph/0601168v2 (2006).
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 2, pp. 265–279, February, 2012.
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Chetyrkin, K.G., Kühn, J.H., Maier, A. et al. Precise charm- and bottom-quark masses: Theoretical and experimental uncertainties. Theor Math Phys 170, 217–228 (2012). https://doi.org/10.1007/s11232-012-0024-7
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DOI: https://doi.org/10.1007/s11232-012-0024-7