Abstract
In this lecture I present a pedagogical introduction to the low-energy phenomenology of light flavors. The renormalization scheme freedom in defining QCD parameters is discussed. I show in some details how one can extract an accurate numerical value for the strong coupling constant from the τ-lepton decay rate into hadrons. As a related topic I discuss some peculiarities of the precise definition of the quark mass in theories with confinement and describe the strange quark mass determination from data on τ-lepton decays employing contour resummation which is a modern technique of the precision analysis in perturbative QCD.
Preview
Unable to display preview. Download preview PDF.
References
1. C.N. Yang and R.L. Mills: Phys. Rev. 96, 191 (1954); M. Gell-Mann: Phys. Lett. 8, 214 (1964); M-Y. Han, Y. Nambu: Phys. Rev. B 139, 1006 (1965); W.A. Bardeen, H. Fritzsch, M. Gell-Mann: In: Scale and Conformal Symmetry in Hadron Physics. ed. by R. Gatto (Wiley, New York 1973); H. Pagels: Phys. Rept. C 16, 219 (1975)
2. D.E. Groom et al. (Particle Data Group): Eur. Phys. J. C 15, 1 (2000)
3. N.N. Bogoliubov and D.V. Shirkov: Quantum Fields (Benjamin, New York 1983)
4. I.I. Bigi, M.A. Shifman, N.G. Uraltsev and A.I. Vainshtein: Phys. Rev. D 50, 2234 (1994); M. Beneke and V.M. Braun: Nucl. Phys. B 426, 301 (1994)
5. E. Stuekelberg and A. Peterman: Helv. Phys. Acta 26, 499 (1953); M. Gell-Mann and E.E. Low: Phys. Rev. 95, 1300 (1954); N.N. Bogoliubov and D.V. Shirkov: Dokl. Akad. Nauk 103, 391 (1955)
6. P.M. Stevenson: Phys. Rev. D 23, 2916 (1981)
7. T. van Ritbergen, J.A.M. Vermaseren and S.A. Larin: Phys. Lett. B 400, 379 (1997); K.G. Chetyrkin: Phys. Lett. B 404, 161 (1997); T. van Ritbergen, J.A.M. Vermaseren and S.A. Larin: Phys. Lett. B 405, 327 (1997)
8. M. Jezabek, J.H. Kuhn, M. Peter, Y. Sumino and T. Teubner: Phys. Rev. D 58, 014006 (1998); N.V. Krasnikov and A.A. Pivovarov: Mod. Phys. Lett. A 11, 835 (1996); Phys. Atom. Nucl. 64, 1500 (2001); Nucl. Phys. B 413, 481 (1994); A.A. Pivovarov: “Heavy quark production near the threshold in QCD.” [arXiv:hep-ph/0110398]
9. H.D. Politzer: Nucl. Phys. B 117, 397 (1976); M.A. Shifman, A.I. Vainshtein and V.I. Zakharov: Nucl. Phys. B 147, 385 (1979); B.V. Geshkenbein, B.L. Ioffe and K.N. Zyablyuk: Phys. Rev. D 64, 093009 (2001)
10. A.C. Kalloniatis, D.B. Leinweber, W. Melnitchouk and A.G. Williams, Lattice Hadron Physics. Proceedings, (Cairns, Australia, July 9-18, 2001)
11. C. Bernard, A. Duncan, J. LoSecco and S. Weinberg: Phys. Rev. D 12, 792 (1975); E. Poggio, H. Quinn and S. Weinberg: Phys. Rev. D 13, 1958 (1976); R. Shankar: Phys. Rev. D 15, 755 (1977); K.G. Chetyrkin, N.V. Krasnikov and A.N. Tavkhelidze: Phys. Lett. B 76, 83 (1978)
12. N.V. Krasnikov, A.A. Pivovarov and N. Tavkhelidze: JETP Lett. 36, 333 (1982), Z. Phys. C 19, 301 (1983); N.V. Krasnikov and A.A. Pivovarov: Phys. Lett. B 112, 397 (1982); A.A. Pivovarov: Phys. Atom. Nucl. 62, 1924 (1999); A.A. Pivovarov and A.S. Zubov: Phys. Atom. Nucl. 63, 1650 (2000)
13. K. Schilcher and M.D. Tran: Phys. Rev. D 29, 570 (1984); E. Braaten: Phys. Rev. Lett. 60, 1606 (1988); S. Narison and A. Pich: Phys. Lett. B 211, 183 (1988); A.A. Pivovarov: Sov. J. Nucl. Phys. 54, 676 (1991); E. Braaten, S. Narison and A. Pich: Nucl. Phys. B 373, 581 (1992)
14. S.G. Gorishny, A.L. Kataev and S.A. Larin: Phys. Lett. B 259, 144 (1991); L.R. Surguladze and M.A. Samuel: Phys. Rev. Lett. 66, 560 (1991); Phys.Rev. D 44, 1602 (1991); K.G. Chetyrkin: Phys. Lett. B 391, 402 (1997)
15. P.A. Baikov, K.G. Chetyrkin and J.H. Kühn: Phys. Rev. Lett. 88, 012001 (2002)
16. K.G. Chetyrkin and A.A. Pivovarov: Nuovo Cim. A 100, 899 (1988); A.A. Pivovarov: JETP Lett. 55, 6 (1992); Int. J. Mod. Phys. A 10, 3125 (1995)
17. ALEPH collaboration: Z. Phys. C 76, 15 (1997); Eur. Phys. J. C 4, 409 (1998); ibid C 11, 599 (1999); OPAL collaboration: Eur. Phys. J. C 7, 571 (1999)
18. J.G. Körner, F. Krajewski and A.A. Pivovarov: Phys. Rev. D 63, 036001 (2001)
19. S. Groote, J.G. Körner, A.A. Pivovarov and K. Schilcher: Phys. Rev. Lett. 79, 2763 (1997); S.J. Brodsky, J.R. Pelaez and N. Toumbas: Phys. Rev. D 60, 037501 (1999); J.G. Körner, F. Krajewski and A.A. Pivovarov: Eur. Phys. J. C 12, 461 (2000); ibid C 14, 123 (2000)
20. K.G. Chetyrkin, J.H. Kühn and A.A. Pivovarov: Nucl. Phys. B 533, 473 (1998); A. Pich and J. Prades: JHEP 9806, 013 (1998); ibid 9910, 004 (1999)
21. S. Narison and E. de Rafael: Phys. Lett. B 103, 57 (1981); J. Gasser and H. Leutwyler: Phys. Rept. 87, 77 (1982)
22. A.L. Kataev, N.V. Krasnikov and A.A. Pivovarov: Phys. Lett. B 123, 93 (1983); Nuovo Cim. A 76, 723 (1983)
23. J.G. Körner, F. Krajewski and A.A. Pivovarov: Eur. Phys. J. C 20, 259 (2001)
24. A.L. Kataev and V.V. Starshenko: Mod. Phys. Lett. A 10, 235 (1995); K.G. Chetyrkin, B.A. Kniehl and A. Sirlin: Phys. Lett. B 402, 359 (1997)
25. A.A. Pivovarov: Z. Phys. C 53, 461 (1992); Nuovo Cim. A 105, 813 (1992); F. Le Diberder and A. Pich: Phys. Lett. B 286, 147 (1992); S. Groote, J.G. Körner and A.A. Pivovarov: Phys. Lett. B 407, 66 (1997); Mod. Phys. Lett. A 13, 637 (1998)
26. G. Grunberg: Phys. Lett. B 95, 70 (1980)
27. N.V. Krasnikov: Nucl. Phys. B 192, 497 (1981); A.L. Kataev, N.V. Krasnikov and A.A. Pivovarov: Phys. Lett. B 107, 115 (1981); Nucl. Phys. B 198, 508 (1982); A. Dhar and V. Gupta: Phys. Rev. D 29, 2822 (1984)
28. W.J. Marciano and A. Sirlin: Phys. Rev. Lett. 61, 1815 (1988); E. Braaten and C.S. Li: Phys. Rev. D 42, 3888 (1990)
29. C. Becchi, S. Narison, E. de Rafael and F.J. Yndurain: Z. Phys. C 8, 335 (1981); A.A. Ovchinnikov and A.A. Pivovarov: Phys. Lett. B 163, 231 (1985); N.V. Krasnikov and A.A. Pivovarov: Nuovo Cim. A 81, 680 (1984); Y. Chung et al.: Z. Phys. C 25, 151 (1984); H.G. Dosch and S. Narison: Phys. Lett. B 417, 173 (1998)
30. A.A. Pivovarov: “Spectrality, coupling constant analyticity and the renormalization group,” to appear in Yad. Fiz. [arXiv:hep-ph/0104213]; S. Groote, J.G. Körner and A.A. Pivovarov: Phys. Rev. D 65, 036001 (2002)
31. S.G. Gorishnii, A.L. Kataev and S.A. Larin: Phys. Lett. B 135, 457 (1984); M. Jamin and M. Munz: Z. Phys. C 66, 633 (1995); K.G. Chetyrkin, D. Pirjol and K. Schilcher: Phys. Lett. B 404, 337 (1997)
32. K. Maltman and J. Kambor: Phys. Rev. D 65, 074013 (2002); Phys. Lett. B 517, 332 (2001); Nucl. Phys. A 684, 348 (2001); Phys. Rev. D 62, 093023 (2000); K. Maltman: Nucl. Phys. Proc. Suppl. A 109, 178 (2002); arXiv:hep-ph/0209091
33. S. Chen, M. Davier, E. Gamiz, A. Hocker, A. Pich and J. Prades: Eur. Phys. J. C 22, 31 (2001)
34. ALPHA and UKQCD Collaboration (J. Garden et al.): Nucl. Phys. B 571, 237 (2000); ALPHA Collaboration (M. Guagnelli et al.): Nucl. Phys. B 560, 465 (1999)
Author information
Authors and Affiliations
Editor information
Rights and permissions
About this chapter
Cite this chapter
Pivovarov, A.A. Extraction of the Strong Coupling Constant and Strange Quark Mass from Semileptonic τ Decays. In: Blaschke, D., Ivanov, M.A., Mannel, T. (eds) Heavy Quark Physics. Lecture Notes in Physics, vol 647. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40975-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-40975-5_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21921-7
Online ISBN: 978-3-540-40975-5
eBook Packages: Springer Book Archive