Renormalization and running of quark mass and field in the regularization invariant and MS schemes at three and four loops

Nuclear Physics B

Volumn 583, Issue 1-2, 2000, Pages 3-34

  Chetyrkin, K G ^a   Retey A ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

12.15.F; 12.38.B; 12.38.C; 12.38.G; Anomalous dimensions; Lattice QCD calculations; Perturbation theory; Quantum chromodynamics; Quark masses; Scheme dependence

Indexed keywords

EID: 0002877127     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00331-X     Document Type: Article

References (67)

1. 't Hooft G. Nucl. Phys. B. Vol. 61:1973;455.
2. Bardeen W.A., Buras A.J., Duke D.W., Muta T. Phys. Rev. D. Vol. 18:1978;3998.
3. Chetyrkin K.G., Kühn J.H., Kwiatkowski A. Phys. Rep. Vol. 277:(189):1996.
4. Prades J. Nucl. Phys. Proc. Suppl. Vol. 64:1998;253 hep-ph/9708395.
5. Jamin M. Nucl. Phys. Proc. Suppl. Vol. 64:1998;250 hep-ph/9709484.
6. Dominguez C.A., Pirovano L., Schilcher K. Nucl. Phys. Proc. Suppl. Vol. 74:1999;313 hep-ph/9809338.
7. Narison S. hep-ph/9905264.
8. Chetyrkin K.G., Kuhn J.H., Pivovarov A.A. Nucl. Phys. B. Vol. 533:1998;473 hep-ph/9805335.
9. Prades J., Pich A. Nucl. Phys. Proc. Suppl. Vol. 74:1999;309 hep-ph/9811263.
10. Lubicz V. Nucl. Phys. Proc. Suppl. Vol. 74:1999;291 hep-ph/9809417.
11. Kenway R.D. Nucl. Phys. Proc. Suppl. Vol. 73:1999;16 hep-lat/9810054.
12. Gimenez V. Nucl. Phys. Proc. Suppl. Vol. 74:1999;296 hep-ph/9810532.
13. Sharpe S.R. hep-lat/9811006.
14. Leutwyler H. Nucl. Phys. B. Vol. 337:1990;108. and references therein Phys. Lett. B. Vol. 378:1996;313.
15. Leutwyler H. Nucl. Phys. B. Vol. 337:1990;108. and references therein Phys. Lett. B. Vol. 378:1996;313.
16. Luscher M. hep-lat/9802029.
17. Martinelli G., Pittori C., Sachrajda C.T., Testa M., Vladikas A. Nucl. Phys. B. Vol. 445:1995;81 hep-lat/9411010.
18. Capitani S. et al. Nucl. Phys. Proc. Suppl. Vol. 63:1997;153 hep-lat/9709125.
19. Sint S., Weisz P. Nucl. Phys. B. Vol. 545:1999;529 hep-lat/9808013.
20. Gupta R., Bhattacharya T. Phys. Rev. D. Vol. 55:1997;7203 hep-lat/9605039.
21. Gough B.J. et al. Phys. Rev. Lett. Vol. 79:1997;1622 hep-ph/9610223.
22. Allton C.R., Gimenez V., Giusti L., Rapuano F. Nucl. Phys. B. Vol. 489:1997;427 hep-lat/9611021.
23. Leutwyler H. Nucl. Phys. B. Vol. 337:1990;108. and references therein Phys. Lett. B. Vol. 378:1996;313.
24. Eicker N. et al. Phys. Lett. B. Vol. 407:1997;290 hep-lat/9704019 Phys. Rev. D. Vol. 59:1999;014509 hep-lat/9806027.
25. Cucchieri A., Masetti M., Mendes T., Petronzio R. Phys. Lett. B. Vol. 422:1998;212 hep-lat/9711040.
26. Gockeler M., Horsley R., Perlt H., Rakow P., Schierholz G., Schiller A., Stephenson P. Phys. Rev. D. Vol. 57:1998;5562 hep-lat/9707021.
27. Gimenez V., Giusti L., Rapuano F., Talevi M. Nucl. Phys. B. Vol. 540:1999;472 hep-lat/9801028.
28. Becirevic D., Boucaud Ph., Leroy J.P., Lubicz V., Martinelli G., Mescia F. Phys. Lett. B. Vol. 444:1998;401 hep-lat/9807046.
29. Garden J. et al. DESY-99-075 hep-lat/9906013.
30. Gockeler M., Horsley R., Oerlich H., Petters D., Pleiter D., Rakow P., Schierholz G., Stephenson P. DESY 99-097 hep-lat/9908005.
31. Aoki S. et al. Phys. Rev. Lett. Vol. 82:1999;4392-4395 hep-lat/9901019.
32. Aoki S. et al. UTCCP-P-65 hep-lat/9904012.
33. Blum T., Soni A., Wingate M. BNL-HET-99-2. to appear in Phys. Rev. D hep-lat/9902016.
34. Franco E., Lubicz V. Nucl. Phys. B. Vol. 531:1998;641 hep-ph/9803491.
35. 't Hooft G., Veltman M. Nucl. Phys. B. Vol. 44:1972;189.
36. Bollini C.G., Giambiagi J.J. Phys. Lett. B. Vol. 40:1972;566.
37. Cicuta G.M., Montaldi E. Nuovo Cimento Lett. Vol. 4:1972;329.
38. Ashmore J.F. Nuovo Cimento Lett. Vol. 4:1972;289.
39. Breitenlohner P., Maison D. Commun. Math. Phys. Vol. 52:1977;11.
40. Breitenlohner P., Maison D. Commun. Math. Phys. Vol. 52:1977;55.
41. Lowenstein J., Zimmermann W., Weinstein M. Phys. Rev. D. Vol. 10:1974;2500.
42. Lowenstein J., Weinstein M., Zimmermann W. Phys. Rev. D. Vol. 10:1974;1854.
43. Weinberg S. Phys. Rev. D. Vol. 8:1973;3497.
44. Gockeler M. et al. Nucl. Phys. B. Vol. 544:1999;699 hep-lat/9807044.
45. Fleischer J., Jegerlehner F., Tarasov O.V., Veretin O.L. Nucl. Phys. B. Vol. 539:1998;671 hep-ph/9803493.
46. Chetyrkin K.G., Tkachov F.V. Nucl. Phys. B. Vol. 192:1981;159.
47. Kuhn J.H. hep-ph/9901330. A recent review of expansion techniques and physical results obtained with their help.
48. Chetyrkin K.G., Kuhn J.H. Nucl. Phys. B. Vol. 432:1994;337 hep-ph/9406299.
49. Chetyrkin K.G., Harlander R., Kuhn J.H., Steinhauser M. Nucl. Phys. B. Vol. 503:1997;339 hep-ph/9704222.
50. Harlander R., Steinhauser M. Phys. Rev. D. Vol. 56:1997;3980 hep-ph/9704436.
51. Harlander R., Steinhauser M. Eur. Phys. J. C. Vol. 2:1997;151 hep-ph/9710413.
52. Nogueira P. J. Comp. Phys. Vol. 105:1993;279.
53. Harlander R. PhD Thesis. 1998;Shaker Verlag, Aachen. ISBN 3-8265-4545-1.
54. Larin S.A., Tkachov F.V., Vermaseren J.A.M. NIKHEF-H/91-18. Amsterdam, 1991.
55. Steinhauser M. PhD Thesis. 1996;Shaker Verlag, Aachen. ISBN 3-8265-1680-X.
56. Harlander R., Steinhauser M. Progr. Part. Nucl. Phys. Vol. 43:1999;167 hep-ph/9812357.
57. J.A. Vermaseren, private communication.
58. Chetyrkin K.G. Phys. Lett. B. Vol. 404:1997;161 hep-ph/9703278.
59. Vermaseren J.A., Larin S.A., van Ritbergen T. Phys. Lett. B. Vol. 405:1997;327 hep-ph/9703284.
60. van Ritbergen T., Vermaseren J.A., Larin S.A. Phys. Lett. B. Vol. 400:1997;379 hep-ph/9701390.
61. Broadhurst D.J. hep-th/9909185.
62. Gorishny S.G., Kataev A.L., Larin S.A. Phys. Lett. B. Vol. 259:1991;144.
63. Surguladze L.R., Samuel M.A. Phys. Rev. Lett. Vol. 66:1991;560 Phys. Rev. Lett. Vol. 66:1991;2416. (Erratum).
64. Surguladze L.R., Samuel M.A. Phys. Rev. Lett. Vol. 66:1991;560 Phys. Rev. Lett. Vol. 66:1991;2416. (Erratum).
65. Chetyrkin K.G. Phys. Lett. B. Vol. 391:1997;402.
66. Becirevic D., Gimenez V., Lubicz V., Martinelli G. Phys. Rev. D. Vol. 61:2000;114507 hep-lat/9909082.
67. Broadhurst D.J. Phys. Lett. B. Vol. 466:1999;319 hep-ph/9909336.