Chetyrkin, K. G.; Kühn, J. H.; Steinhauser, M. RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses. (English) Zbl 0970.81087 Comput. Phys. Commun. 133, No. 1, 43-65 (2000). Summary: In this paper the formulae are collected which are needed for the computation of the strong coupling constant and quark masses at different energy scales and for different number of active flavors. All equations contain the state-of-the-art QCD corrections up to three- and sometimes even four-loop order. For the practical implementation Mathematica is used and a package containing useful procedures is provided. Cited in 29 Documents MSC: 81V05 Strong interaction, including quantum chromodynamics 81-08 Computational methods for problems pertaining to quantum theory 81-04 Software, source code, etc. for problems pertaining to quantum theory 81T15 Perturbative methods of renormalization applied to problems in quantum field theory Keywords:strong coupling constant; quark Software:CRunDec; Mathematica; RunDec PDF BibTeX XML Cite \textit{K. G. Chetyrkin} et al., Comput. Phys. Commun. 133, No. 1, 43--65 (2000; Zbl 0970.81087) Full Text: DOI arXiv References: [1] Chetyrkin, K. G.; Kühn, J. H.; Kwiatkowski, A., Phys. Reports, 277, 189 (1996) [2] van Ritbergen, T.; Vermaseren, J. A.M; Larin, S. A., Phys. Lett. B, 400, 379 (1997) [3] Bardeen, W. A.; Buras, A. J.; Duke, D. W.; Muta, T., Phys. Rev. D, 18, 3998 (1978) [4] Appelquist, T.; Carazzone, J., Phys. Rev. D, 11, 2856 (1975) [5] Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M., Phys. Rev. Lett., 79, 2184 (1997) [6] Larin, S. A.; van Ritbergen, T.; Vermaseren, J. A.M, Phys. Lett. B, 405, 327 (1997) [7] Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M., Nucl. Phys. B, 510, 61 (1998) [8] Rodrigo, G.; Pich, A.; Santamaria, A., Phys. Lett. B, 424, 367 (1998) [9] Wolfram, S., Mathematica – a System for Doing Mathematics by Computer (1988), Addison-Wesley: Addison-Wesley New York · Zbl 0671.65002 [10] Politzer, H. D., Phys. Rev. Lett., 30, 1346 (1973) [11] Egoryan, É. Sh; Tarasov, O. V., Teor. Mat. Fiz.. Teor. Mat. Fiz., Theor. Math. Phys., 41, 863 (1979) [12] Larin, S. A.; Vermaseren, J. A.M, Phys. Lett. B, 303, 334 (1993) [13] Furmanski, W.; Petronzio, R., Z. Phys. C, 11, 293 (1982) [14] Tarrach, R., Nucl. Phys. B, 183, 384 (1981) [15] Tarasov, O. V., (1982) [16] Larin, S. A., (Alexeev, E. N.; Matveev, V. A.; Nirov, Kh. S.; Rubakov, V. A., Proc. Int. Baksan School “Particles and Cosmology”, April 22-27, 1993, Kabardino-Balkaria, Russia (1994), World Scientific: World Scientific Singapore), Report Nos.: Preprint NIKHEF-H/92-18 (1992) [17] Gray, N.; Broadhurst, D. J.; Grafe, W.; Schilcher, K., Z. Phys. C, 48, 673 (1990) [18] Floratos, E. G.; Narison, S.; de Rafael, E., Nucl. Phys. B, 155, 115 (1979) [19] Fleischer, J.; Jegerlehner, F.; Tarasov, O. V.; Veretin, O. L., Nucl. Phys. B. Nucl. Phys. B, (E) ibid., 571, 511 (2000) [20] Chetyrkin, K. G.; Steinhauser, M., Nucl. Phys. B, 573, 617 (2000), (Hamburg, Karlsruhe, 1999) [21] Melnikov, K.; van Ritbergen, T., Phys. Lett. B, 482, 99 (2000), Report Nos.: [22] Martinelli, G., Nucl. Phys., 445, 81 (1995), see also <ce:cross-refs refid=“BIB023 BIB024”>[23,24] [23] Weinberg, S., Phys. Rev. D, 8, 3497 (1973) [24] Franco, E.; Lubicz, V., Nucl. Phys. B, 531, 641 (1998) [25] Chetyrkin, K. G.; Rétey, A., (Karlsruhe, 1999) [26] Ovrut, B. A.; Schnitzer, H. J., Phys. Lett. B, 100, 403 (1981) [27] Bernreuther, W., Ann. Phys.. Ann. Phys., Z. Phys. C, 20, 331 (1983) [28] Larin, S. A.; van Ritbergen, T.; Vermaseren, J. A.M, Nucl. Phys. B, 438, 278 (1995) [29] Broadhurst, D. J., Z. Phys. C, 54, 599 (1992) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.