Two-loop script O sign (ααs)corrections to the on-shell fermion propagator in the standard model

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 010-

  Eiras, Dolors ^a   Steinhauser, Matthias ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

NLO Computations; QCD

Indexed keywords

EID: 33644771079     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/010     Document Type: Article

References (37)

1. See, e.g., http://linearcollider.org/
2. A.H. Hoang et al., Top-antitop pair production close to threshold: synopsis of recent nnlo results 2000 Eur. Phys. J. direct C 2 1 [hep-ph/0001286]
3. B.A. Kniehl, A.A. Penin, V.A. Smirnov and M. Steinhauser, Potential NRQCD and heavy-quarkonium spectrum at next-to- next-to-next-to-leading order 2002 Nucl. Phys. B 635 357 [hep-ph/0203166]
4. 5M(q)) and bottom/top quark mass determination 2002 Phys. Lett. B 538 335 [hep-ph/0204290]
5. s)) accuracy, V 2003 Phys. Rev. Lett. 90 212001 [hep-ph/0210161]
6. A.H. Hoang, Three-loop anomalous dimension of the heavy quark pair production current in non-relativistic QCD 2004 Phys. Rev. D 69 034009 [hep-ph/0307376]
7. s) correction to the pole mass of the T-quark within the standard model 2004 Nucl. Phys. B 676 365 [hep-ph/0308216]
8. M. Faisst, J.H. Kühn, T. Seidensticker and O. Veretin, Three loop top quark contributions to the ρ parameter 2003 Nucl. Phys. B 665 649 [hep-ph/0302275]
9. M. Faisst, J.H. Kühn and O. Veretin, Pole-versus MS-mass definitions in the electroweak theory 2004 Phys. Lett. B 589 35 [hep-ph/0403026]
10. P. Nogueira, Automatic Feynman graph generation 1993 J. Comput. Phys. 105 279
11. s) to the decay of the Z boson into bottom quarks 1998 Phys. Lett. B 426 125 [hep-ph/9712228]
12. T. Seidensticker, Automatic application of successive asymptotic expansions of Feynman diagrams [hep-ph/9905298]
13. J.A.M. Vermaseren, New features of FORM [math-ph/0010025]
14. K.G. Chetyrkin and F.V. Tkachov, Integration by parts: the algorithm to calculate beta functions in 4 loops 1981 Nucl. Phys. B 192 159
15. S. Laporta, High-precision calculation of multi-loop Feynman integrals by difference equations 2000 Int. J. Mod. Phys. A 15 5087 [hep-ph/0102033]
16. C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations 2004 J. High Energy Phys. JHEP07(2004)046 [hep-ph/0404258]
17. Y. Schröder, Automatic reduction of four-loop bubbles 2003 Nucl. Phys. (Proc. Suppl.) 116 402 [hep-ph/0211288]
18. C. Sturm, PhD thesis, Karlsruhe Univ., Germany, June 2005, unpublished
19. 2) contribution 2005 Eur. Phys. J. C 40 361 [hep-ph/0412055]
20. Y. Schröder and M. Steinhauser, Four-loop singlet contribution to the rho parameter 2005 Phys. Lett. B 622 124 [hep-ph/0504055]
21. N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Three loop relation of quark (modified) MS and pole masses 1990 Z. Physik C 48 673
22. J. Fleischer, F. Jegerlehner, O.V. Tarasov and O.L. Veretin, Two-loop QCD corrections of the massive fermion propagator, 1999 Nucl. Phys. B 539 671 [hep-ph/9803493]
23. 3 1999 Phys. Rev. Lett. 83 4001 [hep-ph/9907509]
24. 3 2000 Nucl. Phys. B 573 617 [hep-ph/9911434]
25. K. Melnikov and T. v. Ritbergen, The three-loop relation between the MS-bar and the pole quark masses 2000 Phys. Lett. B 482 99 [hep-ph/9912391]
26. R. Hempfling and B.A. Kniehl, On the relation between the fermion pole mass and MS Yukawa coupling in the standard model 1995 Phys. Rev. D 51 1386 [hep-ph/9408313]
27. B.A. Kniehl, J.H. Piclum and M. Steinhauser, Relation between bottom-quark MS-bar Yukawa coupling and pole mass 2004 Nucl. Phys. B 695 199 [hep-ph/0406254]
28. S.P. Martin, Fermion self-energies and pole masses at two-loop order in a general renormalizable theory with massless gauge bosons 2005 Phys. Rev. D 72 096008 [hep-ph/0509115]
29. J.H. Piclum, Diplomarbeit, University of Hamburg, 2004, unpublished
30. K. Melnikov and T. van Ritbergen, The three-loop on-shell renormalization of QCD and QED 2000 Nucl. Phys. B 591 515 [hep-ph/0005131]
31. A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200 1993 Fortschr. Phys. 41 307-420
32. J. Fleischer and M.Y. Kalmykov, On-SHELL2: form based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the standard model 2000 Comput. Phys. Commun. 128 531 [hep-ph/9907431]
33. A.I. Davydychev and M.Y. Kalmykov, New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams 2001 Nucl. Phys. B 605 266 [hep-th/0012189]
34. V.A. Smirnov, Applied asymptotic expansions in momenta and masses (Springer-Verlag, Berlin)-Heidelberg, 2001
35. M. Steinhauser, MATAD: a program package for the computation of massive tadpoles 2001 Comput. Phys. Commun. 134 335 [hep-ph/0009029]
36. M. Beneke and V.A. Smirnov, Asymptotic expansion of Feynman integrals near threshold 1998 Nucl. Phys. B 522 321 [hep-ph/9711391]
37. V.A. Smirnov and E.R. Rakhmetov, The regional strategy in the asymptotic expansion of two-loop vertex feynman diagrams 1999 Theor. Math. Phys. 120 870 [hep-ph/9812529]