메뉴 건너뛰기




Volumn 128, Issue 3, 2000, Pages 531-549

ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the standard model

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; INTEGRATION; MATHEMATICAL MODELS; QUANTUM THEORY;

EID: 0034205201     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(99)00532-9     Document Type: Article
Times cited : (53)

References (53)
  • 2
    • 0007088980 scopus 로고
    • Moscow
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1984) Rep. No. INR P-0332
    • Tkachov, F.V.1
  • 3
    • 0007137206 scopus 로고
    • Moscow
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1984) Rep. No. INR P-0358
  • 4
    • 0001597255 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1993) Int. J. Mod. Phys. A , vol.8 , pp. 2047
  • 5
    • 0007087691 scopus 로고
    • Dubna
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1986) Rep. No. JINR E2-86-176, E2-86-177
    • Gorishny, S.G.1
  • 6
    • 0010824853 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1989) Nucl. Phys. B , vol.319 , pp. 633
  • 7
    • 0007149205 scopus 로고
    • Moscow
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1987) Rep. No. INR P-0518
    • Chetyrkin, K.G.1    Smirnov, V.A.2
  • 8
    • 0011677652 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1987) Nucl. Phys. B , vol.283 , pp. 452
    • Gorishny, S.G.1    Larin, S.A.2
  • 9
    • 0001957106 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1988) Teor. Math. Phys. , vol.75 , pp. 26
    • Chetyrkin, K.G.1
  • 10
    • 0012443344 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1988) Teor. Math. Phys. , vol.76 , pp. 207
  • 11
    • 85031569155 scopus 로고
    • Munich
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1991) Rep. No. MPI-PAE/PTh-13/91
  • 12
    • 0001724598 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1988) Mod. Phys. Lett. A , vol.3 , pp. 381
    • Smirnov, V.A.1
  • 13
    • 0001175264 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1990) Comm. Math. Phys. , vol.134 , pp. 109
  • 14
    • 0000822350 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1993) Int. J. Mod. Phys. A , vol.8 , pp. 2241
    • Pivovarov, G.B.1    Tkachov, F.V.2
  • 15
    • 0011631352 scopus 로고
    • F.V. Tkachov, Rep. No. INR P-0332 (Moscow, 1984); Rep. No. INR P-0358 (Moscow, 1984); Int. J. Mod. Phys. A 8 (1993) 2047; S.G. Gorishny, Rep. No. JINR E2-86-176, E2-86-177 (Dubna, 1986); Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, V.A. Smirnov, Rep. No. INR P-0518 (Moscow, 1987); S.G. Gorishny, S.A. Larin, Nucl. Phys. B 283 (1987) 452; K.G. Chetyrkin, Teor. Math. Phys. 75 (1988) 26; Teor. Math. Phys. 76 (1988) 207; Rep. No. MPI-PAE/PTh-13/91 (Munich, 1991); V.A. Smirnov, Mod. Phys. Lett. A 3 (1988) 381; Comm. Math. Phys. 134 (1990) 109; G.B. Pivovarov, F.V. Tkachov, Int. J. Mod. Phys. A 8 (1993) 2241; S.A. Larin, T. van Ritbergen, J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278.
    • (1995) Nucl. Phys. B , vol.438 , pp. 278
    • Larin, S.A.1    Van Ritbergen, T.2    Vermaseren, J.A.M.3
  • 16
    • 0000390638 scopus 로고
    • J. van der Bij, M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J. van der Bij, F. Hoogeveen, Nucl. Phys. B 283 (1987) 477.
    • (1984) Nucl. Phys. B , vol.231 , pp. 205
    • Van Der Bij, J.1    Veltman, M.2
  • 17
    • 0002548595 scopus 로고
    • J. van der Bij, M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J. van der Bij, F. Hoogeveen, Nucl. Phys. B 283 (1987) 477.
    • (1985) Nucl. Phys. B , vol.259 , pp. 19
    • Hoogeveen, F.1
  • 18
    • 0000513711 scopus 로고
    • J. van der Bij, M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J. van der Bij, F. Hoogeveen, Nucl. Phys. B 283 (1987) 477.
    • (1987) Nucl. Phys. B , vol.283 , pp. 477
    • Van Der Bij, J.1    Hoogeveen, F.2
  • 19
  • 20
    • 1542501631 scopus 로고
    • N. Gray, D.J. Broadhurst, W. Grafe, K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray, K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst, Z. Phys. C 54 (1992) 599.
    • (1991) Z. Phys. C , vol.52 , pp. 111
    • Broadhurst, D.J.1    Gray, N.2    Schilcher, K.3
  • 21
    • 0010806732 scopus 로고
    • N. Gray, D.J. Broadhurst, W. Grafe, K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray, K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst, Z. Phys. C 54 (1992) 599.
    • (1992) Z. Phys. C , vol.54 , pp. 599
    • Broadhurst, D.J.1
  • 27
    • 0031357967 scopus 로고    scopus 로고
    • L.V. Avdeev, J. Fleischer, M.Yu. Kalmykov, M.N. Tentyukov, Nucl. Inst. Meth. A 389 (1997) 343; Comput. Phys. Commun. 107 (1997) 155.
    • (1997) Comput. Phys. Commun. , vol.107 , pp. 155
  • 29
    • 0038906028 scopus 로고    scopus 로고
    • V.A. Smirnov, Phys. Lett. B 394 (1997) 205; A. Czarnecki, V.A. Smirnov, Phys. Lett. B 394 (1997) 211.
    • (1997) Phys. Lett. B , vol.394 , pp. 205
    • Smirnov, V.A.1
  • 38
    • 0002872832 scopus 로고
    • F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin, F.V. Tkachov, Nucl. Phys. B 192 (1981) 159.
    • (1981) Phys. Lett. B , vol.100 , pp. 65
    • Tkachov, F.V.1
  • 40
    • 0024737345 scopus 로고
    • L.R. Surguladze, F.V. Tkachov, Comput. Phys. Commun. 55 (1989) 205; S.G. Gorishnii, S.A. Larin, L.R. Surguladze, F.V. Tkachov, Comput. Phys. Commun. 55 (1989) 381; S.A. Larin, F.V. Tkachov, J.A.M. Vermaseren, Rep. No. NIKHEF-H/91-18 (Amsterdam, 1991).
    • (1989) Comput. Phys. Commun. , vol.55 , pp. 205
    • Surguladze, L.R.1    Tkachov, F.V.2
  • 42
    • 0004088319 scopus 로고
    • Amsterdam
    • L.R. Surguladze, F.V. Tkachov, Comput. Phys. Commun. 55 (1989) 205; S.G. Gorishnii, S.A. Larin, L.R. Surguladze, F.V. Tkachov, Comput. Phys. Commun. 55 (1989) 381; S.A. Larin, F.V. Tkachov, J.A.M. Vermaseren, Rep. No. NIKHEF-H/91-18 (Amsterdam, 1991).
    • (1991) Rep. No. NIKHEF-H/91-18
    • Larin, S.A.1    Tkachov, F.V.2    Vermaseren, J.A.M.3
  • 45
    • 0542448411 scopus 로고
    • A.V. Kotikov, Phys. Lett. B 254 (1991) 158; B 259 (1991) 314.
    • (1991) Phys. Lett. B , vol.259 , pp. 314
  • 47
    • 0003127191 scopus 로고
    • B. Denby, D. Perret-Gallix (Eds.) (World Scientific, Singapore), (hep-ph/9505277)
    • O.V. Tarasov, in: New Computing Techniques in Physics Research IV, B. Denby, D. Perret-Gallix (Eds.) (World Scientific, Singapore, 1995), p. 161 (hep-ph/9505277).
    • (1995) New Computing Techniques in Physics Research , vol.4 , pp. 161
    • Tarasov, O.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.