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Nuclear Physics B
Volumn 554, Issue 1-2, 1999, Pages 391-414
Threshold expansion of the sunset diagram
Author keywords

Feynman integrals; Three particle threshold; Two loop threshold behaviour
Indexed keywords

EID: 0033538777     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00269-2     Document Type: Article
Times cited : (53)
References (87)
  • 2
    • 0000776807 scopus 로고
    • [2] A.I. Davydychev and J.B. Tausk, Nucl. Phys. B 397 (1993) 123; A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 410 (1993) 325; J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278; F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 439 (1995) 536.
    • (1993) Nucl. Phys. B , vol.397 , pp. 123
    • Davydychev, A.I.1    Tausk, J.B.2
  • 3
    • 0001124528 scopus 로고
    • [2] A.I. Davydychev and J.B. Tausk, Nucl. Phys. B 397 (1993) 123; A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 410 (1993) 325; J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278; F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 439 (1995) 536.
    • (1993) Nucl. Phys. B , vol.410 , pp. 325
    • Davydychev, A.I.1    Smirnov, V.A.2    Tausk, J.B.3
  • 4
    • 0000364261 scopus 로고
    • [2] A.I. Davydychev and J.B. Tausk, Nucl. Phys. B 397 (1993) 123; A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 410 (1993) 325; J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278; F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 439 (1995) 536.
    • (1994) Z. Phys. C , vol.64 , pp. 413
    • Fleischer, J.1    Tarasov, O.V.2
  • 5
    • 0011631352 scopus 로고
    • [2] A.I. Davydychev and J.B. Tausk, Nucl. Phys. B 397 (1993) 123; A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 410 (1993) 325; J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278; F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 439 (1995) 536.
    • (1995) Nucl. Phys. B , vol.438 , pp. 278
    • Larin, S.A.1    Van Ritbergen, T.2    Vermaseren, J.A.M.3
  • 6
    • 0001176457 scopus 로고
    • [2] A.I. Davydychev and J.B. Tausk, Nucl. Phys. B 397 (1993) 123; A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 410 (1993) 325; J. Fleischer and O.V. Tarasov, Z. Phys. C 64 (1994) 413; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B 438 (1995) 278; F.A. Berends, A.I. Davydychev, V.A. Smirnov and J.B. Tausk, Nucl. Phys. B 439 (1995) 536.
    • (1995) Nucl. Phys. B , vol.439 , pp. 536
    • Berends, F.A.1    Davydychev, A.I.2    Smirnov, V.A.3    Tausk, J.B.4
  • 8
    • 0030529238 scopus 로고    scopus 로고
    • hep-ph/9606244
    • [3] F.A. Berends, A.I. Davydychev and V.A. Smirnov, Nucl. Phys. B 478 (1996) 59; Nucl. Phys. B (Proc. Suppl.) C 51 (1996) 301 (hep-ph/9606244).
    • (1996) Nucl. Phys. B (Proc. Suppl.) C , vol.51 , pp. 301
  • 9
    • 0000591380 scopus 로고    scopus 로고
    • [4] J. Fleischer, V.A. Smirnov and O.V. Tarasov, Z. Phys. C 74 (1997) 379; J. Fleischer, V.A. Smirnov, A. Frink, J.G. Körner, D. Kreimer, K. Schilcher and J.B. Tausk, Eur. Phys. J. C 2 (1998) 747.
    • (1997) Z. Phys. C , vol.74 , pp. 379
    • Fleischer, J.1    Smirnov, V.A.2    Tarasov, O.V.3
  • 11
    • 0038906027 scopus 로고    scopus 로고
    • [5] A. Czarnecki and V.A. Smirnov, Phys. Lett. B 394 (1997) 211; V.A. Smirnov, Phys. Lett. B 404 (1997) 101; V.A. Smirnov and E.R. Rakhmetov, Teor. Mat. Fiz. 120 (1999) 64.
    • (1997) Phys. Lett. B , vol.394 , pp. 211
    • Czarnecki, A.1    Smirnov, V.A.2
  • 12
    • 0039971910 scopus 로고    scopus 로고
    • [5] A. Czarnecki and V.A. Smirnov, Phys. Lett. B 394 (1997) 211; V.A. Smirnov, Phys. Lett. B 404 (1997) 101; V.A. Smirnov and E.R. Rakhmetov, Teor. Mat. Fiz. 120 (1999) 64.
    • (1997) Phys. Lett. B , vol.404 , pp. 101
    • Smirnov, V.A.1
  • 13
    • 0038906027 scopus 로고    scopus 로고
    • [5] A. Czarnecki and V.A. Smirnov, Phys. Lett. B 394 (1997) 211; V.A. Smirnov, Phys. Lett. B 404 (1997) 101; V.A. Smirnov and E.R. Rakhmetov, Teor. Mat. Fiz. 120 (1999) 64.
    • (1999) Teor. Mat. Fiz. , vol.120 , pp. 64
    • Smirnov, V.A.1    Rakhmetov, E.R.2
  • 14
    • 0010824853 scopus 로고
    • [6] S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE/PTh 13/91 (Munich, 1991); V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Birkhäuser, Basel, 1991).
    • (1989) Nucl. Phys. B , vol.319 , pp. 633
    • Gorishny, S.G.1
  • 15
    • 0010824853 scopus 로고
    • 76 (1988) 207
    • [6] S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE/PTh 13/91 (Munich, 1991); V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Birkhäuser, Basel, 1991).
    • (1988) Teor. Mat. Fiz. , vol.75 , pp. 26
    • Chetyrkin, K.G.1
  • 16
    • 0010824853 scopus 로고
    • preprint MPI-PAE/PTh 13/91 Munich
    • [6] S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE/PTh 13/91 (Munich, 1991); V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Birkhäuser, Basel, 1991).
    • (1991)
  • 17
    • 0001175264 scopus 로고
    • [6] S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE/PTh 13/91 (Munich, 1991); V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Birkhäuser, Basel, 1991).
    • (1990) Commun. Math. Phys. , vol.134 , pp. 109
    • Smirnov, V.A.1
  • 18
    • 0010824853 scopus 로고
    • Birkhäuser, Basel
    • [6] S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; preprint MPI-PAE/PTh 13/91 (Munich, 1991); V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansions (Birkhäuser, Basel, 1991).
    • (1991) Renormalization and Asymptotic Expansions
  • 19
    • 0009130291 scopus 로고
    • preprints INR P-0370, II-459, Moscow
    • [7] G.B. Pivovarov and F.V. Tkachov, preprints INR P-0370, II-459, Moscow, 1984.
    • (1984)
    • Pivovarov, G.B.1    Tkachov, F.V.2
  • 21
    • 0000307950 scopus 로고
    • [9] V.A. Smirnov, Mod. Phys. Lett. A 10 (1995) 1485; Proc. 5th Int. Conf. on Physics Beyond the Standard Model (Balholm, Norway, April-May 1997), AIP, 1997, p. 354 (hep-ph/9708423).
    • (1995) Mod. Phys. Lett. A , vol.10 , pp. 1485
    • Smirnov, V.A.1
  • 22
    • 0009202660 scopus 로고    scopus 로고
    • Balholm, Norway, April-May 1997, AIP, (hep-ph/9708423)
    • [9] V.A. Smirnov, Mod. Phys. Lett. A 10 (1995) 1485; Proc. 5th Int. Conf. on Physics Beyond the Standard Model (Balholm, Norway, April-May 1997), AIP, 1997, p. 354 (hep-ph/9708423).
    • (1997) Proc. 5th Int. Conf. on Physics Beyond the Standard Model , pp. 354
  • 24
    • 0000663583 scopus 로고
    • [11] D.J. Broadhurst, Phys. Lett. B 101 (1981) 423; Z. Phys. C 47 (1990) 115; S.C. Generalis, Doctoral thesis, OUT-4102-13 (Milton Keynes, 1984); A. Djouadi, Nuovo Cim. A 100 (1988) 357; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1981) Phys. Lett. B , vol.101 , pp. 423
    • Broadhurst, D.J.1
  • 25
    • 0000663583 scopus 로고
    • [11] D.J. Broadhurst, Phys. Lett. B 101 (1981) 423; Z. Phys. C 47 (1990) 115; S.C. Generalis, Doctoral thesis, OUT-4102-13 (Milton Keynes, 1984); A. Djouadi, Nuovo Cim. A 100 (1988) 357; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1990) Z. Phys. C , vol.47 , pp. 115
  • 26
    • 0000663583 scopus 로고
    • Doctoral thesis, OUT-4102-13 Milton Keynes
    • [11] D.J. Broadhurst, Phys. Lett. B 101 (1981) 423; Z. Phys. C 47 (1990) 115; S.C. Generalis, Doctoral thesis, OUT-4102-13 (Milton Keynes, 1984); A. Djouadi, Nuovo Cim. A 100 (1988) 357; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1984)
    • Generalis, S.C.1
  • 27
    • 51649151414 scopus 로고
    • [11] D.J. Broadhurst, Phys. Lett. B 101 (1981) 423; Z. Phys. C 47 (1990) 115; S.C. Generalis, Doctoral thesis, OUT-4102-13 (Milton Keynes, 1984); A. Djouadi, Nuovo Cim. A 100 (1988) 357; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1988) Nuovo Cim. A , vol.100 , pp. 357
    • Djouadi, A.1
  • 28
    • 0000643474 scopus 로고
    • [11] D.J. Broadhurst, Phys. Lett. B 101 (1981) 423; Z. Phys. C 47 (1990) 115; S.C. Generalis, Doctoral thesis, OUT-4102-13 (Milton Keynes, 1984); A. Djouadi, Nuovo Cim. A 100 (1988) 357; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1994) Nucl. Phys. B , vol.412 , pp. 523
    • Scharf, R.1    Tausk, J.B.2
  • 29
    • 0009271466 scopus 로고
    • Doctoral thesis Leiden
    • [12] J.B. Tausk, Doctoral thesis (Leiden, 1993); F.A. Berends and J.B. Tausk, Nucl. Phys. B 421 (1994) 456.
    • (1993)
    • Tausk, J.B.1
  • 31
    • 0002289964 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1955) Dan. Mat. Fys. Medd. , vol.29 , Issue.17 , pp. 1
    • Källén, G.1    Sabry, A.2
  • 32
    • 0001133596 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1982) Nucl. Phys. B , vol.202 , pp. 407
    • Chang, T.H.1    Gaemers, K.J.F.2    Van Neerven, W.L.3
  • 33
    • 0002971009 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1990) Nucl. Phys. B , vol.347 , pp. 86
    • Kniehl, B.A.1
  • 34
    • 0042910977 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1991) Phys. Lett. B , vol.254 , pp. 158
    • Kotikov, A.V.1
  • 35
    • 0039587439 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1991) Mod. Phys. Lett. A , vol.6 , pp. 677
  • 36
    • 0003061686 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1993) Z. Phys. C , vol.60 , pp. 287
    • Broadhurst, D.J.1    Fleischer, J.2    Tarasov, O.V.3
  • 37
    • 0542398139 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1993) Phys. Rev. D , vol.48 , pp. 1061
    • Maher, P.N.1    Durand, L.2    Riesselmann, K.3
  • 38
    • 0001559006 scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1994) Teor. Mat. Fiz. , vol.101 , pp. 225
    • Gegelia, D.T.1    Japaridze, G.Sh.2    Turashvili, K.Sh.3
  • 39
    • 0031590214 scopus 로고    scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1997) Nucl. Phys. B , vol.502 , pp. 419
    • Avdeev, L.V.1    Kalmykov, M.Yu.2
  • 40
    • 0033541916 scopus 로고    scopus 로고
    • [13] G. Källén and A. Sabry, Dan. Mat. Fys. Medd. 29, No. 17 (1955) 1; T.H. Chang, K.J.F. Gaemers and W.L. van Neerven, Nucl. Phys. B 202 (1982) 407; B.A. Kniehl, Nucl. Phys. B 347 (1990) 86; A.V. Kotikov, Phys. Lett. B 254 (1991) 158; Mod. Phys. Lett. A 6 (1991) 677; D.J. Broadhurst, J. Fleischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; P.N. Maher, L. Durand and K. Riesselmann, Phys. Rev. D 48 (1993) 1061; D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225; L.V. Avdeev and M.Yu. Kalmykov, Nucl. Phys. B 502 (1997) 419; J. Fleischer, A.V. Kotikov and O.L. Veretin, Nucl. Phys. B 547 (1999) 343.
    • (1999) Nucl. Phys. B , vol.547 , pp. 343
    • Fleischer, J.1    Kotikov, A.V.2    Veretin, O.L.3
  • 43
    • 0009271468 scopus 로고
    • Diploma thesis Würzburg
    • [16] R. Scharf, Diploma thesis (Würzburg, 1991); Doctoral thesis (Würzburg, 1994).
    • (1991)
    • Scharf, R.1
  • 44
    • 0009133122 scopus 로고
    • Doctoral thesis Würzburg
    • [16] R. Scharf, Diploma thesis (Würzburg, 1991); Doctoral thesis (Würzburg, 1994).
    • (1994)
  • 45
    • 0001265846 scopus 로고    scopus 로고
    • [17] D. Kreimer, Phys. Lett. B 273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Lunev, Phys. Rev. D 50 (1994) 7735; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B 436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
    • (1991) Phys. Lett. B , vol.273 , pp. 277
    • Kreimer, D.1
  • 46
    • 0001265846 scopus 로고    scopus 로고
    • KEK preprint 92-213
    • [17] D. Kreimer, Phys. Lett. B 273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Lunev, Phys. Rev. D 50 (1994) 7735; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B 436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
    • Fujimoto, J.1    Shimizu, Y.2    Kato, K.3    Oyanagi, Y.4
  • 47
    • 25344445224 scopus 로고
    • [17] D. Kreimer, Phys. Lett. B 273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Lunev, Phys. Rev. D 50 (1994) 7735; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B 436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
    • (1994) Phys. Rev. D , vol.50 , pp. 7735
    • Lunev, F.A.1
  • 48
    • 0001255317 scopus 로고
    • [17] D. Kreimer, Phys. Lett. B 273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Lunev, Phys. Rev. D 50 (1994) 7735; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B 436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
    • (1995) Nucl. Phys. B , vol.433 , pp. 259
    • Czarnecki, A.1    Kilian, U.2    Kreimer, D.3
  • 49
    • 0002916627 scopus 로고
    • [17] D. Kreimer, Phys. Lett. B 273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Lunev, Phys. Rev. D 50 (1994) 7735; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B 436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
    • (1995) Nucl. Phys. B , vol.436 , pp. 30
    • Ghinculov, A.1    Van Der Bij, J.J.2
  • 50
    • 0002432535 scopus 로고
    • [17] D. Kreimer, Phys. Lett. B 273 (1991) 277; J. Fujimoto, Y. Shimizu, K. Kato and Y. Oyanagi, KEK preprint 92-213; F.A. Lunev, Phys. Rev. D 50 (1994) 7735; A. Czarnecki, U. Kilian and D. Kreimer, Nucl. Phys. B 433 (1995) 259; A. Ghinculov and J.J. van der Bij, Nucl. Phys. B 436 (1995) 30; S. Bauberger and M. Böhm, Nucl. Phys. B 445 (1995) 25.
    • (1995) Nucl. Phys. B , vol.445 , pp. 25
    • Bauberger, S.1    Böhm, M.2
  • 51
    • 0000781288 scopus 로고
    • Diploma thesis Würzburg
    • [18] S. Bauberger, Diploma thesis (Würzburg, 1994); S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B 434 (1995) 383.
    • (1994)
    • Bauberger, S.1
  • 56
    • 0002872832 scopus 로고
    • [22] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159.
    • (1981) Phys. Lett. B , vol.100 , pp. 65
    • Tkachov, F.V.1
  • 60
    • 33745041661 scopus 로고
    • [25] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cimento B 12 (1972) 20; J.F. Ashmore, Lett. Nuovo Cim. 4 (1972) 289; G.M. Cicuta and E. Montaldi, Lett. Nuovo Cim. 4 (1972) 329.
    • (1972) Nucl. Phys. B , vol.44 , pp. 189
    • 'T Hooft, G.1    Veltman, M.2
  • 61
    • 0002672599 scopus 로고
    • [25] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cimento B 12 (1972) 20; J.F. Ashmore, Lett. Nuovo Cim. 4 (1972) 289; G.M. Cicuta and E. Montaldi, Lett. Nuovo Cim. 4 (1972) 329.
    • (1972) Nuovo Cimento B , vol.12 , pp. 20
    • Bollini, C.G.1    Giambiagi, J.J.2
  • 62
    • 33745011779 scopus 로고
    • [25] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cimento B 12 (1972) 20; J.F. Ashmore, Lett. Nuovo Cim. 4 (1972) 289; G.M. Cicuta and E. Montaldi, Lett. Nuovo Cim. 4 (1972) 329.
    • (1972) Lett. Nuovo Cim. , vol.4 , pp. 289
    • Ashmore, J.F.1
  • 63
    • 51249190847 scopus 로고
    • [25] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cimento B 12 (1972) 20; J.F. Ashmore, Lett. Nuovo Cim. 4 (1972) 289; G.M. Cicuta and E. Montaldi, Lett. Nuovo Cim. 4 (1972) 329.
    • (1972) Lett. Nuovo Cim. , vol.4 , pp. 329
    • Cicuta, G.M.1    Montaldi, E.2
  • 64
    • 4243264916 scopus 로고    scopus 로고
    • [26] A. Czarnecki and K. Melnikov, Phys. Rev. Lett. 80 (1998) 2531; M. Beneke, A. Signer and V.A. Smirnov, Phys. Rev. Lett. 80 (1998) 2535.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2531
    • Czarnecki, A.1    Melnikov, K.2
  • 66
    • 0000248819 scopus 로고    scopus 로고
    • [27] O.V. Tarasov, Phys. Rev. D 54 (1996) 6479; Nucl. Phys. B 480 (1996) 397.
    • (1996) Phys. Rev. D , vol.54 , pp. 6479
    • Tarasov, O.V.1
  • 67
    • 0030602135 scopus 로고    scopus 로고
    • [27] O.V. Tarasov, Phys. Rev. D 54 (1996) 6479; Nucl. Phys. B 480 (1996) 397.
    • (1996) Nucl. Phys. B , vol.480 , pp. 397
  • 68
    • 0010807259 scopus 로고
    • [28] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray and K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52 (1995) 4082; A. Czarnecki and K. Melnikov, Nucl. Phys. B 505 (1997) 65; J. Franzkowski and J.B. Tausk, Eur. Phys. J. C 5 (1998) 517; A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59 (1999) 054023.
    • (1990) Z. Phys. C , vol.48 , pp. 673
    • Gray, N.1    Broadhurst, D.J.2    Grafe, W.3    Schilcher, K.4
  • 69
    • 1542501631 scopus 로고
    • [28] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray and K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52 (1995) 4082; A. Czarnecki and K. Melnikov, Nucl. Phys. B 505 (1997) 65; J. Franzkowski and J.B. Tausk, Eur. Phys. J. C 5 (1998) 517; A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59 (1999) 054023.
    • (1991) Z. Phys. C , vol.52 , pp. 111
    • Broadhurst, D.J.1    Gray, N.2    Schilcher, K.3
  • 70
    • 0000733955 scopus 로고
    • [28] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray and K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52 (1995) 4082; A. Czarnecki and K. Melnikov, Nucl. Phys. B 505 (1997) 65; J. Franzkowski and J.B. Tausk, Eur. Phys. J. C 5 (1998) 517; A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59 (1999) 054023.
    • (1995) Phys. Rev. D , vol.52 , pp. 4082
    • Broadhurst, D.J.1    Grozin, A.G.2
  • 71
    • 0031564027 scopus 로고    scopus 로고
    • [28] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray and K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52 (1995) 4082; A. Czarnecki and K. Melnikov, Nucl. Phys. B 505 (1997) 65; J. Franzkowski and J.B. Tausk, Eur. Phys. J. C 5 (1998) 517; A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59 (1999) 054023.
    • (1997) Nucl. Phys. B , vol.505 , pp. 65
    • Czarnecki, A.1    Melnikov, K.2
  • 72
    • 0009212912 scopus 로고    scopus 로고
    • [28] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray and K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52 (1995) 4082; A. Czarnecki and K. Melnikov, Nucl. Phys. B 505 (1997) 65; J. Franzkowski and J.B. Tausk, Eur. Phys. J. C 5 (1998) 517; A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59 (1999) 054023.
    • (1998) Eur. Phys. J. C , vol.5 , pp. 517
    • Franzkowski, J.1    Tausk, J.B.2
  • 73
    • 17144411516 scopus 로고    scopus 로고
    • [28] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48 (1990) 673; D.J. Broadhurst, N. Gray and K. Schilcher, Z. Phys. C 52 (1991) 111; D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52 (1995) 4082; A. Czarnecki and K. Melnikov, Nucl. Phys. B 505 (1997) 65; J. Franzkowski and J.B. Tausk, Eur. Phys. J. C 5 (1998) 517; A.I. Davydychev and A.G. Grozin, Phys. Rev. D 59 (1999) 054023.
    • (1999) Phys. Rev. D , vol.59 , pp. 54023
    • Davydychev, A.I.1    Grozin, A.G.2
  • 75
    • 0001981008 scopus 로고
    • [30] N. Ortner and P. Wagner, Ann. Inst. Henri Poincaré (Phys. Théor.) 63 (1995) 81; A.I. Davydychev and R. Delbourgo, J. Math. Phys. 39 (1998) 4299; J.M. Borwein and D.J. Broadhurst, preprint OUT-4102-76, Milton Keynes, 1998 (hep-th/9811173).
    • (1995) Ann. Inst. Henri Poincaré (Phys. Théor.) , vol.63 , pp. 81
    • Ortner, N.1    Wagner, P.2
  • 76
    • 0032348904 scopus 로고    scopus 로고
    • [30] N. Ortner and P. Wagner, Ann. Inst. Henri Poincaré (Phys. Théor.) 63 (1995) 81; A.I. Davydychev and R. Delbourgo, J. Math. Phys. 39 (1998) 4299; J.M. Borwein and D.J. Broadhurst, preprint OUT-4102-76, Milton Keynes, 1998 (hep-th/9811173).
    • (1998) J. Math. Phys. , vol.39 , pp. 4299
    • Davydychev, A.I.1    Delbourgo, R.2
  • 77
    • 0009210250 scopus 로고    scopus 로고
    • preprint OUT-4102-76, Milton Keynes, (hep-th/9811173)
    • [30] N. Ortner and P. Wagner, Ann. Inst. Henri Poincaré (Phys. Théor.) 63 (1995) 81; A.I. Davydychev and R. Delbourgo, J. Math. Phys. 39 (1998) 4299; J.M. Borwein and D.J. Broadhurst, preprint OUT-4102-76, Milton Keynes, 1998 (hep-th/9811173).
    • (1998)
    • Borwein, J.M.1    Broadhurst, D.J.2
  • 78
    • 0000390638 scopus 로고
    • [31] J.J. van der Bij and M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477; C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. B 387 (1992) 373; V. Borodulin and G. Jikia, Phys. Lett. B 391 (1997) 434; D.J. Broadhurst, Eur. Phys. J. C 8 (1999) 311.
    • (1984) Nucl. Phys. B , vol.231 , pp. 205
    • Van Der Bij, J.J.1    Veltman, M.2
  • 79
    • 0002548595 scopus 로고
    • [31] J.J. van der Bij and M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477; C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. B 387 (1992) 373; V. Borodulin and G. Jikia, Phys. Lett. B 391 (1997) 434; D.J. Broadhurst, Eur. Phys. J. C 8 (1999) 311.
    • (1985) Nucl. Phys. B , vol.259 , pp. 19
    • Hoogeveen, F.1
  • 80
    • 0000513711 scopus 로고
    • [31] J.J. van der Bij and M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477; C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. B 387 (1992) 373; V. Borodulin and G. Jikia, Phys. Lett. B 391 (1997) 434; D.J. Broadhurst, Eur. Phys. J. C 8 (1999) 311.
    • (1987) Nucl. Phys. B , vol.283 , pp. 477
    • Van Der Bij, J.J.1    Hoogeveen, F.2
  • 81
    • 0001040033 scopus 로고
    • [31] J.J. van der Bij and M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477; C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. B 387 (1992) 373; V. Borodulin and G. Jikia, Phys. Lett. B 391 (1997) 434; D.J. Broadhurst, Eur. Phys. J. C 8 (1999) 311.
    • (1992) Nucl. Phys. B , vol.387 , pp. 373
    • Ford, C.1    Jack, I.2    Jones, D.R.T.3
  • 82
    • 0042094679 scopus 로고    scopus 로고
    • [31] J.J. van der Bij and M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477; C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. B 387 (1992) 373; V. Borodulin and G. Jikia, Phys. Lett. B 391 (1997) 434; D.J. Broadhurst, Eur. Phys. J. C 8 (1999) 311.
    • (1997) Phys. Lett. B , vol.391 , pp. 434
    • Borodulin, V.1    Jikia, G.2
  • 83
    • 0000377345 scopus 로고    scopus 로고
    • [31] J.J. van der Bij and M. Veltman, Nucl. Phys. B 231 (1984) 205; F. Hoogeveen, Nucl. Phys. B 259 (1985) 19; J.J. van der Bij and F. Hoogeveen, Nucl. Phys. B 283 (1987) 477; C. Ford, I. Jack and D.R.T. Jones, Nucl. Phys. B 387 (1992) 373; V. Borodulin and G. Jikia, Phys. Lett. B 391 (1997) 434; D.J. Broadhurst, Eur. Phys. J. C 8 (1999) 311.
    • (1999) Eur. Phys. J. C , vol.8 , pp. 311
    • Broadhurst, D.J.1
  • 86
    • 0001186675 scopus 로고
    • [34] B. Almgren, Arkiv för Fysik 38, No. 7 (1968) 161; E. Byckling and K. Kajantie, Particle Kinematics (Wiley, New York, 1973).
    • (1968) Arkiv för Fysik , vol.38 , Issue.7 , pp. 161
    • Almgren, B.1

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