메뉴 건너뛰기




Volumn 478, Issue 1-2, 1996, Pages 59-89

Small-threshold behaviour of two-loop self-energy diagrams: Two-particle thresholds

Author keywords

Feynman integrals; Large mass expansion; Self energies; Threshold behaviour; Two loop diagrams; Two particle thresholds

Indexed keywords


EID: 0030604989     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00333-1     Document Type: Article
Times cited : (46)

References (55)
  • 3
    • 0000283167 scopus 로고
    • [2] G. Weiglein, R. Scharf and M. Böhm, Nucl. Phys. B 416 (1994) 606; D. Kreimer, Mod. Phys. Lett. A 9 (1994) 1105.
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 1105
    • Kreimer, D.1
  • 4
    • 0011617051 scopus 로고
    • Diploma Thesis, Würzburg
    • [3] R. Scharf, Diploma Thesis, Würzburg (1991); Doctoral Thesis, Würzburg (1994).
    • (1991)
    • Scharf, R.1
  • 5
    • 0011563135 scopus 로고
    • Doctoral Thesis, Würzburg
    • [3] R. Scharf, Diploma Thesis, Würzburg (1991); Doctoral Thesis, Würzburg (1994).
    • (1994)
  • 13
    • 0002432535 scopus 로고
    • [10] S. Bauberger, F.A. Berends, M. Böhm and M. Buza, Nucl. Phys. B 434 (1995) 383; 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
  • 15
    • 0004155166 scopus 로고
    • Moscow preprint
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1984) INR P-358
    • Tkachov, F.V.1
  • 16
    • 0004165447 scopus 로고
    • Moscow preprints
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1984) INR P-0370, II-459
    • Pivovarov, G.B.1    Tkachov, F.V.2
  • 17
    • 0001957105 scopus 로고
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1988) Teor. Mat. Fiz. , vol.75 , pp. 26
    • Chetyrkin, K.G.1
  • 18
    • 0000129868 scopus 로고
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1988) Teor. Mat. Fiz. , vol.76 , pp. 207
  • 19
    • 0003571485 scopus 로고
    • Munich preprint
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1991) MPI-PAE/PTh 13/91
  • 20
    • 0010824853 scopus 로고
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1989) Nucl. Phys. B , vol.319 , pp. 633
    • Gorishny, S.G.1
  • 21
    • 0001175264 scopus 로고
    • [12] F.V. Tkachov, Moscow preprint INR P-358 (1984); G.B. Pivovarov and F.V. Tkachov, Moscow preprints INR P-0370, II-459 (1984); K.G. Chetyrkin, Teor. Mat. Fiz. 75 (1988) 26; 76 (1988) 207; Munich preprint MPI-PAE/PTh 13/91 (1991); S.G. Gorishny, Nucl. Phys. B 319 (1989) 633; V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109.
    • (1990) Commun. Math. Phys. , vol.134 , pp. 109
    • Smirnov, V.A.1
  • 23
    • 0000307950 scopus 로고
    • [13] V.A. Smirnov, Renormalization and asymptotic expansions (Birkhäuser, Basel, 1991); Mod. Phys. Lett. A 10 (1995) 1485.
    • (1995) Mod. Phys. Lett. A , vol.10 , pp. 1485
  • 24
    • 0001223753 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1993) Phys. Lett. B , vol.305 , pp. 285
    • Chetyrkin, K.G.1    Kwiatkowski, A.2
  • 25
    • 0040857279 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1993) Phys. Lett. B , vol.319 , pp. 307
  • 26
    • 0000850380 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1993) Phys. Lett. B , vol.307 , pp. 169
    • Chetyrkin, K.G.1
  • 27
    • 6244259174 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1994) Phys. Lett. B , vol.320 , pp. 159
    • Larin, S.A.1    Van Ritbergen, T.2    Vermaseren, J.A.M.3
  • 28
    • 0011631351 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1995) Phys. Lett. B , vol.362 , pp. 134
  • 29
    • 0011631352 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1995) Nucl. Phys. B , vol.438 , pp. 278
  • 30
    • 0000798263 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1994) Phys. Lett. B , vol.327 , pp. 114
    • Chetyrkin, K.G.1    Tarasov, O.V.2
  • 31
    • 4243575890 scopus 로고
    • [14] K.G. Chetyrkin and A. Kwiatkowski, Phys. Lett. B 305 (1993) 285; B 319 (1993) 307; K.G. Chetyrkin, Phys. Lett. B 307 (1993) 169; S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Phys. Lett. B 320 (1994) 159; B 362 (1995) 134; Nucl. Phys. B 438 (1995) 278; K.G. Chetyrkin and O.V. Tarasov, Phys. Lett. B 327 (1994) 114; K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, Phys. Rev. Lett. 75 (1995) 3394.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3394
    • Chetyrkin, K.G.1    Kühn, J.H.2    Steinhauser, M.3
  • 36
    • 34249959481 scopus 로고
    • [19] D.J. Broadhurst, Z. Phys. C 47 (1990) 115; D.J. Broadhurst, J. Heischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1990) Z. Phys. C , vol.47 , pp. 115
    • Broadhurst, D.J.1
  • 37
    • 0003061686 scopus 로고
    • [19] D.J. Broadhurst, Z. Phys. C 47 (1990) 115; D.J. Broadhurst, J. Heischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; R. Scharf and J.B. Tausk, Nucl. Phys. B 412 (1994) 523.
    • (1993) Z. Phys. C , vol.60 , pp. 287
    • Broadhurst, D.J.1    Heischer, J.2    Tarasov, O.V.3
  • 38
    • 0000643474 scopus 로고
    • [19] D.J. Broadhurst, Z. Phys. C 47 (1990) 115; D.J. Broadhurst, J. Heischer and O.V. Tarasov, Z. Phys. C 60 (1993) 287; 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
  • 40
    • 18044362306 scopus 로고
    • [20] D.T. Gegelia, G.Sh. Japaridze and K.Sh. Turashvili, Teor. Mat. Fiz. 101 (1994) 225 [Theor. Math. Phys. 101 (1994) 1313].
    • (1994) Theor. Math. Phys. , vol.101 , pp. 1313
  • 41
    • 33745041661 scopus 로고
    • [21 ] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; C.G. Bollini and J.J. Giambiagi, Nuovo Cimento 12B (1972) 20.
    • (1972) Nucl. Phys. B , vol.44 , pp. 189
    • 'T Hooft, G.1    Veltman, M.2
  • 43
    • 0003685270 scopus 로고
    • RAND publication CP 78 (Santa Monica)
    • [22] A.C. Hearn, REDUCE user's manual, RAND publication CP 78 (Santa Monica, 1987).
    • (1987) REDUCE User's Manual
    • Hearn, A.C.1
  • 46
    • 0002941316 scopus 로고
    • [25] E.E. Boos and A.I. Davydychev, Teor. Mat. Fiz. 89 (1991) 56 [Theor. Math. Phys. 89 (1991) 1052]; A.I. Davydychev, J. Math. Phys. 32 (1991) 1052; 33 (1992) 358.
    • (1991) Teor. Mat. Fiz. , vol.89 , pp. 56
    • Boos, E.E.1    Davydychev, A.I.2
  • 47
    • 33749008637 scopus 로고
    • [25] E.E. Boos and A.I. Davydychev, Teor. Mat. Fiz. 89 (1991) 56 [Theor. Math. Phys. 89 (1991) 1052]; A.I. Davydychev, J. Math. Phys. 32 (1991) 1052; 33 (1992) 358.
    • (1991) Theor. Math. Phys. , vol.89 , pp. 1052
  • 48
    • 0000376645 scopus 로고
    • [25] E.E. Boos and A.I. Davydychev, Teor. Mat. Fiz. 89 (1991) 56 [Theor. Math. Phys. 89 (1991) 1052]; A.I. Davydychev, J. Math. Phys. 32 (1991) 1052; 33 (1992) 358.
    • (1991) J. Math. Phys. , vol.32 , pp. 1052
    • Davydychev, A.I.1
  • 49
    • 34748819382 scopus 로고
    • [25] E.E. Boos and A.I. Davydychev, Teor. Mat. Fiz. 89 (1991) 56 [Theor. Math. Phys. 89 (1991) 1052]; A.I. Davydychev, J. Math. Phys. 32 (1991) 1052; 33 (1992) 358.
    • (1992) J. Math. Phys. , vol.33 , pp. 358
  • 50
    • 0002872832 scopus 로고
    • [26] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159; F.V. Tkachov, Teor. Mat. Fiz. 56 (1983) 350.
    • (1981) Phys. Lett. B , vol.100 , pp. 65
    • Tkachov, F.V.1
  • 51
    • 0000312317 scopus 로고
    • [26] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159; F.V. Tkachov, Teor. Mat. Fiz. 56 (1983) 350.
    • (1981) Nucl. Phys. B , vol.192 , pp. 159
    • Chetyrkin, K.G.1    Tkachov, F.V.2
  • 52
    • 0002872832 scopus 로고
    • [26] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159; F.V. Tkachov, Teor. Mat. Fiz. 56 (1983) 350.
    • (1983) Teor. Mat. Fiz. , vol.56 , pp. 350
    • Tkachov, F.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.