TSIL: A program for the calculation of two-loop self-energy integrals

Computer Physics Communications

Volumn 174, Issue 2, 2006, Pages 133-151

  Martin, Stephen P ^a,b   Robertson, David G ^c  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

^b FERMI NATIONAL ACCELERATOR LABORATORY   (United States)

^c OTTERBEIN UNIVERSITY   (United States)

Author keywords

Dimensional regularization; Feynman integrals; Quantum field theory; Self energy corrections; Two loop integrals

Indexed keywords

ALGORITHMS; COMPUTER PROGRAMMING LANGUAGES; DIFFERENTIAL EQUATIONS;

DIMENSIONAL REGULARIZATION; FEYNMAN INTEGRALS; QUANTUM FIELD THEORY; SELF-ENERGY CORRECTIONS; TWO-LOOP INTEGRALS;

QUANTUM THEORY;

EID: 29144507240     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2005.08.005     Document Type: Article

References (69)

1. O.V. Tarasov Nucl. Phys. B 502 1997 455 hep-ph/9703319 A different algorithm was given in [3]
2. R. Mertig, and R. Scharf Comput. Phys. Comm. 111 1998 265 hep-ph/9801383
3. G. Weiglein, R. Scharf, and M. Bohm Nucl. Phys. B 416 1994 606 hep-ph/9310358
4. S.P. Martin Phys. Rev. D 68 2003 075002 hep-ph/0307101
5. S.P. Martin Phys. Rev. D 70 2004 016005 hep-ph/0312092
6. G. 't Hooft, and M.J. Veltman Nucl. Phys. B 44 1972 189
7. W.A. Bardeen, A.J. Buras, D.W. Duke, and T. Muta Phys. Rev. D 18 1978 3998
8. W. Siegel Phys. Lett. B 84 1979 193
9. D.M. Capper, D.R.T. Jones, and P. van Nieuwenhuizen Nucl. Phys. B 167 1980 479
10. I. Jack Phys. Rev. D 50 1994 5481 hep-ph/9407291
11. U. Nierste, D. Muller, and M. Bohm Z. Phys. C 57 1993 605
12. R. Scharf, and J.B. Tausk Nucl. Phys. B 412 1994 523
13. L. Lewin Polylogarithms and Associated Functions 1981 Elsevier, North-Holland New York A formula useful for fast and accurate numerical calculation of polylogarithms appears as Proposition 1 of H. Cohen, L. Lewin, D. Zagier Exp. Math. 1 1992 25
14. R. Scharf, Würzburg Diploma Thesis, as quoted in [9]
15. J.L. Rosner Ann. Phys. 44 1967 11
16. K.G. Chetyrkin, A.L. Kataev, and F.V. Tkachov Nucl. Phys. B 174 1980 345
17. K.G. Chetyrkin, and F.V. Tkachov Nucl. Phys. B 192 1981 159
18. J. van der Bij, and M.J. Veltman Nucl. Phys. B 231 1984 205
19. A. Djouadi Nuovo Cim. A 100 1988 357
20. D.J. Broadhurst Z. Phys. C 47 1990 115
21. B.A. Kniehl Nucl. Phys. B 347 1990 86
22. F.A. Berends, and J.B. Tausk Nucl. Phys. B 421 1994 456
23. J. Fleischer, A.V. Kotikov, and O.L. Veretin Nucl. Phys. B 547 1999 343 hep-ph/9808242
24. S. Laporta, and E. Remiddi hep-ph/0406160
25. V.A. Smirnov Comm. Math. Phys. 134 1990 109
26. A.I. Davydychev, and J.B. Tausk Nucl. Phys. B 397 1993 123
27. D.J. Broadhurst, J. Fleischer, and O.V. Tarasov Z. Phys. C 60 1993 287 hep-ph/9304303
28. A.I. Davydychev, V.A. Smirnov, and J.B. Tausk Nucl. Phys. B 410 1993 325 hep-ph/9307371
29. F.A. Berends, A.I. Davydychev, V.A. Smirnov, and J.B. Tausk Nucl. Phys. B 439 1995 536 hep-ph/9410232
30. F.A. Berends, A.I. Davydychev, and V.A. Smirnov Nucl. Phys. B 478 1996 59 hep-ph/9602396
31. A. Czarnecki, and V.A. Smirnov Phys. Lett. B 394 1997 211 hep-ph/9608407
32. M. Beneke, and V.A. Smirnov Nucl. Phys. B 522 1998 321 hep-ph/9711391
33. F.A. Berends, A.I. Davydychev, and N.I. Ussyukina Phys. Lett. B 426 1998 95 hep-ph/9712209
34. A.I. Davydychev, and V.A. Smirnov Nucl. Phys. B 554 1999 391 hep-ph/9903328
35. J. Fleischer, M.Y. Kalmykov, and A.V. Kotikov Phys. Lett. B 462 1999 169 hep-ph/9905249
36. M. Caffo, H. Czyz, and E. Remiddi Nucl. Phys. B 581 2000 274 hep-ph/9912501
37. Nucl. Phys. B 611 2001 503 hep-ph/0103014
38. S. Groote, and A.A. Pivovarov Nucl. Phys. B 580 2000 459 hep-ph/0003115
39. F. Jegerlehner, M.Y. Kalmykov, and O. Veretin Nucl. Phys. B 641 2002 285 hep-ph/0105304
40. F. Jegerlehner, M.Y. Kalmykov, and O. Veretin Nucl. Phys. B 658 2003 49 hep-ph/0212319
41. J. Fleischer, F. Jegerlehner, O.V. Tarasov, and O.L. Veretin Nucl. Phys. B 539 1999 671 Erratum Nucl. Phys. B 571 2000 511 hep-ph/9803493
42. F. Jegerlehner, and M.Y. Kalmykov Nucl. Phys. B 676 2004 365 hep-ph/0308216
43. N. Gray, D.J. Broadhurst, W. Grafe, and K. Schilcher Z. Phys. C 48 1990 673
44. A.I. Davydychev, and A.G. Grozin Phys. Rev. D 59 1999 054023 hep-ph/9809589
45. C. Ford, and D.R.T. Jones Phys. Lett. B 274 1992 409
46. C. Ford, I. Jack, and D.R.T. Jones Nucl. Phys. B 387 1992 373 hep-ph/0111190
47. D. Kreimer Phys. Lett. B 273 1991 277
48. F.A. Berends, M. Buza, M. Bohm, and R. Scharf Z. Phys. C 63 1994 227
49. A. Ghinculov, and J.J. van der Bij Nucl. Phys. B 436 1995 30 hep-ph/9405418
50. A. Czarnecki, U. Kilian, and D. Kreimer Nucl. Phys. B 433 1995 259 hep-ph/9405423
51. S. Bauberger Nucl. Phys. B (Proc. Suppl.) 37 1994 95 hep-ph/9406404
52. S. Bauberger, F.A. Berends, M. Bohm, and M. Buza Nucl. Phys. B 434 1995 383 hep-ph/9409388
53. S. Bauberger, and M. Bohm Nucl. Phys. B 445 1995 25 hep-ph/9501201
54. A. Ghinculov, and Y.P. Yao Nucl. Phys. B 516 1998 385 hep-ph/9702266
55. Phys. Rev. D 63 2001 054510 hep-ph/0006314
56. G. Passarino Nucl. Phys. B 619 2001 257 hep-ph/0108252
57. G. Passarino, and S. Uccirati Nucl. Phys. B 629 2002 97 hep-ph/0112004
58. A.V. Kotikov Phys. Lett. B 254 1991 158
59. A.V. Kotikov Phys. Lett. B 254 1991 158 Phys. Lett. B 259 1991 314
60. E. Remiddi Nuovo Cim. A 110 1997 1435 hep-th/9711188
61. M. Caffo, H. Czyz, S. Laporta, and E. Remiddi Nuovo Cim. A 111 1998 365 hep-th/9805118
62. M. Caffo, H. Czyz, S. Laporta, and E. Remiddi Acta Phys. Polon. B 29 1998 2627 hep-th/9807119
63. M. Caffo, H. Czyz, and E. Remiddi Nucl. Phys. B 634 2002 309 hep-ph/0203256
64. M. Caffo, H. Czyz, and E. Remiddi Numerical evaluation of master integrals from differential equations hep-ph/0211178
65. M. Caffo, H. Czyz, A. Grzelinska, and E. Remiddi Nucl. Phys. B 681 2004 230 hep-ph/0312189
66. J.C. Butcher The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods 1987 John Wiley and Sons New York
67. E. Fehlberg NASA Technical Report 1969 NASA TR R-315
68. J.R. Cash, and A.H. Karp ACM Trans. Math. Software 16 1990 222
69. S.P. Martin Strong and Yukawa two-loop contributions to Higgs scalar boson self-energies and pole masses in supersymmetry Phys. Rev. D 71 2005 016012 hep-ph/0405022