NNLO computational techniques: The cases H → γ γ and H → g g

Nuclear Physics B

Volumn 811, Issue 1-2, 2009, Pages 182-273

  Actis, Stefano ^a   Passarino, Giampiero ^b,c   Sturm, Christian ^d   Uccirati, Sandro ^e  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b UNIVERSITY OF TURIN   (Italy)

^c SEZIONE DI TORINO   (Italy)

^d BROOKHAVEN NATIONAL LABORATORY   (United States)

^e UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Feynman diagrams; Higgs physics; Radiative corrections; Two loop calculations

Indexed keywords

EID: 58149522098     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.11.024     Document Type: Article

References (135)

1. Butenschön M., Fugel F., and Kniehl B.A. Phys. Rev. Lett. 98 (2007) 071602. hep-ph/0612184
2. Butenschön M., Fugel F., and Kniehl B.A. Nucl. Phys. B 772 (2007) 25. hep-ph/0702215
3. Awramik M., Czakon M., Freitas A., and Weiglein G. Phys. Rev. Lett. 93 (2004) 201805. hep-ph/0407317
4. Hollik W., Meier U., and Uccirati S. Nucl. Phys. B 731 (2005) 213. hep-ph/0507158
5. Hollik W., Meier U., and Uccirati S. Phys. Lett. B 632 (2006) 680. hep-ph/0509302
6. Awramik M., Czakon M., and Freitas A. Phys. Lett. B 642 (2006) 563. hep-ph/0605339
7. Awramik M., Czakon M., and Freitas A. JHEP 0611 (2006) 048. hep-ph/0608099
8. Hollik W., Meier U., and Uccirati S. Nucl. Phys. B 765 (2007) 154. hep-ph/0610312
9. Djouadi A., Spira M., and Zerwas P.M. Phys. Lett. B 264 (1991) 440
10. Dawson S. Nucl. Phys. B 359 (1991) 283
11. Graudenz D., Spira M., and Zerwas P.M. Phys. Rev. Lett. 70 (1993) 1372
12. Spira M., Djouadi A., Graudenz D., and Zerwas P.M. Nucl. Phys. B 453 (1995) 17. hep-ph/9504378
13. Harlander R., and Kant P. JHEP 0512 (2005) 015. hep-ph/0509189
14. Anastasiou C., Beerli S., Bucherer S., Daleo A., and Kunszt Z. JHEP 0701 (2007) 082. hep-ph/0611236
15. Aglietti U., Bonciani R., Degrassi G., and Vicini A. JHEP 0701 (2007) 021. hep-ph/0611266
16. Mühlleitner M., and Spira M. Nucl. Phys. B 790 (2008) 1. hep-ph/0612254
17. Harlander R.V. Phys. Lett. B 492 (2000) 74. hep-ph/0007289
18. Catani S., de Florian D., and Grazzini M. JHEP 0105 (2001) 025. hep-ph/0102227
19. Harlander R.V., and Kilgore W.B. Phys. Rev. D 64 (2001) 013015. hep-ph/0102241
20. Harlander R.V., and Kilgore W.B. Phys. Rev. Lett. 88 (2002) 201801. hep-ph/0201206
21. Anastasiou C., and Melnikov K. Nucl. Phys. B 646 (2002) 220. hep-ph/0207004
22. Ravindran V., Smith J., and van Neerven W.L. Nucl. Phys. B 665 (2003) 325. hep-ph/0302135
23. Ravindran V., Smith J., and van Neerven W.L. Nucl. Phys. B (Proc. Suppl.) 135 (2004) 35. hep-ph/0405263
24. Catani S., de Florian D., Grazzini M., and Nason P. JHEP 0307 (2003) 028. hep-ph/0306211
25. Moch S.O., and Vogt A. Phys. Lett. B 631 (2005) 48. hep-ph/0508265
26. Laenen E., and Magnea L. Phys. Lett. B 632 (2006) 270. hep-ph/0508284
27. Ahrens V., Becher T., Neubert M., and Yang L.L. arXiv: 0808.3008 [hep-ph]
28. Catani S., de Florian D., and Grazzini M. JHEP 0201 (2002) 015. hep-ph/0111164
29. Marzani S., Ball R.D., Del Duca V., Forte S., and Vicini A. Nucl. Phys. B 800 (2008) 127. arXiv: 0801.2544 [hep-ph]
30. Anastasiou C., Melnikov K., and Petriello F. Phys. Rev. Lett. 93 (2004) 262002. hep-ph/0409088
31. Anastasiou C., Melnikov K., and Petriello F. Nucl. Phys. B 724 (2005) 197. hep-ph/0501130
32. Catani S., and Grazzini M. Phys. Rev. Lett. 98 (2007) 222002. hep-ph/0703012
33. Catani S., and Grazzini M. PoS (RAD COR 2007) 046. arXiv: 0802.1410 [hep-ph]
34. Anastasiou C., Dissertori G., and Stockli F. JHEP 0709 (2007) 018. arXiv: 0707.2373 [hep-ph]
35. Schreck M., and Steinhauser M. Phys. Lett. B 655 (2007) 148. arXiv: 0708.0916 [hep-ph]
36. Baikov P.A., and Chetyrkin K.G. Phys. Rev. Lett. 97 (2006) 061803. hep-ph/0604194
37. Djouadi A., and Gambino P. Phys. Rev. Lett. 73 (1994) 2528. hep-ph/9406432
38. Djouadi A., Gambino P., and Kniehl B.A. Nucl. Phys. B 523 (1998) 17. hep-ph/9712330
39. Aglietti U., Bonciani R., Degrassi G., and Vicini A. Phys. Lett. B 595 (2004) 432. hep-ph/0404071
40. Aglietti U., Bonciani R., Degrassi G., and Vicini A. Phys. Lett. B 600 (2004) 57. hep-ph/0407162
41. Degrassi G., and Maltoni F. Phys. Lett. B 600 (2004) 255. hep-ph/0407249
42. Aglietti U., Bonciani R., Degrassi G., and Vicini A. Contribution to the workshop TeV4LHC, Brookhaven, USA, 2005. hep-ph/0610033
43. Cranmer K., Mellado B., Quayle W., and Wu S.L. ATL-PHYS-2003-036. hep-ph/0401088
44. M. Pieri, S. Bhattacharya, I. Fisk, J. Letts, V. Litvin, J.G. Branson, CERN-CMS-NOTE-2006-112
45. Carminati L., and for the ATLAS Collaboration. Acta Phys. Pol. B 38 (2007) 747
46. Mönig K., and Rosca A. DESY-06-065. arXiv: 0705.1259 [hep-ph]
47. Zheng H., and Wu D. Phys. Rev. D 42 (1990) 3760
48. Djouadi A., Spira M., van der Bij J.J., and Zerwas P.M. Phys. Lett. B 257 (1991) 187
49. Dawson S., and Kauffman R.P. Phys. Rev. D 47 (1993) 1264
50. Steinhauser M. Contribution to the Ringberg workshop on the Higgs puzzle, Ringberg, Germany, 1996. hep-ph/9612395
51. Melnikov K., and Yakovlev O.I. Phys. Lett. B 312 (1993) 179. hep-ph/9302281
52. Djouadi A., Spira M., and Zerwas P.M. Phys. Lett. B 311 (1993) 255. hep-ph/9305335
53. Inoue M., Najima R., Oka T., and Saito J. Mod. Phys. Lett. A 9 (1994) 1189
54. Fleischer J., Tarasov O.V., and Tarasov V.O. Phys. Lett. B 584 (2004) 294. hep-ph/0401090
55. Liao Y., and Li X. Phys. Lett. B 396 (1997) 225. hep-ph/9605310
56. Fugel F., Kniehl B.A., and Steinhauser M. Nucl. Phys. B 702 (2004) 333. hep-ph/0405232
57. Korner J.G., Melnikov K., and Yakovlev O.I. Phys. Rev. D 53 (1996) 3737. hep-ph/9508334
58. Degrassi G., and Maltoni F. Nucl. Phys. B 724 (2005) 183. hep-ph/0504137
59. Passarino G., Sturm C., and Uccirati S. Phys. Lett. B 655 (2007) 298. arXiv: 0707.1401 [hep-ph]
60. Vermaseren J.A.M. New features of FORM. math-ph/0010025
61. S. Actis, A. Ferroglia, G. Passarino, M. Passera, C. Sturm, S. Uccirati, G raph S hot, a FORM package for automatic generation and manipulation of one- and two-loop Feynman diagrams, unpublished
62. Tkachov F.V. Phys. Lett. B 100 (1981) 65
63. Chetyrkin K.G., and Tkachov F.V. Nucl. Phys. B 192 (1981) 159
64. F.V. Tkachov, New methods for evaluation of multi-loop Feynman diagrams, PhD thesis, INR, Moscow, Russia, 1984
65. Actis S., Ferroglia A., Passera M., and Passarino G. Nucl. Phys. B 777 (2007) 1. hep-ph/0612122
66. Actis S., and Passarino G. Nucl. Phys. B 777 (2007) 35. hep-ph/0612123
67. Actis S., and Passarino G. Nucl. Phys. B 777 (2007) 100. hep-ph/0612124
68. Passarino G. Nucl. Phys. B 619 (2001) 257. hep-ph/0108252
69. Passarino G., and Uccirati S. Nucl. Phys. B 629 (2002) 97. hep-ph/0112004
70. Ferroglia A., Passera M., Passarino G., and Uccirati S. Nucl. Phys. B 680 (2004) 199. hep-ph/0311186
71. Passarino G., and Uccirati S. Nucl. Phys. B 747 (2006) 113. hep-ph/0603121
72. Actis S., Ferroglia A., Passarino G., Passera M., and Uccirati S. Nucl. Phys. B 703 (2004) 3. hep-ph/0402132
73. 't Hooft G., and Veltman M.J.G. Nucl. Phys. B 44 (1972) 189
74. Passarino G., and Veltman M.J.G. Nucl. Phys. B 160 (1979) 151
75. Binoth T. Nucl. Phys. B (Proc. Suppl.) 116 (2003) 387. hep-ph/0211125
76. Jegerlehner F. Eur. Phys. J. C 18 (2001) 673. hep-th/0005255
77. Stuart R.G. Phys. Lett. B 262 (1991) 113
78. Gambino P., and Grassi P.A. Phys. Rev. D 62 (2000) 076002. hep-ph/9907254
79. Lehmann H., Symanzik K., and Zimmermann W. Nuovo Cimento 1 (1955) 205
80. Bialynicki-Birula I. Phys. Rev. D 2 (1970) 2877
81. 't Hooft G., and Veltman M.J.G. Nucl. Phys. B 50 (1972) 318
82. Freitas A., Hollik W., Walter W., and Weiglein G. Nucl. Phys. B 632 (2002) 189. hep-ph/0202131
83. Freitas A., Hollik W., Walter W., and Weiglein G. Nucl. Phys. B 666 (2003) 305 Erratum
84. Denner A., Dittmaier S., Roth M., and Wieders L.H. Nucl. Phys. B 724 (2005) 247. hep-ph/0505042
85. Denner A., and Dittmaier S. Nucl. Phys. B (Proc. Suppl.) 160 (2006) 22. hep-ph/0605312
86. Denner A., Dittmaier S., Roth M., and Wackeroth D. Nucl. Phys. B 560 (1999) 33. hep-ph/9904472
87. Jegerlehner F., and Kalmykov M.Y. Acta Phys. Pol. B 34 (2003) 5335. hep-ph/0310361
88. Jegerlehner F., and Kalmykov M.Y. Nucl. Phys. B 676 (2004) 365. hep-ph/0308216
89. Jegerlehner F., Kalmykov M.Y., and Veretin O. Nucl. Phys. B 658 (2003) 49. hep-ph/0212319
90. Jegerlehner F., Kalmykov M.Y., and Veretin O. Nucl. Phys. B 641 (2002) 285. hep-ph/0105304
91. Denner A., and Hahn T. Nucl. Phys. B 525 (1998) 27. hep-ph/9711302
92. Veltman M.J.G. Physica 29 (1963) 186
93. Ward J.C. Phys. Rev. 78 (1950) 182
94. Slavnov A.A. Theor. Math. Phys. 10 (1972) 99
95. Slavnov A.A. Teor. Mat. Fiz. 10 (1972) 153
96. Taylor J.C. Nucl. Phys. B 33 (1971) 436
97. Veltman M.J.G. Diagrammatica: The Path to Feynman Rules (1994), Cambridge Univ. Press, Cambridge
98. Bardin D.Y., and Passarino G. The Standard Model in the Making: Precision Study of the Electroweak Interactions (1999), Clarendon Press, Oxford
99. Passarino G. Nucl. Phys. B 361 (1991) 351
100. Degrassi G., and Vicini A. Phys. Rev. D 69 (2004) 073007. hep-ph/0307122
101. Green M., and Veltman M.J.G. Nucl. Phys. B 169 (1980) 137
102. Green M., and Veltman M.J.G. Nucl. Phys. B 175 (1980) 547 Erratum
103. Passarino G., and Pittau R. Phys. Lett. B 228 (1989) 89
104. Weiglein G., Scharf R., and Bohm M. Nucl. Phys. B 416 (1994) 606. hep-ph/9310358
105. Caffo M., Czyz H., Laporta S., and Remiddi E. Nuovo Cimento A 111 (1998) 365. hep-th/9805118
106. Davydychev A.I., and Tausk J.B. Nucl. Phys. B 397 (1993) 123
107. NAG Fortran Library, Mark 19. The Numerical Algorithms Group Ltd, Oxford, UK, 1999
108. Landau L.D. Nucl. Phys. 13 (1959) 181
109. Ferroglia A., Passera M., Passarino G., and Uccirati S. Nucl. Phys. B 650 (2003) 162. hep-ph/0209219
110. Kalmykov M.Y., and Sheplyakov A. Comput. Phys. Commun. 172 (2005) 45. hep-ph/0411100
111. Melnikov K., Spira M., and Yakovlev O.I. Z. Phys. C 64 (1994) 401. hep-ph/9405301
112. Kniehl B.A., Palisoc C.P., and Sirlin A. Phys. Rev. D 66 (2002) 057902. hep-ph/0205304
113. Actis S., Passarino G., Sturm C., and Uccirati S. Phys. Lett. B 669 (2008) 62. arXiv: 0809.1302 [hep-ph]
114. Denner A., and Pozzorini S. Eur. Phys. J. C 18 (2001) 461. hep-ph/0010201
115. Denner A., and Pozzorini S. Eur. Phys. J. C 21 (2001) 63. hep-ph/0104127
116. Denner A., Melles M., and Pozzorini S. Nucl. Phys. B 662 (2003) 299. hep-ph/0301241
117. Denner A., Jantzen B., and Pozzorini S. Nucl. Phys. B 761 (2007) 1. hep-ph/0608326
118. Denner A., Jantzen B., and Pozzorini S. arXiv: 0801.2647 [hep-ph]
119. Denner A., Jantzen B., and Pozzorini S. JHEP 0811 (2008) 062. arXiv: 0809.0800 [hep-ph]
120. Laporta S., and Remiddi E. Phys. Lett. B 379 (1996) 283. hep-ph/9602417
121. Laporta S. Int. J. Mod. Phys. A 15 (2000) 5087. hep-ph/0102033
122. Tarasov O.V. Nucl. Instrum. Methods A 534 (2004) 293. hep-ph/0403253
123. Smirnov A.V., and Smirnov V.A. Contribution to the 11th International Workshop on Advanced Physics Research (ACAT 2007), Amsterdam, The Netherlands, 2007. arXiv: 0707.3993 [hep-ph]
124. Goria S., and Passarino G. Nucl. Phys. B (Proc. Suppl.) 183 (2008) 320. arXiv: 0807.0698 [hep-ph]
125. Tkachov F.V. Nucl. Instrum. Methods A 389 (1997) 309. hep-ph/9609429
126. Bertstein L.N. Funct. Anal. Appl. 6 (1972) 66
127. Sato M. Nagoya Math. J. 120 (1990) 1
128. Binoth T., and Heinrich G. Nucl. Phys. B 585 (2000) 741. hep-ph/0004013
129. Amsler C., et al., Particle Data Group. Phys. Lett. B 667 (2008) 1
130. CDF Collaboration, and DØ Collaboration. hep-ex/0703034
131. Actis S., Passarino G., Sturm C., and Uccirati S. Phys. Lett. B 670 (2008) 12. arXiv: 0809.1301 [hep-ph]
132. Uwer P. EasyNData: A Simple tool to extract numerical values from published plots. arXiv: 0710.2896 [physics.comp-ph]
133. Vermaseren J.A.M. Comput. Phys. Commun. 83 (1994) 45
134. Binosi D., and Theussl L. Comput. Phys. Commun. 161 (2004) 76. hep-ph/0309015
135. http://personalpages.to.infn.it/~giampier/add/LongNAB.ps