golem95: A numerical program to calculate one-loop tensor integrals with up to six external legs

Computer Physics Communications

Volumn 180, Issue 11, 2009, Pages 2317-2330

  Binoth, T ^a   Guillet, J Ph ^b   Heinrich, G ^c   Pilon, E ^b   Reiter, T ^d  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSITÉ DE SAVOIE   (France)

^c DURHAM UNIVERSITY   (United Kingdom)

^d NIKHEF   (Netherlands)

Author keywords

Hadron colliders; NLO computations; One loop diagrams; QCD

Indexed keywords

ALGEBRAIC EXPRESSION; BASIC BUILDING BLOCK; CATALOGUE IDENTIFIERS; DISTRIBUTED PROGRAM; ELEMENTARY PARTICLE PHYSICS; FORM FACTORS; FOUR-POINT; HADRON COLLIDERS; IRELAND; NEXT-TO-LEADING ORDER CORRECTIONS; NLO COMPUTATIONS; NUMERICAL EVALUATIONS; NUMERICAL PROGRAMS; ONE-LOOP AMPLITUDES; ONE-LOOP DIAGRAMS; OPERATING SYSTEMS; OPTIMISATIONS; PERL PROGRAMMING LANGUAGES; POINT FUNCTIONS; PROGRAMMING LANGUAGE; QCD; RUNNING TIME; SCATTERING AMPLITUDES; SOLUTION METHODS; TEST DATA;

APPROXIMATION THEORY; C (PROGRAMMING LANGUAGE); COMPUTER OPERATING SYSTEMS; CORROSION PREVENTION; ELEMENTARY PARTICLES; LINGUISTICS; PROBLEM ORIENTED LANGUAGES; PROGRAM COMPILERS; RANDOM ACCESS STORAGE; SET THEORY; SOLAR CONCENTRATORS; TENSORS; TEST FACILITIES;

STRUCTURED PROGRAMMING;

EID: 70149099971     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2009.06.024     Document Type: Article

References (49)

1. Bern Z., et al. The NLO multileg working group: summary report (2008). 0803.0494 [hep-ph]
2. van Oldenborgh G.J., and Vermaseren J.A.M. New algorithms for one loop integrals. Z. Phys. C 46 (1990) 425-438
3. Mertig R., Bohm M., and Denner A. FEYN CALC: Computer algebraic calculation of Feynman amplitudes. Comput. Phys. Commun. 64 (1991) 345-359
4. Hahn T., and Perez-Victoria M. Automatized one-loop calculations in four and D dimensions. Comput. Phys. Commun. 118 (1999) 153-165
5. Yuasa F., et al. Automatic computation of cross sections in HEP: Status of GRACE system. Prog. Theor. Phys. Suppl. 138 (2000) 18-23
6. Hahn T. Generating Feynman diagrams and amplitudes with FeynArts 3. Comput. Phys. Commun. 140 (2001) 418-431
7. Binoth T., Guillet J.Ph., Heinrich G., Pilon E., and Schubert C. An algebraic/numerical formalism for one-loop multi-leg amplitudes. JHEP 0510 (2005) 015
8. - to 4 fermion processes: Technical details and further results. Nucl. Phys. B 724 (2005) 247-294
9. Denner A., and Dittmaier S. Reduction schemes for one-loop tensor integrals. Nucl. Phys. B 734 (2006) 62-115
10. Keith Ellis R., Giele W.T., and Zanderighi G. Semi-numerical evaluation of one-loop corrections. Phys. Rev. D 73 (2006) 014027
11. Ossola G., Papadopoulos C.G., and Pittau R. Reducing full one-loop amplitudes to scalar integrals at the integrand level. Nucl. Phys. B 763 (2007) 147-169
12. Binoth T., Guillet J.Ph., and Heinrich G. Algebraic evaluation of rational polynomials in one-loop amplitudes. JHEP 0702 (2007) 013
13. Anastasiou C., Britto R., Feng B., Kunszt Z., and Mastrolia P. Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes. JHEP 0703 (2007) 111
14. Bern Z., Dixon L.J., and Kosower D.A. On-shell methods in perturbative QCD. Ann. Physics 322 (2007) 1587-1634
15. Ellis R.K., Giele W.T., and Kunszt Z. A numerical unitarity formalism for evaluating one-loop amplitudes. JHEP 0803 (2008) 003
16. Kilgore W.B. One-loop integral coefficients from generalized unitarity (2007). 0711.5015 [hep-ph]
17. Britto R., Feng B., and Mastrolia P. Closed-form decomposition of one-loop massive amplitudes. Phys. Rev. D 78 (2008) 025031
18. Britto R., Feng B., and Yang G. Complete one-loop amplitudes with massless propagators. JHEP 0809 (2008) 089
19. Giele W.T., Kunszt Z., and Melnikov K. Full one-loop amplitudes from tree amplitudes. JHEP 0804 (2008) 049
20. Mastrolia P., Ossola G., Papadopoulos C.G., and Pittau R. Optimizing the reduction of one-loop amplitudes. JHEP 0806 (2008) 030
21. Catani S., Gleisberg T., Krauss F., Rodrigo G., and Winter J.-C. From loops to trees by-passing Feynman's theorem (2008). 0804.3170 [hep-ph]
22. Ellis R.K., Giele W.T., Kunszt Z., and Melnikov K. Masses, fermions and generalized D-dimensional unitarity (2008). 0806.3467 [hep-ph]
23. Glover E.W.N., Mastrolia P., and Williams C. One-loop phi-MHV amplitudes using the unitarity bootstrap: The general helicity case. JHEP 0808 (2008) 017
24. Hahn T., and Illana J.I. Excursions into FeynArts and FormCalc. Nucl. Phys. (Proc. Suppl.) 160 (2006) 101-105
25. Hahn T., and Rauch M. News from FormCalc and LoopTools. Nucl. Phys. (Proc. Suppl.) 157 (2006) 236-240
26. Ossola G., Papadopoulos C.G., and Pittau R. CutTools: A program implementing the OPP reduction method to compute one-loop amplitudes. JHEP 0803 (2008) 042
27. Berger C.F., et al. An automated implementation of on-shell methods for one-loop amplitudes. Phys. Rev. D 78 (2008) 036003
28. Giele W.T., and Zanderighi G. On the numerical evaluation of one-loop amplitudes: The gluonic case (2008). 0805.2152 [hep-ph]
29. Gleisberg T., and Krauss F. Automating dipole subtraction for QCD NLO calculations. Eur. Phys. J. C 53 (2008) 501-523
30. Seymour M.H., and Tevlin C. TeVJet: A general framework for the calculation of jet observables in NLO QCD (2008). 0803.2231 [hep-ph]
31. Hasegawa K., Moch S., and Uwer P. Automating dipole subtraction (2008). 0807.3701 [hep-ph]
32. Frederix R., Gehrmann T., and Greiner N. Automation of the dipole subtraction method in MadGraph/MadEvent (2008). 0808.2128 [hep-ph]
33. Ellis R.K., and Zanderighi G. Scalar one-loop integrals for QCD. JHEP 0802 (2008) 002
34. Bern Z., Dixon L.J., and Kosower D.A. Dimensionally regulated pentagon integrals. Nucl. Phys. B 412 (1994) 751-816
35. Davydychev A.I. A simple formula for reducing Feynman diagrams to scalar integrals. Phys. Lett. B 263 (1991) 107-111
36. Tarasov O.V. Connection between Feynman integrals having different values of the space-time dimension. Phys. Rev. D 54 (1996) 6479-6490
37. Bern Z., Dixon L.J., and Kosower D.A. Dimensionally regulated one loop integrals. Phys. Lett. B 302 (1993) 299-308
38. Binoth T., Guillet J.P., and Heinrich G. Reduction formalism for dimensionally regulated one-loop N-point integrals. Nucl. Phys, B 572 (2000) 361-386
39. http://www.xs4all.nl/~rfsber/robo/robodoc.html
40. Kleiss R., Stirling W.J., and Ellis S.D. A new Monte Carlo treatment of multiparticle phase space at high energies. Comput. Phys. Commun. 40 (1986) 359
41. Binoth T., Glover E.W.N., Marquard P., and van der Bij J.J. Two-loop corrections to light-by-light scattering in supersymmetric QED. JHEP 0205 (2002) 060
42. Bernicot C. Light-light amplitude from generalized unitarity in massive QED (2008). 0804.0749 [hep-ph]
43. Binoth T., Guillet J.P., and Mahmoudi F. A compact representation of the gamma gamma g g g to 0 amplitude. JHEP 0402 (2004) 057
44. Eden R.J., Landshoff P.V., Olive D.I., and Polkinghorne J.C. The Analytic S-Matrix (1966), Cambridge University Press
45. Nagy Z., and Soper D.E. Numerical integration of one-loop Feynman diagrams for N-photon amplitudes. Phys. Rev. D 74 (2006) 093006
46. Duplancic G., and Nizic B. Reduction method for dimensionally regulated one-loop N-point Feynman integrals. Eur. Phys. J. C 35 (2004) 105-118
47. Bernicot C., and Guillet J.Ph. Six-photon amplitudes in scalar QED. JHEP 0801 (2008) 059
48. Binoth T., Heinrich G., and Kauer N. A numerical evaluation of the scalar hexagon integral in the physical region. Nucl. Phys. B 654 (2003) 277-300
49. Press W.H., Teukolsky S.A., Vetterlin W.T., and Flannery B.P. Numerical Recipes (2007), 3rd edition, Cambridge University Press