Orthogonal multiplet bases in SU(Nc) color space

Journal of High Energy Physics

Volumn 2012, Issue 9, 2012, Pages

  Keppeler, Stefan ^a   Sjödahl, Malin ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b LUND UNIVERSITY   (Sweden)

Author keywords

NLO computations; QCD phenomenology

Indexed keywords

EID: 84928550086     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP09(2012)124     Document Type: Article

References (40)

1. D. Zeppenfeld, Diagonalization of color factors, Int. J. Mod. Phys. A 3 (1988) 2175 INSPIRE
2. V. Del Duca, L.J. Dixon and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level, Nucl. Phys. B 571 (2000) 51 hep-ph/9910563. INSPIRE
3. Y. Dokshitzer and G. Marchesini, Soft gluons at large angles in hadron collisions, JHEP 01 (2006) 007 hep-ph/0509078. INSPIRE
4. A. Kyrieleis and M. Seymour, The colour evolution of the process qq®qqg, JHEP 01 (2006) 085 hep-ph/0510089. INSPIRE
5. M. Sjodahl, Color evolution of 2®3 processes, JHEP 12 (2008) 083 arXiv:0807.0555. INSPIRE
6. J.E. Paton and H.-M. Chan, Generalized Veneziano model with isospin, Nucl. Phys. B 10 (1969) 516 INSPIRE
7. P. Dittner, Invariant tensors in SU(3). II, Commun. Math. Phys. 27 (1972) 44 INSPIRE
8. P. Cvitanović, Group theory for Feynman diagrams in non-Abelian gauge theories, Phys. Rev. D 14 (1976) 1536 INSPIRE
9. P. Cvitanović, P. Lauwers and P. Scharbach, Gauge invariance structure of quantum chromodynamics, Nucl. Phys. B 186 (1981) 165 INSPIRE
10. M.L. Mangano, S.J. Parke and Z. Xu, Duality and multi-gluon scattering, Nucl. Phys. B 298 (1988) 653 INSPIRE
11. M.L. Mangano, The color structure of gluon emission, Nucl. Phys. B 309 (1988) 461 INSPIRE
12. Z. Nagy and D.E. Soper, Parton showers with quantum interference, JHEP 09 (2007) 114 arXiv:0706.0017. INSPIRE
13. S. Platzer and M. Sjodahl, Subleading Nc improved parton showers, JHEP 07 (2012) 042 arXiv:1201.0260. INSPIRE
14. M. Sjodahl, Color structure for soft gluon resummation - a general recipe, JHEP 09 (2009) 087 arXiv:0906.1121. INSPIRE
15. F. Caravaglios, M.L. Mangano, M. Moretti and R. Pittau, A new approach to multijet calculations in hadron collisions, Nucl. Phys. B 539 (1999) 215 hep-ph/9807570. INSPIRE
16. F. Maltoni, K. Paul, T. Stelzer and S. Willenbrock, Color flow decomposition of QCD amplitudes, Phys. Rev. D 67 (2003) 014026 hep-ph/0209271. INSPIRE
17. C.G. Papadopoulos and M. Worek, Multi-parton cross sections at hadron colliders, Eur. Phys. J. C 50 (2007) 843 hep-ph/0512150. INSPIRE
18. C. Duhr, S. Hoeche and F. Maltoni, Color-dressed recursive relations for multi-parton amplitudes, JHEP 08 (2006) 062 hep-ph/0607057. INSPIRE
19. W. Giele, Z. Kunszt and J. Winter, Efficient color-dressed calculation of virtual corrections, Nucl. Phys. B 840 (2010) 214 arXiv:0911.1962. INSPIRE
20. A. van Hameren, C. Papadopoulos and R. Pittau, Automated one-loop calculations: a proof of concept, JHEP 09 (2009) 106 arXiv:0903.4665. INSPIRE
21. M.G. Sotiropoulos and G.F. Sterman, Color exchange in near forward hard elastic scattering, Nucl. Phys. B 419 (1994) 59 hep-ph/9310279. INSPIRE
22. N. Kidonakis, G. Oderda and G.F. Sterman, Evolution of color exchange in QCD hard scattering, Nucl. Phys. B 531 (1998) 365 hep-ph/9803241. INSPIRE
23. M. Beneke, P. Falgari and C. Schwinn, Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension, Nucl. Phys. B 828 (2010) 69 arXiv:0907.1443. INSPIRE
24. P. Cvitanović, Group Theory: Birdtracks, Lie's, and Exceptional Groups. Princeton University Press (2008) http://www.birdtracks.eu/
25. W. Lang, private communication; see also The On-Line Encyclopedia of Integer Sequences (2010) http://oeis.org/A000255
26. S.J. Parke and T. Taylor, An amplitude for n gluon scattering, Phys. Rev. Lett. 56 (1986) 2459 INSPIRE
27. R. Kleiss and H. Kuijf, Multi-gluon cross-sections and five jet production at hadron colliders, Nucl. Phys. B 312 (1989) 616 INSPIRE
28. F.A. Berends and W. Giele, Recursive calculations for processes with n gluons, Nucl. Phys. B 306 (1988) 759 INSPIRE
29. F. Cachazo, P. Svrček and E. Witten, MHV vertices and tree amplitudes in gauge theory, JHEP 09 (2004) 006hep-th/0403047. INSPIRE
30. R. Britto, F. Cachazo and B. Feng, New recursion relations for tree amplitudes of gluons, Nucl. Phys. B 715 (2005) 499hep-th/0412308. INSPIRE
31. Z. Bern, J. Carrasco and H. Johansson, New relations for gauge-theory amplitudes, Phys. Rev. D 78 (2008) 085011 arXiv:0805.3993. INSPIRE
32. N. Bjerrum-Bohr, P.H. Damgaard, B. Feng and T. Sondergaard, Gravity and Yang-Mills amplitude relations, Phys. Rev. D 82 (2010) 107702 arXiv:1005.4367. INSPIRE
33. N. Bjerrum-Bohr, P.H. Damgaard, B. Feng and T. Sondergaard, New identities among gauge theory amplitudes, Phys. Lett. B 691 (2010) 268 arXiv:1006.3214. INSPIRE
34. M. Hamermesh, Group Theory and its Application to Physical Problems. Addison-Wesley (1962).
35. A. MacFarlane, A. Sudbery and P. Weisz, On Gell-Mann's l-matrices, d- and f-tensors, octets and parametrizations of SU(3), Commun. Math. Phys. 11 (1968) 77 INSPIRE
36. P. Cvitanović, Group Theory | Classics Illustrated | part I. Nordita, Copenhagen (1984).
37. G. Oderda, Dijet rapidity gaps in photoproduction from perturbative QCD, Phys. Rev. D 61 (2000) 014004hep-ph/9903240. INSPIRE
38. D.E. Littlewood, The Theory of Group Characters, Oxford University Press, 2nd ed. (1950).
39. S. Keppeler and M. Sjodahl, in preparation.
40. P. Dittner, Invariant tensors in SU(3), Commun. Math. Phys. 22 (1971) 238 INSPIRE