AutoDipole – automated generation of dipole subtraction terms. (English) Zbl 1219.81244
Summary: We present an automated generation of the subtraction terms for next-to-leading order QCD calculations in the Catani-Seymour dipole formalism. For a given scattering process with \(n\) external particles our Mathematica package generates all dipole terms, allowing for both massless and massive dipoles. The numerical evaluation of the subtraction terms proceeds with MadGraph, which provides Fortran code for the necessary scattering amplitudes. Checks of the numerical stability are discussed.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T25 | Quantum field theory on lattices |
| 81T80 | Simulation and numerical modelling (quantum field theory) (MSC2010) |
| 81-08 | Computational methods for problems pertaining to quantum theory |
References:
| [1] | Catani, S.; Seymour, M. H., Nuclear Phys. B, 485, 291 (1997) |
| [2] | Catani, S., Nuclear Phys. B, 627, 189 (2002) |
| [3] | Stelzer, T.; Long, W. F., Comput. Phys. Comm., 81, 357 (1994) |
| [4] | Maltoni, F.; Stelzer, T., JHEP, 0302, 027 (2003) |
| [5] | Alwall, J., JHEP, 0709, 028 (2007) |
| [6] | Hagiwara, K.; Murayama, H.; Watanabe, I., Nuclear Phys. B, 367, 257 (1991) |
| [7] | H. Murayama, I. Watanabe, K. Hagiwara, KEK-91-11; H. Murayama, I. Watanabe, K. Hagiwara, KEK-91-11 |
| [8] | Bloch, F.; Nordsieck, A., Phys. Rev., 52, 54 (1937) · Zbl 0017.23504 |
| [9] | Kinoshita, T., J. Math. Phys., 3, 650 (1962) · Zbl 0118.44501 |
| [10] | Lee, T. D.; Nauenberg, M., Phys. Rev., 133, B1549 (1964) |
| [11] | Giele, W. T.; Glover, E. W.N., Phys. Rev. D, 46, 1980 (1992) |
| [12] | Giele, W. T.; Glover, E. W.N.; Kosower, D. A., Nuclear Phys. B, 403, 633 (1993) |
| [13] | Keller, S.; Laenen, E., Phys. Rev. D, 59, 114004 (1999) |
| [14] | Harris, B. W.; Owens, J. F., Phys. Rev. D, 65, 094032 (2002) |
| [15] | Frixione, S.; Kunszt, Z.; Signer, A., Nuclear Phys. B, 467, 399 (1996) |
| [16] | Phaf, L.; Weinzierl, S., JHEP, 0104, 006 (2001) |
| [17] | Hasegawa, K.; Moch, S.; Uwer, P., Nuclear Phys. B Proc. Suppl., 183, 268 (2008) |
| [18] | Hasegawa, K.; Moch, S.; Uwer, P., Nuclear Phys. B Proc. Suppl., 186, 86 (2009) |
| [19] | Gleisberg, T.; Krauss, F., Eur. Phys. J. C Part. Fields, 53, 501 (2008) |
| [20] | Seymour, M. H.; Tevlin, C. (2008) |
| [21] | Frederix, R.; Gehrmann, T.; Greiner, N., JHEP, 0809, 122 (2008) |
| [22] | Czakon, M.; Papadopoulos, C. G.; Worek, M. (2009) |
| [23] | Frederix, R. (2009) |
| [24] | Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W.N., Nuclear Phys. B, 691, 195 (2004) |
| [25] | Weinzierl, S., JHEP, 0303, 062 (2003) |
| [26] | Frixione, S.; Grazzini, M., JHEP, 0506, 010 (2005) |
| [27] | Somogyi, G.; Trocsanyi, Z.; Del Duca, V., JHEP, 0506, 024 (2005) |
| [28] | Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W.N., JHEP, 0509, 056 (2005) |
| [29] | Somogyi, G.; Trocsanyi, Z., JHEP, 0701, 052 (2007) |
| [30] | Somogyi, G.; Trocsanyi, Z.; Del Duca, V., JHEP, 0701, 070 (2007) |
| [31] | Aglietti, U., JHEP, 0809, 107 (2008) |
| [32] | Bolzoni, P., JHEP, 0908, 079 (2009) |
| [33] | Mitov, A.; Moch, S., JHEP, 0705, 001 (2007) |
| [34] | Floratos, E. G.; Kounnas, C.; Lacaze, R., Nuclear Phys. B, 192, 417 (1981) |
| [35] | Dittmaier, S.; Uwer, P.; Weinzierl, S., Phys. Rev. Lett., 98, 262002 (2007) |
| [36] | Dittmaier, S.; Uwer, P.; Weinzierl, S., Eur. Phys. J. C Part. Fields, 59, 625 (2009) |
| [37] | Xu, Z.; Zhang, D. H.; Chang, L., Nuclear Phys. B, 291, 392 (1987) |
| [38] | S. Weinzierl, SACLAY-SPH-T-98-083; S. Weinzierl, SACLAY-SPH-T-98-083 |
| [39] | Schwinn, C.; Weinzierl, S., JHEP, 0505, 006 (2005) |
| [40] | Dittmaier, S.; Kallweit, S.; Uwer, P., Phys. Rev. Lett., 100, 062003 (2008) |
| [41] | or |
| [42] | or |
| [43] | Nagy, Z.; Trocsanyi, Z., Phys. Rev. D, 59, 014020 (1999) |
| [44] | Campbell, J. M.; Ellis, R. K.; Tramontano, F., Phys. Rev. D, 70, 094012 (2004) |
| [45] | Campbell, J. M.; Tramontano, F., Nuclear Phys. B, 726, 109 (2005) · Zbl 1113.81317 |
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