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Manuscript Title: Numerical evaluation of multi-gluon amplitudes for High Energy Factorization | ||

Authors: M. Bury, A. van Hameren | ||

Program title: AMP4HEF | ||

Catalogue identifier: AEXF_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 196(2015)592 | ||

Programming language: Fortran 2003, implemented at least as far as in gfortran-
4.6. | ||

Computer: Any computer with the required Fortran compiler. | ||

Operating system: Any operating system with the required Fortran compiler. | ||

RAM: Negligible | ||

Keywords: QCD, amplitudes, Off-shell. | ||

Classification: 11.1. | ||

Nature of problem:The numerical evaluation of matrix elements applicable in factorization prescriptions for the cross section calculation of hadron scattering processes that require off-shell partonic initial states. | ||

Solution method:The generalization of the recursiveprocessrequest.pl method of Britto, Cachazo, Feng and Witten [1] to amplitudes with off-shell gluons [2] is applied, both to obtain expressions which are hard-coded in the program, and numerically. | ||

Restrictions:Matrix element summed over color and spin can be evaluated for up to 6 external gluons with up to 2 of them off-shell. Color-ordered amplitudes can be evaluated essentially for an arbitrary number of external gluons, with up to 2 of them off-shell. | ||

Running time:The evaluation of the matrix element for a single phase space point summed over colors and helicities takes 0.005ms for 4 gluons with 2 of them off-shell, 0.1ms for 5 gluons with 2 of them off-shell, and 2.7ms for 6 gluons with 2 of them off-shell. This is on a single 2.30 GHz Intel Core i7, without any compiler optimization. | ||

References: | ||

[1] | R. Britto, F. Cachazo, B. Feng, and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys.Rev.Lett. 94 (2005) 181602, [hep-th/0501052]. | |

[2] | A. van Hameren, BCFW recursion for off-shell gluons, JHEP 1407 (2014) 138, [1404.7818]. |

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