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Towards pp → VVjj at NLO QCD: bosonic contributions to triple vector boson production plus jet

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Abstract

In this work, some of the NLO QCD corrections for pp → VVjj + X are presented. A program in Mathematica based on the structure of Feyn Calc which automatically simplifies a set of amplitudes up to the hexagon level of rank 5 has been created for this purpose. We focus on two different topologies. The first involves all the virtual contributions needed for quadruple electroweak vector boson production, i.e. pp → VVVV + X. In the second, the remaining “bosonic” corrections to electroweak triple vector boson production with an additional jet (pp → VVVj + X) are computed. We show the factorization formula of the infrared divergences of the bosonic contributions for VVVV and VVVj production with V ∈ (W, Z, γ). Stability issues associated with the evaluation of the hexagons up to rank 5 are studied. The CPU time of the FORTRAN subroutines rounds the 2 milliseconds and seems to be competitive with other more sophisticated methods. Additionally, in appendix A the master equations to obtain the tensor coefficients up to the hexagon level in the external momenta convention are presented including the ones needed for small Gram determinants.

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    Francisco Campanario

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Campanario, F. Towards pp → VVjj at NLO QCD: bosonic contributions to triple vector boson production plus jet. J. High Energ. Phys. 2011, 70 (2011). https://doi.org/10.1007/JHEP10(2011)070

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