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Efficiency improvements for the numerical computation of NLO corrections

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arxiv 1205.2096 v2 pith:I7AOWO5Q submitted 2012-05-09 hep-ph

Efficiency improvements for the numerical computation of NLO corrections

classification hep-ph
keywords contourefficiencyimprovementintegrationsubtractiontechniquesamplitudesantithetic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we discuss techniques, which lead to a significant improvement of the efficiency of the Monte Carlo integration, when one-loop QCD amplitudes are calculated numerically with the help of the subtraction method and contour deformation. The techniques discussed are: holomorphic and non-holomorphic division into sub-channels, optimisation of the integration contour, improvement of the ultraviolet subtraction terms, importance sampling and antithetic variates in loop momentum space, recurrence relations.

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