Efficiency improvements for the numerical computation of NLO corrections
arXiv:1205.2096 · doi:10.1007/JHEP07(2012)090
Abstract
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.
34 pages, version to be published
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- Removing infrared divergences from two-loop integrals
- Numerical Loop-Tree Duality: contour deformation and subtraction
- Analytic Computing Methods for Precision Calculations in Quantum Field Theory
- Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
- Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
- Direct contour deformation with arbitrary masses in the loop
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- Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
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- Numerical multi-loop integrals and applications
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- Exposing the threshold structure of loop integrals
- Locally finite two-loop QCD amplitudes from IR universality for electroweak production
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