Automated computation of spin- and colour-correlated Born matrix elements

Abstract

I report on an implementation of an algorithm for the automated numerical calculation of spin- and colour-correlated Born matrix elements in QCD. These spin- and colour-correlated matrix elements are needed for NLO calculations in combination with the subtraction method. Both massless and massive quarks are considered. There are no restrictions on the number of external particles. As a trivial sub-case, the algorithm also applies to Born matrix elements without any correlations. These are sufficient for leading order calculations.

28 pages

References in corpus (4)

• An algebraic/numerical formalism for one-loop multi-leg amplitudes
• Automated computation of one-loop integrals in massless theories
• Scalar diagrammatic rules for Born amplitudes in QCD
• Top quark pair + jet production at next-to-leading order: NLO QCD corrections to gg -> t tbar g

Cited by in corpus (24)

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• Numerical NLO QCD calculations
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• On-shell recursion relations for all Born QCD amplitudes
• A comparison of efficient methods for the computation of Born gluon amplitudes
• Efficiency improvements for the numerical computation of NLO corrections
• A simple formula for the infrared singular part of the integrand of one-loop QCD amplitudes
• Integrands of loop amplitudes within loop-tree duality
• Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
• Infrared singularities in one-loop amplitudes
• Numerical integration of subtraction terms
• Automated Evaluation of One-Loop Six-Point Processes for the LHC
• The matrix element method at next-to-leading order for arbitrary jet algorithms
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• Top-quark pair + 1-jet production at next-to-leading order QCD
• The chirality-flow formalism for the standard model
• The chirality-flow formalism
• Automated calculations for multi-leg processes
• Automating scattering amplitudes with chirality flow
• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
• A Brief Look at the Chirality-Flow Formalism for Standard Model Amplitudes
• A new formulation of the loop-tree duality at higher loops