6533b856fe1ef96bd12b1e66

RESEARCH PRODUCT

Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations

Stefan WeinzierlChristian Reuschle

subject

High Energy Physics - TheoryQuarkPhysicsQuantum chromodynamicsNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesSystem of linear equationsGluonHigh Energy Physics - PhenomenologyS-matrix theoryAmplitudeHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Quantum mechanicsQuark–gluon plasmaHigh Energy Physics::ExperimentMathematical physics

description

We present the decomposition of QCD partial amplitudes into primitive amplitudes at one-loop level and tree level for arbitrary numbers of quarks and gluons. Our method is based on shuffle relations. This method is purely combinatorial and does not require the inversion of a system of linear equations.

https://dx.doi.org/10.48550/arxiv.1310.0413