6533b823fe1ef96bd127e381

RESEARCH PRODUCT

A comparison of efficient methods for the computation of Born gluon amplitudes

Stefan WeinzierlMarko TernickMichael Dinsdale

subject

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsRecurrence relationComputationScalar (mathematics)FOS: Physical sciencesRecursion (computer science)Space (mathematics)GluonHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)AmplitudeHigh Energy Physics - Theory (hep-th)Born approximationMathematical physics

description

We compare four different methods for the numerical computation of the pure gluonic amplitudes in the Born approximation. We are in particular interested in the efficiency of the various methods as the number n of the external particles increases. In addition we investigate the numerical accuracy in critical phase space regions. The methods considered are based on (i) Berends-Giele recurrence relations, (ii) scalar diagrams, (iii) MHV vertices and (iv) BCF recursion relations.

https://doi.org/10.1088/1126-6708/2006/03/056