6533b857fe1ef96bd12b5009

RESEARCH PRODUCT

On-shell recursion relations for all Born QCD amplitudes

Christian SchwinnStefan Weinzierl

subject

Quantum chromodynamicsPhysicsQuarkHigh Energy Physics - TheoryNuclear and High Energy PhysicsParticle physicsSpinorHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyRecursion (computer science)FOS: Physical sciencesSpace (mathematics)HelicityGluonHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)High Energy Physics::ExperimentMeromorphic function

description

We consider on-shell recursion relations for all Born QCD amplitudes. This includes amplitudes with several pairs of quarks and massive quarks. We give a detailed description on how to shift the external particles in spinor space and clarify the allowed helicities of the shifted legs. We proof that the corresponding meromorphic functions vanish at z --> infinity. As an application we obtain compact expressions for helicity amplitudes including a pair of massive quarks, one negative helicity gluon and an arbitrary number of positive helicity gluons.

10.1088/1126-6708/2007/04/072http://arxiv.org/abs/hep-ph/0703021