6533b854fe1ef96bd12aea61
RESEARCH PRODUCT
The triple collinear limit of one-loop QCD amplitudes
Stefano CataniDaniel De FlorianGerman RodrigoGerman Rodrigosubject
QuarkNuclear and High Energy PhysicsParticle physicsCiencias FísicasHigh Energy Physics::LatticeFOS: Physical sciencesPartonSpace (mathematics)//purl.org/becyt/ford/1 [https]Matrix (mathematics)High Energy Physics - Phenomenology (hep-ph)FactorizationAmplitudesParticle Physics - PhenomenologyQuantum chromodynamicsPhysicsTripleHigh Energy Physics::PhenomenologyFísica//purl.org/becyt/ford/1.3 [https]QcdAstronomíaHigh Energy Physics - PhenomenologyGravitational singularityHigh Energy Physics::ExperimentPerturbation theory (quantum mechanics)CollinearCIENCIAS NATURALES Y EXACTASdescription
We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour space. The collinear singularities are embodied in process-independent splitting matrices that depend on the momenta, flavours, spins and colours of the collinear partons. We give the general structure of the infrared and ultraviolet divergences of the one-loop splitting matrices. We also present explicit one-loop results for the triple collinear splitting, $q \to q {\bar Q} Q$, of a quark and a quark--antiquark pair of different flavours. The one-loop triple collinear splitting is one of the ingredients that can be used to compute the evolution of parton distributions at the next-to-next-to-leading order in QCD perturbation theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-12-04 |