6533b7d3fe1ef96bd125fec1

RESEARCH PRODUCT

Analytical results forO(αs)radiative corrections toe+e−→tt¯↑up to a given gluon energy cut

Stefan GrooteStefan GrooteJ. G. Körner

subject

Orientation (vector space)PhysicsNuclear and High Energy PhysicsParticle physicsTop quarkAnnihilationPair productionElectron–positron annihilationHigh Energy Physics::PhenomenologyRadiative transferEnergy (signal processing)Gluon

description

We determine the O({alpha}{sub s}) radiative corrections to polarized top quark pair production in e{sup +}e{sup -} annihilations with a specified gluon energy cut. We write down fully analytical results for the unpolarized and polarized O({alpha}{sub s}) cross sections e{sup +}e{sup -}{yields}tt(G) and e{sup +}e{sup -}{yields}tt{sup {up_arrow}}(G) including their polar orientation dependence relative to the beam direction. In the soft-gluon limit we recover the usual factorizing form known from the soft-gluon approximation. In the limit when the gluon energy cut takes its maximum value we recover the totally inclusive unpolarized and polarized cross sections calculated previously. We provide some numerical results on the cutoff dependence of the various polarized and unpolarized cross sections and discuss how the exact results numerically differ from the approximate soft-gluon results.

https://doi.org/10.1103/physrevd.80.034001