6533b853fe1ef96bd12ad3a0

RESEARCH PRODUCT

N3LOHiggs boson and Drell-Yan production at threshold: The one-loop two-emission contribution

Robert M. SchabingerHua Xing ZhuYe LiAndreas Von Manteuffel

subject

PhysicsQuantum chromodynamicsNuclear and High Energy PhysicsParticle physicsWilson loop010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyDrell–Yan process01 natural sciencesGluonMassless particleDimensional regularization0103 physical sciencesHiggs bosonHigh Energy Physics::Experiment010306 general physicsLepton

description

In this paper, we study phenomenologically interesting soft radiation distributions in massless QCD. Specifically, we consider the emission of two soft partons off of a pair of lightlike Wilson lines, in either the fundamental or the adjoint representation, at next-to-leading order. Our results are an essential component of the next-to-next-to-next-to-leading order threshold corrections to both Higgs boson production in the gluon fusion channel and Drell-Yan lepton production. Our calculations are consistent with the recently published results for Higgs boson production. As a nontrivial cross-check on our analysis, we rederive a recent prediction for the Drell-Yan threshold cross section using a completely different strategy. Our results are compact, valid to all orders in the dimensional regularization parameter, and expressed in terms of pure functions.

https://doi.org/10.1103/physrevd.90.053006