Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
M. X. Luo, Tong-Zhi Yang, Hua Xing Zhu, Yu Jiao Zhu
Abstract
We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of nonstandard Feynman integrals with rapidity divergence. We introduce a set of generalized integration-by-parts equations, which allows an algorithmic evaluation of such integrals using the machinery of modern Feynman integral calculation.
Topics & Concepts
PartonPhysicsFeynman diagramParticle physicsQuantum chromodynamicsRapidityPerturbative QCDQuarkOrder (exchange)Distribution (mathematics)Integration by partsDistribution functionDivergence (linguistics)Deep inelastic scatteringMathematical physicsScatteringInelastic scatteringQuantum mechanicsHadronMathematical analysisMathematicsLinguisticsEconomicsFinancePhilosophyParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research