Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model
A. Łuszczak, Marta Łuszczak, Wolfgang Schäfer
Abstract
We evaluate the unintegrated gluon distribution of the proton starting from a parametrization of the color dipole cross section including Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution and saturation effects. To this end, we perform the Fourier-Bessel transform of σ(x,r)/α(r). At large transverse momentum of gluons we match the so-obtained distribution to the logarithmic derivative of the collinear gluon distribution. We check our approach by calculating the proton structure function FL(x,Q2) finding good agreement with HERA data.
Topics & Concepts
PhysicsGluonDGLAPHERAColor-glass condensateDipoleProtonParticle physicsSaturation (graph theory)Parametrization (atmospheric modeling)Quantum chromodynamicsPartonDistribution functionNuclear physicsRadiative transferQuantum mechanicsMathematicsCombinatoricsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle Interactions