Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.
Evolution of Color Exchange in QCD Hard Scattering
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abstract
In QCD hard scattering cross sections, the color content of the underlying hard scattering evolves with a factorization scale. This evolution is controlled by an anomalous dimension matrix, specific to each hard-scattering reaction. Anomalous dimensions are determined from the renormalization of products of ordered exponentials of the gauge field, which describe the coherent radiation of gluons by incoming hadrons and the observed jets or particles of the final state. The anomalous dimensions depend on the kinematics of the underlying hard scattering, but are free of collinear singularities. A number of these matrices are available in the literature. Here, we exhibit one-loop mixing matrices for the full list of $2 \to 2$ reactions involving light quarks and gluons. The eight-by-eight anomalous dimension matrix for gluon-gluon scattering shows a simplified structure in the basis corresponding to definite color exchange in the $t$-channel.
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A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.
A conservative BFKL-aware endpoint matching of the NLO forward jet vertex moves R21 toward CMS but does not simultaneously describe all five CMS azimuthal observables under the tested BLM/MOM prescriptions.
citing papers explorer
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Resummation of threshold double logarithms in quarkonium fragmentation functions
Resummed quarkonium fragmentation functions are derived to all orders in perturbation theory, resolving threshold singularities without nonperturbative model functions.
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Progress on the soft anomalous dimension in QCD
A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.
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Endpoint Logarithms in the NLO Mueller-Navelet Jet Vertex: Threshold Matching and BLM/MOM Prescription Sensitivity
A conservative BFKL-aware endpoint matching of the NLO forward jet vertex moves R21 toward CMS but does not simultaneously describe all five CMS azimuthal observables under the tested BLM/MOM prescriptions.
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