Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new small-x logarithmic structure.
Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization
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abstract
The asymptotic behaviour at large N of the MS-bar quark anomalous dimensions is derived to all orders assuming only MS-bar factorization and standard results for the exponentiation of soft logarithms in the quark initiated bare cross sections for deep inelastic scattering and Drell-Yan. The result is then used to write the MS-bar quark coefficient functions in a form in which all terms of $O(\ln^m N)$ are resummed.
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A general all-order expression for threshold resummation of rapidity distributions at fixed partonic rapidity is derived for colorless final states, with NNLL coefficients determined from NNLO Drell-Yan results and shown to match a translated SCET result.
Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.
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Properties and implications of the four-loop non-singlet splitting functions in QCD
Four-loop non-singlet QCD splitting functions are verified for consistency and used to finalize analytical forms for the gluon virtual anomalous dimension and N^4LL threshold resummation coefficients, revealing a new small-x logarithmic structure.
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Threshold resummation of rapidity distributions at fixed partonic rapidity
A general all-order expression for threshold resummation of rapidity distributions at fixed partonic rapidity is derived for colorless final states, with NNLL coefficients determined from NNLO Drell-Yan results and shown to match a translated SCET result.
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PDF evolution in alternative factorisation schemes
Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.