Timelike small x Resummation for Fragmentation Functions
S. Albino, P. Bolzoni, B.A. Kniehl, A. Kotikov
TL;DR
This paper develops a method for resumming small x logarithms in timelike fragmentation functions, providing new resummation formulas that align with recent NNLO fixed-order calculations.
Contribution
It introduces a general procedure for extracting and resumming large logarithms of x in the MS scheme for timelike processes, including new doubly-logarithm-resummed coefficient functions.
Findings
Resummation formulas agree with recent NNLO fixed-order results.
New doubly-logarithm-resummed coefficient functions are presented.
A systematic procedure for small x resummation in timelike kinematics is developed.
Abstract
The status of small x resummation in the timelike kinematics is discussed. We present a general procedure to extract the large logarithms of x in the MS factorization scheme and to resum them in a closed form. New results for the doubly-logarithm-resummed coefficient functions will be reviewed. All our resummation formulae are in agrement with the fixed NNLO computations recently done by other groups in the \bar{MS} scheme.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNumerical methods for differential equations · Advanced Numerical Methods in Computational Mathematics · Nonlinear Waves and Solitons