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arXiv · 2311.16402

A unified description of DGLAP, CSS, and BFKL: TMD factorization bridging large and small x

Swagato Mukherjee·Vladimir V. Skokov·Andrey Tarasov·Shaswat Tiwari
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Abstract

This paper introduces a transverse-momentum dependent (TMD) factorization scheme designed to unify both large and small Bjorken-x regimes. We compute the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to the gluon TMD operator for an unpolarized hadron within this proposed scheme. This leads to the emergence of a new TMD evolution, incorporating those in transverse momentum, rapidity, and Bjorken-x. When matched to the collinear factorization scheme, our factorization scheme faithfully reproduces the well-established Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and Collins-Soper-Sterman (CSS) evolutions. Conversely, matching with high-energy factorization not only yields the Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution but also reveals distinctive signatures of CSS logarithms. The development of this novel TMD factorization scheme, capable of seamlessly reconciling disparate Bjorken-x regimes and faithfully reproducing established QCD evolution equations, has the potential to significantly advance our comprehension of high-energy processes and three-dimensional parton structures of hadrons.

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Swagato Mukherjee, Vladimir V. Skokov, Andrey Tarasov, Shaswat Tiwari. 2023-11-28. A unified description of DGLAP, CSS, and BFKL: TMD factorization bridging large and small x. https://arxiv.org/abs/2311.16402

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