Unified description of DGLAP, CSS, and BFKL evolution: TMD factorization bridging large and small x

Mukherjee, Swagato; Skokov, Vladimir V.; Tarasov, Andrey; Tiwari, Shaswat

doi:10.1103/PhysRevD.109.034035

Title: Unified description of DGLAP, CSS, and BFKL evolution: TMD factorization bridging large and small $x$

Journal Article · Thu Feb 29 00:00:00 EST 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.034035· OSTI ID:2316088

;

; Tiwari, Shaswat

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 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 and Collins-Soper-Sterman (CSS) evolutions. Conversely, matching with high-energy factorization not only yields the Balitsky-Fadin-Kuraev-Lipatov 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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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704; SC0020081

OSTI ID:: 2316088

Alternate ID(s):: OSTI ID: 2324877

Report Number(s):: BNL-225386-2024-JAAM; PRVDAQ; 034035

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 109 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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