A unified description of DGLAP, CSS, and BFKL: TMD factorization bridging large and small x
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| Format: | Preprint |
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2023
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| _version_ | 1866911786675994624 |
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| author | Mukherjee, Swagato Skokov, Vladimir V. Tarasov, Andrey Tiwari, Shaswat |
| author_facet | Mukherjee, Swagato Skokov, Vladimir V. Tarasov, Andrey Tiwari, Shaswat |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_16402 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A unified description of DGLAP, CSS, and BFKL: TMD factorization bridging large and small x Mukherjee, Swagato Skokov, Vladimir V. Tarasov, Andrey Tiwari, Shaswat High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory 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. |
| title | A unified description of DGLAP, CSS, and BFKL: TMD factorization bridging large and small x |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2311.16402 |