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- Title
TMD splitting functions in kT factorization: the real contribution to the gluon-to-gluon splitting.
- Authors
Hentschinski, M.; Kusina, A.; Kutak, K.; Serino, M.
- Abstract
We calculate the transverse momentum dependent gluon-to-gluon splitting function within kT<inline-graphic></inline-graphic>-factorization, generalizing the framework employed in the calculation of the quark splitting functions in Hautmann et al. (Nucl Phys B 865:54-66, <ext-link>arXiv:1205.1759</ext-link>, <xref>2012</xref>), Gituliar et al. (JHEP 01:181, <ext-link>arXiv:1511.08439</ext-link>, <xref>2016</xref>), Hentschinski et al. (Phys Rev D 94(11):114013, <ext-link>arXiv:1607.01507</ext-link>, <xref>2016</xref>) and demonstrate at the same time the consistency of the extended formalism with previous results. While existing versions of kT<inline-graphic></inline-graphic> factorized evolution equations contain already a gluon-to-gluon splitting function <italic>i.e.</italic> the leading order Balitsky-Fadin-Kuraev-Lipatov (BFKL) kernel or the Ciafaloni-Catani-Fiorani-Marchesini (CCFM) kernel, the obtained splitting function has the important property that it reduces both to the leading order BFKL kernel in the high energy limit, to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) gluon-to-gluon splitting function in the collinear limit as well as to the CCFM kernel in the soft limit. At the same time we demonstrate that this splitting kernel can be obtained from a direct calculation of the QCD Feynman diagrams, based on a combined implementation of the Curci-Furmanski-Petronzio formalism for the calculation of the collinear splitting functions and the framework of high energy factorization.
- Subjects
QUARK-gluon interactions; NUCLEAR reactions; FEYNMAN diagrams; NUCLEAR physics; KERNEL functions
- Publication
European Physical Journal C -- Particles & Fields, 2018, Vol 78, Issue 3, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-018-5634-2