Transverse-momentum-dependent quark splitting functions in $k_T$-factorization: real contributions

Abstract

We calculate transverse momentum dependent quark splitting kernels $P_{gq}$ and $P_{qq}$ within $k_T$-factorization, completing earlier results which concentrated on gluon splitting functions $P_{gg}$ and $P_{qg}$. The complete set of splitting kernels is an essential requirement for the formulation of a complete set of evolution equations for transverse momentum dependent parton distribution functions and the development of corresponding parton shower algorithms.

16 pages

References in corpus (15)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Universality of Unintegrated Gluon Distributions at small x
• The CCFM Monte Carlo generator CASCADE 2.2.0
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
• Forward-Central Jet Correlations at the Large Hadron Collider
• Small-$x$ dynamics in forward-central dijet decorrelations at the LHC
• Hadroproduction of electroweak gauge boson plus jets and TMD parton density functions
• Single bottom quark production in kT-factorisation
• Hard scale dependent gluon density, saturation and forward-forward dijet production at the LHC
• Resummation effects in forward production of Z0+jet at LHC
• The next-to-leading order vertex for a forward jet plus a rapidity gap at high energies
• The quark induced Mueller-Tang jet impact factor at next-to-leading order
• The Gluon-Induced Mueller-Tang Jet Impact Factor at Next-to-Leading Order
• Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution

Cited by in corpus (17)

• QCD evolution based evidence for the onset of gluon saturation in exclusive photo-production of vector mesons
• Quark jets scattering from a gluon field: from saturation to high $p_t$
• Four-jet production in single- and double-parton scattering within high-energy factorization
• Rapidity loss, spin and angular asymmetries in scattering of a quark from color field of a proton (nucleus)
• High-Energy Factorization for Drell-Yan process in $pp$ and $p\bar{p}$ collisions with new Unintegrated PDFs
• Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Sudakov resummation from the BFKL evolution
• Transverse momentum dependent splitting functions at work: quark-to-gluon splitting
• The Color Glass Condensate formalism, Balitsky-JIMWLK evolution and Lipatov's high energy effective action
• TMD gluon distributions for multiparton processes
• On the different forms of the kinematical constraint in BFKL
• Transverse Momentum Dependent Gluon Distribution within High Energy Factorization at Next-to-Leading Order
• Collinear and TMD distributions with dynamical soft-gluon resolution scale
• QCD theory overview
• Pgg TMD splitting function in kT factorization
• The growth with energy of exclusive $J/\Psi$ and ${\rm Y}$ photo-production cross-sections and BFKL evolution