Resummation in nonlinear equation for high energy factorizable gluon density and its extension to include coherence

Abstract

Motivated by forthcoming p-Pb experiments at Large Hadron Collider which require both knowledge of gluon densities accounting for saturation and for processes at a wide range of $p_t$ we study basic momentum space evolution equations of high energy QCD factorization. Solutions of those equations might be used to form a set of gluon densities to calculate observables in generalized high energy factorization. Moreover in order to provide a framework for predictions for exclusive final states in p-Pb scattering with high $p_t$ we rewrite the equation for the high energy factorizable gluon density in a resummed form, similarly to what has been done in \cite{Kutak:2011fu} for the BK equation. The resummed equation is then extended to account for colour coherence. This introduces an external scale to the evolution of the gluon density, and therefore makes it applicable in studies of final states.

14 pages, appendix added, accepted for publication in JHEP

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Cited by in corpus (13)

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• Helicity amplitudes for high-energy scattering
• Hard scale dependent gluon density, saturation and forward-forward dijet production at the LHC
• Saturation effects in forward-forward dijet production in p+Pb collisions
• Transverse momentum dependent splitting functions at work: quark-to-gluon splitting
• Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity
• Three jet production and gluon saturation effects in p-p and p-Pb collisions within high-energy factorization
• Gluon saturation scale from the KGBJS equation
• Estimation of saturation and coherence effects in the KGBJS equation - a non-linear CCFM equation
• Kinematical constraint effects in the evolution equations based on angular ordering
• Non-linear evolution of unintegrated gluon density at large values of coupling constant
• Markov Chain Mote Carlo solution of BK equation through Newton-Kantorovich method