Quenching of Leading Jets and Particles: the p_t Dependent Landau-Pomeranchuk-Migdal effect from Nonlinear k_t Factorization

Abstract

We report the first derivation of the Landau-Pomeranchuk-Migdal effect for leading jets at fixed values of the transverse momentum p_t in the beam fragmentation region of hadron-nucleus collisions from RHIC (Relativistic Heavy Ion Collider) to LHC (Large Hadron Collider). The major novelty of this work is a derivation of the missing virtual radiative pQCD correction to these processes - the real-emission radiative corrections are already available in the literature. We manifestly implement the unitarity relation, which in the simplest form requires that upon summing over the virtual and real-emission corrections the total number of scattered quarks must exactly equal unity. For the free-nucleon target, the leading jet spectrum is shown to satisfy the familiar linear Balitsky-Fadin-Kuraev-Lipatov leading log(1/x) (LL-1/x) evolution. For nuclear targets, the nonlinear k_t-factorization for the LL-1/x evolution of the leading jet sepctrum is shown to exactly match the equally nonlinear LL-1/x evolution of the collective nuclear glue - there emerges a unique linear k_t-factorization relation between the two nonlinear evolving nuclear observables. We argue that within the standard dilute uncorrelated nucleonic gas treatment of heavy nuclei, in the finite energy range from RHIC to LHC, the leading jet spectrum can be evolved in the LL-1/x Balitsky-Kovchegov approximation. We comment on the extension of these results to, and their possible reggeon field theory interpretation for, mid-rapidity jets at LHC.

arXiv comment36 pages, 8 eps figs, revised, discussion on reggeon interpretation and refs. added

References in corpus (49)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD
• The Intrinsic Glue Distribution at Very Small x
• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Energy loss in perturbative QCD
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation
• Evolution of the nuclear modification factors with rapidity and centrality in d+Au collisions at $\sqrt{s_{NN}} = 200 GeV
• Gauge invariant effective action for high-energy processes in QCD
• Inclusive Gluon Production in DIS at High Parton Density
• High energy pA collisions in the color glass condensate approach II. Quark production
• Small x Phenomenology: Summary and Status
• Universal features of JIMWLK and BK evolution at small x
• The triple-pomeron regime and the structure function of the pomeron in the diffractive deep inelastic scattering at very small x
• The Color Glass Condensate and High Energy Scattering in QCD
• Feynman rules for effective Regge action
• Inclusive Two-Gluon and Valence Quark-Gluon Production in DIS and pA
• Small-x physics beyond the Kovchegov equation
• On determination of the large-$\frac{1}{x}$ gluon distribution at HERA
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• On the Rise of the Proton Structure Function F_2 Towards Low x
• Photon-Proton and Photon-Photon Scattering from Nucleon-Nucleon Forward Amplitudes
• Anatomy of the differential gluon structure function of the proton from the experimental data on F_2p
• Splitting the pomeron into two jets: a novel process at HERA
• A Phenomenological Analysis of Gluon Mass Effects in Inclusive Radiative Decays of the $J/\psi$ and $Υ
• Particle Correlations in Saturated QCD Matter
• Quantitative study of the violation of kt-factorization in hadroproduction of quarks at collider energies
• Scattering of shock waves in QCD
• Field strength correlators in QCD: new fits to the lattice data
• The spectrum and solutions of the generalized BFKL equation for total cross section
• Coherent production of hard dijets on nuclei in QCD
• Breaking of k_\perp-factorization for Single Jet Production off Nuclei
• Inclusive Heavy-Flavor Production from Nuclei
• The color dipole BFKL-Regge expansion: from DIS on protons to pions to rise of hadronic cross sections
• Nonlinear k_\perp-factorization for Gluon-Gluon Dijets Produced off Nuclear Targets
• Nonlinear k_\perp-factorization for Quark-Gluon Dijet Production off Nuclei
• Nonlinear kT factorization for Forward Dijets in DIS off Nuclei in the Saturation Regime
• Nonuniversality Aspects of Nonlinear k_\perp-factorization for Hard Dijets
• Initial State Parton Showers Beyond Leading Order
• Quark production in high energy proton-nucleus collisions
• On the inclusive gluon jet production off the nucleus in the perturbative QCD
• On correlations and discreteness in non-linear QCD evolution
• Why Breakup of Photons and Pions into Forward Dijets Is so Different: Predictions from Nonlinear Nuclear k_t-factorization
• Saturation of Nuclear Partons: the Fermi Statistics or Nuclear Opacity?
• Evolution of high-mass diffraction from the light quark valence component of the pomeron
• Glue in the pomeron from nonlinear k_\perp-factorization
• Fate of k_perp-factorization for hard processes in nuclear environment

Cited by in corpus (17)

• Exclusive coherent production of heavy vector mesons in nucleus-nucleus collisions at LHC
• Saturation effects in forward-forward dijet production in p+Pb collisions
• Unitarity constraints for DIS off nuclei: predictions for electron-ion colliders
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• Unitarity cutting rules for the nucleus excitation and topological cross sections in hard production off nuclei from nonlinear k_t-factorization
• The dipole cross section by the unintegrated gluon distribution at small $x$
• Production of two $c\bar{c}$ pairs in gluon-gluon scattering in high energy proton-proton collisions
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Exclusive dilepton production via timelike Compton scattering in heavy ion collisions
• Ratio of the structure functions and the color dipole model bound
• Beyond DGLAP improved saturation model
• Non-linear BFKL dynamics: color screening vs. gluon fusion
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Effects of heavy quarks in the dipole cross section with the KLN model
• Evolution of the color dipole cross section
• Forward pion production at large transverse momenta in pp collisions and beyond