Higher twist jet broadening and classical propagation

Abstract

The transverse broadening of jets produced in deep-inelastic scattering (DIS) off a large nucleus is studied in the collinear limit. A class of medium enhanced higher twist corrections are re-summed to calculate the transverse momentum distribution of the produced collinear jet. In contrast to previous approaches, resummation of the leading length enhanced higher twist corrections is shown to lead to a two dimensional diffusion equation for the transverse momentum of the propagating jet. Results for the average transverse momentum obtained from this approach are then compared to the broadening expected from a classical Langevin analysis for the propagation of the jet under the action of the fluctuating color Lorentz force inside the nucleons. The set of approximations that lead to identical results from the two approaches are outlined. The relationship between the momentum diffusion constant $D$ and the transport coefficient $\hat{q}$ is explicitly derived.

17 pages, 6 figures, revtex4, references added, typos corrected, discussion updated

References in corpus (36)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Suppression of Hadrons with Large Transverse Momentum in Central Au+Au Collisions at $sqrt {s sub {sub {NN}}}_ = 130 GeV
• Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD
• Reaction Operator Approach to Non-Abelian Energy Loss
• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Gluon Radiation off Hard Quarks in a Nuclear Environment: Opacity Expansion
• Centrality dependence of high pT hadron suppression in Au+Au collisions at sqrt(sNN)=130 GeV
• Multiple Parton Scattering in Nuclei: Parton Energy Loss
• Photon and Gluon Emission in Relativistic Plasmas
• Non-Abelian Energy Loss at Finite Opacity
• Multiple Scattering, Parton Energy Loss and Modified Fragmentation Functions in Deeply Inelastic eA Scattering
• Calculating Quenching Weights
• Heavy Quark Radiative Energy Loss in QCD Matter
• Transverse Momentum Broadening of a Fast Quark in a $\mathbb{N}=4$ Yang Mills Plasma
• Energy Loss of Leading Partons in a Thermal QCD Medium
• Soft Collective Excitations in Hot Gauge Theories
• Energy Loss of Leading Hadrons and Direct Photon production in Evolving Quark-Gluon Plasma
• Kinetic Equations for Longwavelength Excitations of the Quark-Gluon Plasma
• Hadron Formation in Deep-Inelastic Positron Scattering in a Nuclear Environment
• Single-Transverse Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Multiple Parton Scattering in Nuclei: Beyond Helicity Amplitude Approximation
• Quark fragmentation to ${\pi }^{\pm }$, ${\pi }^0$, $K^{\pm }$, $p$ and $\bar{p}$ in the nuclear environment
• Longitudinal Broadening of Quenched Jets in Turbulent Color Fields
• The dihadron fragmentation function and its evolution
• Modified Dihadron Fragmentation Functions in Hot and Nuclear Matter
• Jet broadening in deeply inelastic scattering
• Multiple Parton Scattering in Nuclei: Twist-Four Nuclear Matrix Elements and Off-Forward Parton Distributions
• Evolution of the parton dihadron fragmentation functions
• Resummation of nuclear enhanced higher twist in the Drell Yan process
• High Pt hadron-hadron correlations
• Dihadron fragmentation functions and high Pt hadron-hadron correlations

Cited by in corpus (55)

• Extracting jet transport coefficient from jet quenching at RHIC and LHC
• Jet quenching in high-energy heavy-ion collisions
• MARTINI: An event generator for relativistic heavy-ion collisions
• Radiative energy loss and v2 spectra for viscous hydrodynamics
• Systematic Comparison of Jet Energy-Loss Schemes in a realistic hydrodynamic medium
• Hard collinear gluon radiation and multiple scattering in a medium
• Towards the determination of heavy-quark transport coefficients in quark-gluon plasma
• Transverse Momentum Broadening and the Jet Quenching Parameter, Redux
• Explanation of Di-jet asymmetry in Pb+Pb collisions at the Large Hadron Collider
• Full jet in quark-gluon plasma with hydrodynamic medium response
• Extending Soft-Collinear-Effective-Theory to describe hard jets in dense QCD media
• Incorporating Space-Time Within Medium-Modified Jet Event Generators
• Jet energy loss, photon production, and photon-hadron correlations at RHIC
• Energy and momentum deposited into a QCD medium by a jet shower
• Full jet evolution in quark-gluon plasma and nuclear modification of jet production and jet shape in Pb+Pb collisions at 2.76 ATeV at the LHC
• Suppression of the high $p_T$ charged hadron $R_{AA}$ at the LHC
• Calculating the Jet Quenching Parameter $\hat{q}$ in Lattice Gauge Theory
• A pQCD-based description of heavy and light flavor jet quenching
• Jet quenching
• Next-to-Leading QCD Factorization for Semi-Inclusive Deep Inelastic Scattering at Twist-4
• Elastic energy loss and longitudinal straggling of a hard jet
• The energy and scale dependence of $\hat{q}$ and the JET puzzle
• Mass depletion: a new parameter for quantitative jet modification
• The quark-gluon medium
• Parton Energy Loss and Modified Beam Quark Distribution Functions in Drell-Yan Process in p+A Collisions
• Parton Transport via Transverse and Longitudinal Scattering in Dense Media
• Quantifying jet transport properties via large $p_T$ hadron production
• Transverse momentum diffusion and jet energy loss in non-Abelian plasmas
• Drag induced radiative loss from semi-hard heavy quarks
• Medium Modifications of Hadron Properties and Partonic Processes
• Photon bremsstrahlung and diffusive broadening of a hard jet
• Momentum Broadening of a Fast Parton in a Perturbative Quark-Gluon Plasma
• Transverse momentum broadening in semi-inclusive deep inelastic scattering at next-to-leading order
• Radiative corrections to the jet quenching parameter in dilute and dense media
• Asymmetric transverse momentum broadening in an inhomogeneous medium
• Jet transport and photon bremsstrahlung via longitudinal and transverse scattering
• Energy loss for heavy quarks in relation to light partons; is radiative energy loss for heavy quarks anomalous?
• On the process dependent nuclear $k_{\perp }$ broadening effect
• Multiple scattering of heavy-quarks in dense matter and the parametric prominence of drag
• Glauber-based evaluations of the odd moments of the initial eccentricity relative to the even order participant planes
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• Scaling patterns of the suppression of ${\pi }^0$ yields in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV: links to the transport properties of the QGP
• Inconsistencies in, and short pathlength correction to, $R_{AA}(p_T)$ in $\mathrm{A}+\mathrm{A}$ and $\mathrm{p}+\mathrm{A}$ collisions
• Nuclear $p_{\perp }$-broadening of an energetic parton pair
• Multiple parton scattering in nuclei: gauge invariance
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Theory of Jet Quenching in Ultra-Relativistic Nuclear Collisions
• Azimuthal asymmetry in SIDIS off nuclei as probe for $\hat{q}$
• Photon bremsstrahlung from quark jet via transverse and longitudinal scatterings: single versus multiple scatterings
• Nuclear dependences of azimuthal asymmetries in the Drell-Yan process
• Higher-twist contributions to the transverse momentum broadening in semi-inclusive deep inelastic scattering off large nuclei
• Calculating the Jet Transport Coefficient $\hat{q}$ in Lattice Gauge Theory
• Studying the QGP with Jets at the LHC and RHIC
• Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist
• Medium modified leading hadrons, jets and sub-jets in a single formalism