Final State Gluon Emission in Deep-Inelastic Scattering at Next-to-Leading Twist

Abstract

A detailed reanalysis of the single gluon emission rate at next-to-leading twist is carried out. As was the case in prior efforts, the problem is cast in the framework of deep-inelastic scattering (DIS) of an electron off a large nucleus. The quark produced in the interaction propagates through the remaining nucleus and engenders scattering and gluon radiation, which is calculated in the limit of one re-scattering. This medium induced single gluon emission rate forms the basis of several energy loss calculations in both DIS and heavy-ion collisions. Unlike prior efforts, a complete transverse momentum gradient expansion of the hadronic tensor, including $N_c$ suppressed terms, phase terms and finite gluon momentum fraction terms, ignored previously, is carried out. These terms turn out to be surprisingly large. In contrast to prior efforts, the full next-to-leading twist gluon emission kernel is found to be positive definite and slowly increasing with the exchanged transverse momentum. Phenomenological consequences of these new contributions are discussed.

24 pages, 26 figures

References in corpus (14)

• The theory and phenomenology of perturbative QCD based jet quenching
• Systematic Comparison of Jet Energy-Loss Schemes in a realistic hydrodynamic medium
• Determining the jet transport coefficient $\hat{q}$ from inclusive hadron suppression measurements using Bayesian parameter estimation
• Extending Soft-Collinear-Effective-Theory to describe hard jets in dense QCD media
• Multistage Monte-Carlo simulation of jet modification in a static medium
• Energy and momentum deposited into a QCD medium by a jet shower
• Calculating the Jet Quenching Parameter $\hat{q}$ in Lattice Gauge Theory
• A comparative study of Jet-quenching Schemes
• The in-medium scale evolution in jet modification
• The $x$ and $Q^2$ dependence of $\hat{q}$, quasi-particles and the JET puzzle
• Failure of the collinear expansion in calculation of the induced gluon emission
• Jet transport coefficient $\hat{q}$ in lattice QCD
• The medium modification of high-virtuality partons
• Comment on ``Success of collinear expansion in the calculation of induced gluon emission''

Cited by in corpus (8)

• Jet broadening in dense inhomogeneous matter
• Constraining $\eta /s$ through high-p${}_{\perp }$ theory and data
• Flavor hierarchy of parton energy loss in quark-gluon plasma from a Bayesian analysis
• Effects of the formation time of parton shower on jet quenching in heavy-ion collisions
• Jet Broadening in the Opacity and Twist Expansions
• Jet momentum reconstruction in the QGP background with machine learning
• An improved linear Boltzmann transport model for hadron and jet suppression in ultrarelativistic heavy-ion collisions
• Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist