Abstract
We revisit radiative parton energy loss in deeply inelastic scattering (DIS) off a large nucleus within the perturbative QCD approach. We calculate the gluon radiation spectra induced by double parton scattering in DIS without collinear expansion in the transverse momentum of initial gluons as in the original high-twist approach. The final radiative gluon spectrum can be expressed in terms of the convolution of hard partonic parts and unintegrated or transverse momentum dependent (TMD) quark-gluon correlations. The TMD quark-gluon correlation can be factorized approximately as a product of initial quark distribution and TMD gluon distribution which can be used to define the generalized or TMD jet transport coefficient. Under the static scattering center and soft radiative gluon approximation, we recover the result by Gylassy-Levai-Vitev (GLV) in the first order of the opacity expansion. The difference as a result of the soft radiative gluon approximation is investigated numerically under the static scattering center approximation.
Highlights
In high-energy heavy-ion collisions, an energetic parton will undergo multiple scattering in hot quark gluon plasma (QGP) and loses energy along its path
This phenomenon known as jet quenching has been observed in experiments at the Relativistic Heavy-ion Collider (RHIC) [3,4] and the Large Hadron Collider (LHC) [5,6,7] and has been used to extract properties of the QGP that is produced in high-energy heavy-ion collisions [8]
One does not carry out collinear expansion of the hard partonic part of the parton-medium scattering and induced gluon radiation as in the collinear factorized approach
Summary
In high-energy heavy-ion collisions, an energetic parton will undergo multiple scattering in hot quark gluon plasma (QGP) and loses energy along its path. Interactions between the propagating parton and medium, do not involve energy and longitudinal momentum transfer In these approaches, the elastic scattering, the radiative processes, and the corresponding energy loss are calculated separately. GLV calculation has been extended beyond soft radiation approximation [34] and with a dynamic medium through the hard thermal loop resummed gluon propagator [35] and beyond first order in opacity expansion [36]. We will consider multiple parton scattering and medium-induced gluon radiation in DIS off a large nucleus without collinear expansion in the transverse momentum of the initial or exchanged gluons.
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