Abstract
We study the medium-induced gluon emission process experienced by a hard jet parton propagating through the dense nuclear matter in the framework of deep inelastic scattering off a large nucleus. We work beyond the collinear rescattering expansion and the soft gluon emission limit, and derive a closed formula for the medium-induced single gluon emission spectrum from a heavy or light quark jet interacting with the dense nuclear medium via transverse and longitudinal scatterings. Without performing the collinear rescattering expansion, the medium-induced gluon emission spectrum is controlled by the full distribution of the differential elastic scattering rates between the propagating partons and the medium constituents. We further show that if one utilizes heavy static scattering centers for the traversed nuclear matter and takes the soft gluon emission limit, our result can reduce to the first order in opacity Djordjevic-Gyulassy-Levai-Vitev formula.
Highlights
High-energy heavy-ion collisions at the Large Hadron Collider (LHC) and the Relativistic Heavy-Ion Collider (RHIC) can create the strongly interacting quark-gluon plasma (QGP), a state of matter consisting of deconfined quarks and gluons
We study the medium-induced gluon emission process experienced by a hard jet parton propagating through the dense nuclear matter in the framework of deep inelastic scattering off a large nucleus
We work beyond the collinear rescattering expansion and the soft-gluon emission limit, and we derive a closed formula for the medium-induced single gluon emission spectrum from a heavy or light quark jet interacting with the dense nuclear medium via transverse and longitudinal scatterings
Summary
High-energy heavy-ion collisions at the Large Hadron Collider (LHC) and the Relativistic Heavy-Ion Collider (RHIC) can create the strongly interacting quark-gluon plasma (QGP), a state of matter consisting of deconfined quarks and gluons. Regarding medium-induced radiative parton energy loss, some jet quenching formalisms (e.g., GLV and ASW) take the soft approximation for the emitted gluons assuming the emitted gluon energy is much smaller than the parent parton energy, while others (e.g., BDMPS-Z and HT) take collinear expansion for the rescatterings with the medium constituents assuming the exchanged transverse momentum between jet and medium is small and can be approximated by Gaussian distribution These issues have already been pointed out in Ref. As compared to our previous work [69], the current work focuses on the charged current interaction channel in DIS and study the medium-induced gluon emission for both massive and massless quarks on the same footing It can be viewed as a generalization of the higher twist formalism [63,64,65,66] for both heavy and light flavor mediuminduced radiative process.
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