Modified Boltzmann approach for modeling the splitting vertices induced by the hot QCD medium in the deep Landau-Pomeranchuk-Migdal region

Ke, Weiyao; Xu, Yingru; Bass, Steffen A.

doi:10.1103/physrevc.100.064911

Title: Modified Boltzmann approach for modeling the splitting vertices induced by the hot QCD medium in the deep Landau-Pomeranchuk-Migdal region

Journal Article · 22 December 2019 · Physical Review C

DOI: https://doi.org/10.1103/physrevc.100.064911 · OSTI ID:1800263

^[1]; Xu, Yingru ^[2]; Bass, Steffen A. ^[2]

Duke Univ., Durham, NC (United States); OSTI
Duke Univ., Durham, NC (United States)

Hard probes produced in perturbative processes are excellent probes for the study of the hot and dense QCD matter created in relativistic heavy-ion collisions. Transport theory, allowing for coupling to an evolving medium with fluctuating initial conditions, has become a powerful tool in this endeavor. However, the implementation of the Landau-Pomeranchuk-Migdal (LPM) effect for medium-induced parton bremsstrahlung and pair production poses a challenge to semiclassical transport models based on Boltzmann-type transport equations. In this work, we investigate a possible solution to approximate the LPM effect in a “modified Boltzmann transport” approach, including a prescription for the running coupling constant. By fixing a numerical parameter, this approach quantitatively reproduces the rates of medium-induced parton splitting predicted by the next-to-leading-log solution of the Arnold-Moore-Yaffe equation, which is valid in the deep-LPM regime of an infinite medium. Further, we also find qualitative agreement of our implementation with calculations in a finite and expanding medium, but future improvements are necessary for added precision at small path length. This work benefits transport model-based studies and the usage of these models in the phenomenological extraction of the jet transport coefficient.

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Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC)

Grant/Contract Number:: FG02-05ER41367

OSTI ID:: 1800263

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 6 Vol. 100; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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