| Article | |
| Report number | arXiv:2203.11241 ; CERN-TH-2022-045 |
| Title | The medium-modified $ g\to c\overline{c} $ splitting function in the BDMPS-Z formalism |
| Author(s) | Attems, Maximilian (CERN) ; Brewer, Jasmine (CERN) ; Innocenti, Gian Michele (CERN) ; Mazeliauskas, Aleksas (CERN) ; Park, Sohyun (CERN) ; van der Schee, Wilke (CERN) ; Wiedemann, Urs Achim (CERN) |
| Publication | 2023-01-16 |
| Imprint | 2022-03-21 |
| Number of pages | 58 |
| Note | 58 pages, 12 figures; v2 corrected finite z-dependence, new derivation in section 7, conclusions unchanged. v3 small clarifications, published version |
| In: | JHEP 01 (2023) 080 |
| DOI | 10.1007/JHEP01(2023)080 (publication) |
| Subject category | Nuclear Physics - Theory ; Nuclear Physics - Experiment ; Particle Physics - Phenomenology ; Particle Physics - Theory |
| Abstract | The formalism of Baier-Dokshitzer-Mueller-Peigné-Schiff and Zakharov determines the modifications of parton splittings in the QCD plasma that arise from medium-induced gluon radiation. Here, we study medium-modifications of the gluon splitting into a quark--anti-quark pair in this BDMPS-Z formalism. We derive a compact path-integral formulation that resums effects from an arbitrary number of interactions with the medium to leading order in the $1/N_c^2$ expansion. Analyses in the $N=1$ opacity and the saddle point approximations reveal two phenomena: a medium-induced momentum broadening of the relative quark--anti-quark pair momentum that increases the invariant mass of quark--anti-quark pairs, and a medium-enhanced production of such pairs. We note that both effects are numerically sizeable if the average momentum transfer from the medium is comparable to the quark mass. In ultra-relativistic heavy-ion collisions, this condition is satisfied for charm quarks. We therefore focus our numerical analysis on the medium modification of $g\to c\bar{c}$, although our derivation applies equally well to $g\to b\bar{b}$ and to gluons splitting into light-flavoured quark--anti-quark pairs. |
| Copyright/License | publication: © 2022-2025 The Authors (License: CC-BY-4.0), sponsored by SCOAP³ preprint: (License: CC BY 4.0) |
Corresponding record in: Inspire
Záznam vytvorený 2022-03-23, zmenený 2023-12-04
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