https://doi.org/10.1140/epjc/s10052-019-6838-9
Regular Article - Theoretical Physics
Solutions of evolution equations for medium-induced QCD cascades
1
Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, 31-342, Kraków, Poland
2
Marian Smoluchowski Institute of Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348, Kraków, Poland
3
AGH University of Science and Technology, Kraków, Poland
* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
26
November
2018
Accepted:
2
April
2019
Published online:
9
April
2019
Abstract
In this paper we present solutions of evolution equations for inclusive distribution of gluons as produced by jet traversing quark–gluon plasma. We reformulate the original equations in such a form that virtual and unresolved-real emissions as well as unresolved collisions with medium are resummed in a Sudakov-type form factor. The resulting integral equations are then solved most efficiently with use of newly developed Markov Chain Monte Carlo algorithms implemented in a dedicated program called MINCAS. Their results for a gluon energy density are compared with an analytical solution and a differential numerical method. Some results for gluon transverse-momentum distributions are also presented. They exhibit interesting patterns not discussed so far in the literature, in particular a departure from the Gaussian behaviour – which does not happen in approximate analytical solutions.
© The Author(s), 2019
