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: krzysztof.kutak@ifj.edu.pl
Received:
26
November
2018
Accepted:
2
April
2019
Published online:
9
April
2019
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
