https://doi.org/10.1140/epja/s10050-020-00220-x
Regular Article - Theoretical Physics
Heavy flavour Langevin diffusion with the chromo-electromagnetic field fluctuations in the quark–gluon plasma
1
Department of Physics, Kent State University, Kent, OH, 44242, USA
2
Variable Energy Cyclotron Centre, HBNI, 1/AF Bidhan Nagar, Kolkata, 700 064, India
* e-mail: za@vecc.gov.in
Received:
14
April
2020
Accepted:
11
August
2020
Published online:
27
August
2020
The chromo-electromagnetic field is produced due to the motion of partons in a quark–gluon plasma created by relativistic heavy-ion collisions. The fluctuations in the produced chromo-electromagnetic field are important, since they cause heavy quarks to gain energy in the low velocity limit. We study the effect of such fluctuations on heavy quark diffusion in quark–gluon plasma within the framework of Langevin dynamics under the background matter described by the (
)-dimensional relativistic viscous hydrodynamics. Theoretical calculations of the nuclear modification factor (
) of heavy mesons (D and B mesons), with the effect of these fluctuations, are compared with experimental measurements in Au–Au collisions at 
GeV by the STAR experiment at the BNL Relativistic Heavy Ion Collider (RHIC) and Pb–Pb collisions at 
and 5.02 TeV by the ALICE and CMS experiments at the CERN Large Hadron Collider (LHC). In addition to that, the elliptic flow (
) of D-meson has been calculated in the same framework for Pb–Pb collisions at and compared with ALICE measurements. We find a significant effect of these fluctuations in describing the measured and of heavy flavour mesons at both RHIC and LHC energies.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
