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Heavy quarks lose energy in the hot and dense partonic soup through collisionand radiation and ultimately fragments to heavy ($D$ or $B$) mesons. The energyloss imprinted in the transverse momenta ($p_T$) distributions of those mesons,leads to the celebrated phenomenon of $jet-quenching$. An alternate measure ofin-medium energy loss, recently discussed by PHENIX Collaboration, comesthrough the effective shift in transverse momentum spectra of hadrons recordedin nucleus-nucleus collisions when it was compared to the same in proton-protoncollisions. We have advocated a similar formalism and estimated the fractionalenergy loss of heavy mesons for Pb+Pb collisions at the LHC and Au+Aucollisions at RHIC experiment. We have parameterised the invariant momentumyield of heavy mesons by Hagedorn function. The fit parameters and theexperimental data of jet-quenching are utilised to estimate the fractionalenergy loss ($\Delta m_T$) of heavy mesons at RHIC and LHC experiment. The$\Delta m_T$ is found to scale with the transverse mass ($m_T$) of heavy mesonsthrough a power law at different energies and centralities of collisions. Wehave also calculated the total energy loss suffered by a charm quark inquark-gluon plasma produced in Pb+Pb collisions at the LHC energies. Theevolution of the plasma is described by (2+1) dimensional longitudinalboost-invariant ideal hydrodynamics. It is found the total energy loss of charmquarks scales with the transverse mass of charm quarks through a similar powerlaw which supports our analysis of fractional energy loss.

Empirical determination of the fractional energy loss of heavy mesons at RHIC and LHC energies