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We found that collisional and radiative processes affect hadron and jet $R_{AA}$ with different $p_T$ dependence. It is then interesting to analyze the combined constraining power from both jet and hadron quenching to the jet transport parameter $\hat{q}$.
We conduct the study with the improved transport model (LIDO), including elastic and radiative processes, and a simple treatment of jet-medium response. The model only applies in the ''transport regime'': hard partons with virtuality less than a characteristic momentum broadening scale $Q^2_{\rm med} \approx \langle \Delta k_t^2\rangle$ in a medium with temperature greater than $T_f \approx T_c$. $\hat{q}$ is determined by a temperature dependent jet-medium coupling $g_s(\mu \pi T)$.
We used a Bayesian analysis to determine the temperature and momentum dependence using hadron (light and heavy) and $R=0.4$ jet $R_{AA}$ at RHIC and LHC for the first time [1]. Experimental uncertainty and ambiguity from $\mu$, $Q_{\rm med}$ and $T_f$ are propagated to the final $\hat{q}$. Then, we made predictions with quantified uncertainty to the jet-cone-sized dependence of $R_{AA}$, modified jet shape, and fragmentation functions.
[1] Weiyao Ke and Xin-Nian Wang JHEP 05 (2021) 041