# Global constraints from RHIC and LHC on transport properties of QCD fluids in CUJET/CIBJET framework

• We report results of a comprehensive global $\chi^2$ analysis of nuclear collision data from RHIC (0.2 ATeV), LHC1 (2.76 ATeV), and recent LHC2 (5.02 ATeV) energies using the updated CUJET framework. The framework consistently combines viscous hydrodynamic fields predicted by VISHNU2+1 (validated with soft $p_T<2$ GeV bulk observables) and the DGLV theory of jet elastic and inelastic energy loss generalized to QGP fluids with an sQGMP color structure, including effective semi-QGP color electric quark and gluon as well as emergent color magnetic monopole degrees of freedom constrained by lattice QCD data. We vary the two control parameters of the model (the maximum value of the running QCD coupling, $\alpha_c$, and the ratio $c_m$ of color magnetic to electric screening scales) and calculate the global $\chi^2(\alpha_c,c_m)$ compared with available jet fragment observables ($R_{{\rm AA}}, v_2$). A global $\chi^2<2$ minimum is found with $\alpha_c \approx 0.9\pm 0.1$ and $c_m\approx 0.25\pm 0.03$. Using CIBJET, the event-by-event (ebe) generalization of the CUJET framework, we show that ebe fluctuations in the initial conditions do not significantly alter our conclusions (except for $v_3$). An important theoretical advantage of the CUJET and CIBJET frameworks is not only its global $\chi^2$ consistency with jet fragment observables at RHIC and LHC and with non-perturbative lattice QCD data, but also its internal consistency of the constrained jet transport coefficient, $\hat{q}(E,T)/T^3$, with the near-perfect fluid viscosity to entropy ratio ($\eta/s \sim T^3/\hat{q}\sim 0.1-0.2$) property of QCD fluids near $T_c$ needed to account for the low $p_T<2$ GeV flow observables. Predictions for future tests at LHC with 5.44 ATeV Xe + Xe and 5.02 ATeV Pb + Pb are also presented.

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Shuzhe Shi, Jinfeng Liao and Miklos Gyulassy. Global constraints from RHIC and LHC on the transport properties of QCD fluids in the CUJET/CIBJET framework[J]. Chinese Physics C. doi: 10.1088/1674-1137/43/4/044101
Shuzhe Shi, Jinfeng Liao and Miklos Gyulassy. Global constraints from RHIC and LHC on the transport properties of QCD fluids in the CUJET/CIBJET framework[J]. Chinese Physics C.
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###### 通讯作者: 陈斌, bchen63@163.com
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Global constraints from RHIC and LHC on transport properties of QCD fluids in CUJET/CIBJET framework

• 1. Physics Department and Center for Exploration of Energy and Matter, Indiana University, 2401 N Milo B. Sampson Lane, Bloomington, IN 47408, USA
• 2. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
• 3. Pupin Lab MS-5202, Department of Physics, Columbia University, New York, NY 10027, USA
• 4. Institute of Particle Physics and Key Laboratory of Quark & Lepton Physics (MOE), Central China Normal University, Wuhan, 430079, China

Abstract: We report results of a comprehensive global $\chi^2$ analysis of nuclear collision data from RHIC (0.2 ATeV), LHC1 (2.76 ATeV), and recent LHC2 (5.02 ATeV) energies using the updated CUJET framework. The framework consistently combines viscous hydrodynamic fields predicted by VISHNU2+1 (validated with soft $p_T<2$ GeV bulk observables) and the DGLV theory of jet elastic and inelastic energy loss generalized to QGP fluids with an sQGMP color structure, including effective semi-QGP color electric quark and gluon as well as emergent color magnetic monopole degrees of freedom constrained by lattice QCD data. We vary the two control parameters of the model (the maximum value of the running QCD coupling, $\alpha_c$, and the ratio $c_m$ of color magnetic to electric screening scales) and calculate the global $\chi^2(\alpha_c,c_m)$ compared with available jet fragment observables ($R_{{\rm AA}}, v_2$). A global $\chi^2<2$ minimum is found with $\alpha_c \approx 0.9\pm 0.1$ and $c_m\approx 0.25\pm 0.03$. Using CIBJET, the event-by-event (ebe) generalization of the CUJET framework, we show that ebe fluctuations in the initial conditions do not significantly alter our conclusions (except for $v_3$). An important theoretical advantage of the CUJET and CIBJET frameworks is not only its global $\chi^2$ consistency with jet fragment observables at RHIC and LHC and with non-perturbative lattice QCD data, but also its internal consistency of the constrained jet transport coefficient, $\hat{q}(E,T)/T^3$, with the near-perfect fluid viscosity to entropy ratio ($\eta/s \sim T^3/\hat{q}\sim 0.1-0.2$) property of QCD fluids near $T_c$ needed to account for the low $p_T<2$ GeV flow observables. Predictions for future tests at LHC with 5.44 ATeV Xe + Xe and 5.02 ATeV Pb + Pb are also presented.

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