Future prospects of hot and cold QCD physics at RHIC and LHC

Within a decade, we are going to enter a new era on QCD studies. In USA, the new accelerator, the Electron-Ion Collider (EIC) will be built to study the internal structure of nucleon and nucleus more precisely than ever, and at CERN, new detector upgrades are planed at LHC, for instance, Forward Calorimeter (FoCal) and Inner Tracking System 3 (ITS3) for LHC Run-4, and ALICE3 for Run-5 and beyond. The sPHENIX program is just started at RHIC. There is a strong synergy between LHC and RHIC on both hot QCD and cold QCD. For the hot QCD, sPHENIX will provide more precise measurements on properties of quark-gluon plasma (QGP) at RHIC energies, so that by comparing the measurements at LHC, we could obtain a temperature dependences of QGP properties. And by combining the data by FoCal at LHC and EIC, we could explore a wide kinematic coverage of x-Q space, in order to see a non-linear QCD evolution, and determine a nature of gluon saturation for the first time. In this talk, we will review the current status of hot and cold QCD physics at RHIC and LHC. And the future prospects of upgrades at LHC with synergy of EIC measurements with regards to the new understanding of QCD will be reported.