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With the advancement of strategies for the precision physics programs for theHL-LHC, FCC-ee, FCC-hh, ILC, CLIC, CEPC, and CPPC, the need for proper controlof the attendant theoretical precision tags is manifest. We discuss the rolethat amplitude-based resummation may play in this regard with examples from theLHC, the proposed new colliders and quantum gravity.

IR-Improved Amplitude-Based Resummation in Quantum Field Theory: New Results and New Issues