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In this chapter, we will review the field-theoretic treatment of GeneralRelativity based on an effective field theory extension of the Einstein-Hilbertaction. This pragmatic route to low-energy quantum effects in gravitycritically underpins miscellaneous investigations of phenomenological andquantum extensions of General Relativity. We discuss how it allows quantumfield theory to be a theoretical laboratory for testing Einstein's theory ofgravity and demonstrate the current state of the art of an efficient andpractical scheme for evaluating the classical components of perturbativeweak-field scattering amplitudes until the fourth post-Minkowskian order. Suchresults complement numerical predictions in Einstein's theory of gravity.

Effective Field Theory and Applications: Weak Field Observables from Scattering Amplitudes in Quantum Field Theory