May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations

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In this report, we present a discussion about different frameworks to perform precise higher-order computations for high-energy physics.

• These approaches implement novel strategies to deal with infrared and ultraviolet singularities in quantum field theories.
• A special emphasis is devoted to the local cancellation of these singularities, which can enhance the efficiency of computations and lead to discover novel mathematical properties in quantum field theories.