May the four be with you: novel IR-subtraction methods to tackle NNLO calculations
W. J. Torres Bobadilla, G. F. R. Sborlini, P. Banerjee, S. Catani, A. L. Cherchiglia, L. Cieri, P. K. Dhani, F. Driencourt-Mangin, T. Engel, G. Ferrera, C. Gnendiger, R. J. Hernández-Pinto, B. Hiller, G. Pelliccioli, J. Pires, R. Pittau, M. Rocco, G. Rodrigo, M. Sampaio, A. Signer, C. Signorile-Signorile, D. Stöckinger, F. Tramontano, Y. Ulrich
Abstract
Abstract In this manuscript, we report the outcome of the topical workshop: paving the way to alternative NNLO strategies ( https://indico.ific.uv.es/e/WorkStop-ThinkStart_3.0 ), by presenting 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.