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

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.

Loop-tree duality from vertices and edges

“…In effect, the various ingredients that need to be taken into account were understood and automated in several frameworks [3][4][5][6][7][8][9]. Since many of these methods promote the space-time dimension from four to d, new reformulations that aim at a local cancellation without altering the dimension are yet under study [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Non-abelian infrared divergences on the celestial sphere

“…Recent advances in this direction have been reviewed in ref. [39].…”

Dual subtractions

“…The extension of the formalism presented here to the case of NNLO corrections is an interesting path that will be addressed elsewhere. We note that many ingredients are already available [68][69][70][71], including examples of full NNLO computation using LTD, momentum mappings and master integrals. Further applications of the work of the present paper would be the implementation of novel shower and matching schemes based on the dual subtractions discussed here.…”