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Two-loop infrared renormalization with on-shell methods
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DOI：10.1140/epjc/s10052-023-11929-6.png)
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Within the framework proposed by Caron-Huot andWilhelm, we give a recipe for computing infrared anomalous dimensions purely on-shell, efficiently up to two loops in any massless theory. After introducing the general formalism and reviewing the one-loop recipe, we extract a practical formula that relates two-loop infrared anomalous dimensions to certain two- and three-particle phase space integrals with tree-level form factors of conserved operators. We finally provide several examples of the use of the two-loop formula and comment on some of its formal aspects, especially the cancellation of 'one-loop squared' spurious terms. The present version of the paper is augmented with a detailed treatment of the structure of infrared divergences in massless theories of scalars and fermions up to two loops. In the calculation we encounter divergent phase space integrals and show in detail how these cancel among each other as required by the finiteness of the anomalous dimension. As a non-trivial check of themethod, we also perform the computationwith a standard diagrammatic approach, finding perfect agreement.
Keyword:
EQUATIONS
期刊
IF:
4.8
论文数:
1.8W
被引数:
4.7W
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