https://doi.org/10.1140/epjc/s10052-021-09094-9
Regular Article – Theoretical Physics
Asymptotic expansions through the loop-tree duality
Instituto de Física Corpuscular, Universitat de València, Consejo Superior de Investigaciones Científicas, Parc Científic, 46980, Paterna, Valencia, Spain
Received:
3
February
2021
Accepted:
27
March
2021
Published online:
15
April
2021
Asymptotic expansions of Feynman amplitudes in the loop-tree duality formalism are implemented at integrand-level in the Euclidean space of the loop three-momentum, where the hierarchies among internal and external scales are well-defined. The ultraviolet behaviour of the individual contributions to the asymptotic expansion emerges only in the first terms of the expansion and is renormalized locally in four space-time dimensions. These two properties represent an advantage over the method of Expansion by Regions. We explore different approaches in different kinematical limits, and derive explicit asymptotic expressions for several benchmark configurations.
© The Author(s) 2021
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