EFT matching from analyticity and unitarity
Stefano De Angelis, Gauthier Durieux
SciPost Phys. 16, 071 (2024) · published 12 March 2024
- doi: 10.21468/SciPostPhys.16.3.071
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Abstract
We present a new on-shell method for the matching of ultraviolet models featuring massive states onto their massless effective field theory. We employ a dispersion relation in the space of complex momentum dilations to capture, in a single variable, the relevant analytic structure of scattering amplitudes at any multiplicity. Multivariate complex analysis and crossing considerations are therefore avoided. Remarkably, no knowledge about the infrared effective field theory is required in dimensional regularisation. All matching information is extracted from the residues and iscontinuities of the ultraviolet scattering amplitudes, which unitarity expresses in terms of lower-point and lower-loop results, respectively. This decomposition into simpler building blocks could deliver new insight in the structure of the effective field theories obtained from classes of ultraviolet scenarios and facilitate computations at higher loop orders.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 L'Institut de physique théorique [IPhT]
- 2 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]