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EFT matching from analyticity and unitarity

by Stefano De Angelis, Gauthier Durieux

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Stefano De Angelis · Gauthier Durieux
Submission information
Preprint Link: scipost_202309_00010v2  (pdf)
Date accepted: 2024-02-28
Date submitted: 2023-12-07 23:40
Submitted by: De Angelis, Stefano
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approach: Theoretical


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. Multi-variate 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 discontinuities 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 insights in the structure of the effective field theories obtained from classes of ultraviolet scenarios and facilitate computations at higher loop orders.

Author comments upon resubmission

We simply address the point raised by the referees.

List of changes

- In pag. 3 we added a sentence between eq. (3) and eq. (4), and footnote 1 has been moved from the main text.
- In pag. 4 we added a sentence to the first bullet point.
- In pag. 5 we added footnote 2.
- In pag. 8, eq. (22) has been changed and two related formulae in the text following eq. (23).

Published as SciPost Phys. 16, 071 (2024)

Reports on this Submission

Anonymous Report 1 on 2023-12-13 (Invited Report)


The authors have addressed the points I made in the report. I recommend the paper for publication in its current form.

  • validity: -
  • significance: -
  • originality: -
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