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Matchmakereft: automated tree-level and one-loop matching

by Adrián Carmona, Achilleas Lazopoulos, Pablo Olgoso, José Santiago

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Submission summary

Authors (as registered SciPost users): Adrian Carmona · Jose Santiago
Submission information
Preprint Link: scipost_202201_00006v2  (pdf)
Date accepted: 2022-06-07
Date submitted: 2022-05-23 16:08
Submitted by: Santiago, Jose
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approaches: Theoretical, Computational, Phenomenological


We introduce matchmakereft, a fully automated tool to compute the tree-level and one-loop matching of arbitrary models onto arbitrary effective theories. Matchmakereft performs an off-shell matching, using diagrammatic methods and the background field method when gauge theories are involved. The large redundancy inherent to the off-shell matching together with explicit gauge invariance offers a significant number of non-trivial checks of the results provided. These results are given in the physical basis but several intermediate results, including the matching in the Green basis before and after canonical normalization, are given for flexibility and the possibility of further cross-checks. As a non-trivial example we provide the complete matching in the Warsaw basis up to one loop of an extension of the Standard Model with a charge -1 vector-like lepton singlet. Matchmakereft has been built with generality, flexibility and efficiency in mind. These ingredients allow matchmakereft to have many applications beyond the matching between models and effective theories. Some of these applications include the one-loop renormalization of arbitrary theories (including the calculation of the one-loop renormalization group equations for arbitrary theories); the translation between different Green bases for a fixed effective theory or the check of (off-shell) linear independence of the operators in an effective theory. All these applications are performed in a fully automated way by matchmakereft.

Author comments upon resubmission

Dear Editor,

we would like to thank the referees for their detailed reports. We have responded to all of them in detail and we would like to resubmit a new version of our article in which all changes have been implemented.

List of changes

All the changes are detailed in the response to the three referee reports.

Published as SciPost Phys. 12, 198 (2022)

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