The universal one-loop effective action

Aleksandra Drozd; John Ellis; Jeremie Quevillon; Tevong You

doi:10.1007/JHEP03(2016)180

The universal one-loop effective action

Aleksandra Drozd, John Ellis, Jeremie Quevillon, Tevong You

University of Cambridge

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Abstract

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has been checked against partial results available in the literature. The broad applicability of this approach simplifies one-loop matching from an ultraviolet model to a lower-energy effective field theory (EFT), a procedure which is now reduced to the evaluation of a combination of matrices in our universal expression, without any loop integrals to evaluate. We illustrate the relationship of our results to the Standard Model (SM) EFT, using as an example the supersymmetric stop and sbottom squark Lagrangian and extracting from our universal expression the Wilson coefficients of dimension-six operators composed of SM fields.

Original language	English
Article number	180
Number of pages	34
Journal	Journal of High Energy Physics
Volume	2016
Issue number	3
Early online date	25 Mar 2016
DOIs	https://doi.org/10.1007/JHEP03(2016)180
Publication status	Published - Mar 2016

Keywords

Beyond standard model
Effective field theories
Higgs physics

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AB - We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has been checked against partial results available in the literature. The broad applicability of this approach simplifies one-loop matching from an ultraviolet model to a lower-energy effective field theory (EFT), a procedure which is now reduced to the evaluation of a combination of matrices in our universal expression, without any loop integrals to evaluate. We illustrate the relationship of our results to the Standard Model (SM) EFT, using as an example the supersymmetric stop and sbottom squark Lagrangian and extracting from our universal expression the Wilson coefficients of dimension-six operators composed of SM fields.

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The universal one-loop effective action

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