Threshold corrections in SMEFT

TL;DR

This paper computes comprehensive one-loop threshold corrections in dimension-six SMEFT, including tadpole effects and electroweak corrections, providing essential ingredients for precise RG analyses and matching to new physics models.

Contribution

It provides the complete analytic set of one-loop threshold corrections in SMEFT, including the full running of the strong coupling and decoupling constants, with implementation-ready results.

Findings

Loop corrections can shift parameters by up to 5%.

Tadpole effects and top-quark loops can enhance corrections.

Results are process-independent and suitable for public codes.

Abstract

Threshold corrections provide a universal link between experimentally measured broken-phase parameters and $\overline{\hbox{MS}}$ renormalised symmetric-phase parameters used in SMEFT renormalisation-group (RG) analyses and matching to new-physics models. In this work we compute in analytic form the complete set of one-loop threshold corrections in dimension-six SMEFT, using two electroweak input schemes and including tadpole effects in the Fleischer-Jegerlehner (FJ) scheme. As a by-product of the analysis, we obtain the full one-loop running of the strong coupling in SMEFT, including electroweak corrections, and the associated decoupling constants when the top quark and heavy electroweak bosons are integrated out. Although generally moderate, the loop-level dimension-six corrections can be enhanced through tadpole effects and top-quark loops, and can shift symmetric phase parameters at the 5% level under reasonable assumptions. Our results constitute a process-independent ingredient which can be readily implemented in public RG-running and matching codes in SMEFT.