Perturbative lattice artefacts in the SF coupling for technicolor-inspired models

TL;DR

This paper investigates lattice artefacts in the Schrödinger functional coupling within technicolor-inspired models, aiming to improve the accuracy of renormalisation group studies for conformal behaviour detection.

Contribution

It provides a perturbative analysis of lattice artefacts in SF coupling schemes, proposing methods to reduce cutoff effects in lattice simulations of technicolor models.

Findings

Identification of perturbative lattice artefacts in SF coupling

Analysis of setup configurations to minimize cutoff effects

Guidance for more accurate non-perturbative studies

Abstract

Viable candidate theories for electroweak dynamical symmetry breaking are expected to show (near) conformal behaviour in order to accommodate current phenomenological constraints. In principle, renormalisation group studies using finite volume renormalisation schemes are well-suited to verify this property in a given model. The most practical schemes are based on the Schrodinger functional (SF), but suffer from potentially large O(a) effects. Some care has to be taken to remove these effects and to set up a scheme where cutoff effects are small and under control. We here take a step in this direction by analysing various set-ups for the SF coupling at one-loop order in perturbation theory.