Work

General four-loop beta function for scalar-fermion theories in three dimensions

Year: 2026

Type: article

Abstract: We present general four-loop template \beta β -functions and anomalous field dimensions for renormalisable scalar-fermion theories in three dimensions. By imposing \mathcal{N}=1 𝒩 = 1 and \mathcal{N}=2 𝒩 = 2 supersymmetry, we obtain relations between the template RGE coefficients, valid in any renormalisation scheme. Directly in d=3 d = 3 , we identify a new theory with a non-trivial IR fixed point that is under perturbative control in a large- N N limit. We provide up-to-date numerical results for all required massive tadpole master integrals up to four loops and complement them with analytic expressions where available.

Source: SciPost Physics

DOI: 10.21468/scipostphys.20.6.168

Authors: York Schröder, Emmanuel Stamou, Tom Steudtner, Max Uetrecht

Institutions: TU Dortmund University, University of Bío-Bío

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Studienstiftung des Deutschen Volkes, Mercator Research Center Ruhr, Agencia Nacional de Investigación y Desarrollo

Awards: G112229783, PRECISION PARTICLE PHYSICS FROM MULTI-LOOP TADPOLES TO APPLICATIONS, QASAR: QUANTUM ALGORITHMS FOR SIMPLIFYING AND ACCELERATING REDUCTIONS IN HIGH ENERGY PHYSICS