English

New insights into two-loop running in effective field theories

High Energy Physics - Phenomenology 2025-12-04 v1 High Energy Physics - Theory

Abstract

We show that, by viewing a 4D effective-field theory as the infrared (IR) limit of the compactified version in 5D, we can compute two-loop anomalous dimensions without gauge-breaking counter-terms, IR re-arrangement or geometric methods. The ultraviolet (UV) divergences in 4D are read from the IR ones in the matching from 5D to 4D. We use this approach to cross-check recent results in the literature, as well as to compute novel two-loop anomalous dimensions in the SMEFT to dimension eight and certain critical exponents in the charged fixed point of the Abelian Higgs model at large number of flavors.

Keywords

Cite

@article{arxiv.2512.04064,
  title  = {New insights into two-loop running in effective field theories},
  author = {Mikael Chala and Javier López Miras},
  journal= {arXiv preprint arXiv:2512.04064},
  year   = {2025}
}

Comments

11 pages, 2 figures, 3 tables

R2 v1 2026-07-01T08:08:11.718Z