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arXiv · 2512.04064

New insights into two-loop running in effective field theories

Mikael Chala·Javier López Miras
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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.

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Mikael Chala, Javier López Miras. 2025-12-03. New insights into two-loop running in effective field theories. https://arxiv.org/abs/2512.04064

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