When Two Loops Matter: Electroweak Precision in the SMEFT

Abstract

We identify a novel next-to-leading order renormalization effect in the dimension-six SMEFT with direct phenomenological impact. The Higgs-Yukawa operator that modifies the top-Higgs coupling t induces a shift in the W mass at two-loop order through a large anomalous dimension, rendering electroweak precision observables a powerful indirect probe of t. We show that this effect is essential for the consistent interpretation of data from future Tera-Z and Giga-W factories such as FCC-ee. The effect is realized in a simple renormalizable two-Higgs doublet model.

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