We calculate the complete one-loop electroweak corrections to the inclusive $H\to ZZ$ and $H\to Z\gamma$ decays in the dimension-6 extension of the Standard Model Effective Field Theory (SMEFT). The corrections to $H\to ZZ$ are computed for on-shell $Z$ bosons and are a precursor to the physical $H\to Zf\overline{f}$ calculation. We present compact numerical formulas for our results and demonstrate that the logarithmic contributions that result from the renormalization group evolution of the SMEFT coefficients are larger than the finite next-to-leading-order contributions to the decay widths. As a byproduct of our calculation, we obtain the first complete result for the finite corrections to $G_{\mu }$ in the SMEFT.

• Received 13 January 2018

DOI:https://doi.org/10.1103/PhysRevD.97.093003

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Published by the American Physical Society