Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$

Ulrich Haisch; Marco Niggetiedt

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arXiv · 2507.20803

Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$

Ulrich Haisch·Marco Niggetiedt

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Abstract

We compute the two-loop contributions to Higgs production via gluon-gluon fusion ($gg \to h$) and Higgs decay into two photons ($h \to \gamma\gamma$), arising from third-generation four-quark operators in the Standard Model effective field theory (SMEFT). Our analysis is performed in the broken phase of the theory, retaining the full dependence on the Higgs and heavy-quark masses. This includes both finite matching corrections and logarithmic effects stemming from the renormalization group evolution within the SMEFT. As a byproduct, new two-loop anomalous dimensions in the SMEFT are obtained. We also briefly discuss the phenomenological implications of our two-loop calculations.

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Ulrich Haisch, Marco Niggetiedt. 2025-07-28. Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$. https://arxiv.org/abs/2507.20803

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