Abstract
We develop Standard Model Effective Field Theory (SMEFT) predictions of σ(\( \mathcal{GG} \) → h), Γ(h → \( \mathcal{GG} \)), Γ(h → \( \mathcal{AA} \)) to incorporate full two loop Standard Model results at the amplitude level, in conjunction with dimension eight SMEFT corrections. We simultaneously report consistent Γ(h → \( \overline{\Psi}\Psi \)) results including leading QCD corrections and dimension eight SMEFT corrections. This extends the predictions of the former processes Γ, σ to a full set of corrections at \( \mathcal{O}\left({\overline{v}}_T^2/{\varLambda}^2{\left(16{\pi}^2\right)}^2\right) \) and \( \mathcal{O}\left({\overline{v}}_T^4/{\Lambda}^4\right) \), where \( {\overline{v}}_T \) is the electroweak scale vacuum expectation value and Λ is the cut off scale of the SMEFT. Throughout, cross consistency between the operator and loop expansions is maintained by the use of the geometric SMEFT formalism. For Γ(h → \( \overline{\Psi}\Psi \)), we include results at \( \mathcal{O}\left({\overline{v}}_T^2/{\Lambda}^2\left(16{\pi}^2\right)\right) \) in the limit where subleading mΨ → 0 corrections are neglected. We clarify how gauge invariant SMEFT renormalization counterterms combine with the Standard Model counter terms in higher order SMEFT calculations when the Background Field Method is used. We also update the prediction of the total Higgs width in the SMEFT to consistently include some of these higher order perturbative effects.
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Acknowledgments
We thank B. Anastasiou, G. Buchalla, L. Dixon, C. Duhr, A. Helset, A. Manohar, K. Mimasu, B. Mistlberger, M. Spira and E. Vryonidou for helpful discussion and correspondence. M.T. acknowledges support from the Villum Fund, project number 00010102, Caltech and Mark Wise for financial support. The work of A.M. was supported in part by the National Science Foundation under Grant Number PHY-2112540.
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Martin, A., Trott, M. More accurate \( \sigma \left(\mathcal{GG}\to h\right),\Gamma \left(h\to \mathcal{GG},\mathcal{AA},\overline{\Psi}\Psi \right) \) and Higgs width results via the geoSMEFT. J. High Energ. Phys. 2024, 170 (2024). https://doi.org/10.1007/JHEP01(2024)170
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DOI: https://doi.org/10.1007/JHEP01(2024)170