Abstract

We provide the complete set of predictions needed to achieve NLO accuracy in the Standard Model Effective Field Theory at dimension six for Higgs production in gluon fusion. In particular, we compute for the first time the contribution of the chromomagnetic operator {overline{Q}}_LvarPhi sigma {q}_RG at NLO in QCD, which entails two-loop virtual and one-loop real contributions, as well as renormalisation and mixing with the Yukawa operator {varPhi}^{dagger}varPhi {overline{Q}}_LvarPhi {q}_R and the gluon-fusion operator Φ†Φ GG. Focusing on the top-quark-Higgs couplings, we consider the phenomenological impact of the NLO corrections in constraining the three relevant operators by implementing the results into the MadGraph5_aMC@NLO frame-work. This allows us to compute total cross sections as well as to perform event generation at NLO that can be directly employed in experimental analyses.

Highlights

  • We provide the complete set of predictions needed to achieve NLO accuracy in the Standard Model Effective Field Theory at dimension six for Higgs production in gluon fusion

  • We note here that results for single Higgs and H +j production in the SMEFT were presented at leading order (LO) in QCD in ref

  • Since the NLO corrections for the other two (CP -even) operators entering the same process are available in the literature, this calculation completes the SMEFT predictions for this process at the NLO accuracy

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Summary

Introduction

Focusing on possibly anomalous contributions in top-quark-Higgs interactions, we consider the phenomenological impact of the NLO corrections, including the Yukawa operator and the gluon-fusion operator at NLO by implementing the respective virtual two-loop matrix elements into the MadGraph aMC@NLO framework [54]. This allows us to compute total cross sections as well as to perform event generation at NLO plus parton shower (NLO+PS) that can be directly employed in experimental analyses

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