Abstract

We study the next-to-leading order electroweak corrections to Higgs processes from dimension-six top-quark operators in the Standard Model Effective Field Theory approach. We consider the major production channels, including W H, ZH, and VBF production at the LHC, and ZH, VBF production at future lepton colliders, as well as the major decay channels including H → γγ, γZ, W lν, Zll, boverline{b} , μμ, ττ . The results show that within the current constraints, top-quark operators can shift the signal strength of the loop-induced processes, i.e. H → γγ, γZ, by factors of sim mathcal{O}(1)-mathcal{O}(10) , and that of the tree-level processes, i.e. all remaining production and decay channels, by ∼ 5 − 10% at the LHC, and up to ∼ 15% at future lepton colliders. This implies that essentially all Higgs channels have started to become sensitive to top-quark couplings, and in particular, Higgs observables at high luminosity LHC as well as future lepton colliders, even below the toverline{t} threshold, will improve our knowledge of top-quark couplings. We derive the sensitivities of Higgs measurements to top-quark operators at the high luminosity LHC, using projections for both inclusive and differential measurements. We conclude that treating the dimension-six top-quark sector and the Higgs/electroweak sector separately may not continue to be a good strategy. A global analysis combining Higgs and top-quark measurements is desirable, and our calculation and implementation provide an automatic and realistic simulation tool for this purpose.

Highlights

  • To answer these two questions, in this work we compute the EW loop-induced contributions from dim-6 top-quark two-fermion operators in the following main Higgs production and decay processes: production at LHC: VBF, W H, ZH production at lepton collider: ZH, VBF decay: H → γγ, γZ, W lν, Zll, bb, μ+μ−, τ +τ −

  • We have studied the major production channels including VBF, W H and ZH at the LHC, ZH and VBF at e+e− colliders, and the major decay channels including H → γγ, γZ, Zll, W lν, bb, μμ, τ τ

  • These results are part of the ongoing efforts of automating SMEFT simulations for colliders at next-to-leading order (NLO), and is a first step towards including EW corrections. These results allow us to study whether the Higgs measurements at the LHC and future colliders are sensitive to possible deviations in the top-quark sector

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Summary

Operators

Where we consider CP-even operators only. Two classes of operators are relevant in this work. Note that in the Warsaw basis [51], top quark operators could mix into light-fermion operators, in particular the ones that involve EW gauge bosons This is slightly inconvenient for a study of the loop-induced Higgs couplings, as some of the counter terms manifest as light-fermion interactions. These effects turn out to be universal, in the sense that they can be captured by dim-6 operators which involve SM bosons only, up to suitable field redefinitions [56]. Throughout the paper we will refer to the first class (eq (2.2)) as top operators, and the second (eq (2.5)) as Higgs operators

Calculation and renormalisation
SM renormalisation
Counter terms
Numerical results
TeV2 Λ2 μij j
TeV2 Λ2
Impact on Higgs measurements at the LHC
Impact on Higgs measurements at the future lepton colliders
Potential at high luminosity LHC
Improvements with differential distributions
Conclusion
Findings
A More numerical results
Full Text
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