Abstract
We examine the constraints on the trilinear Higgs coupling λ that originate from associated (V h) and vector boson fusion (VBF) Higgs production in pp collisions in the context of the Standard Model effective field theory. The 1-loop contributions to pp → Vh and pp → jjh that stem from insertions of the dimension-6 operator O6 = −λ (H†H)3 are calculated and combined with the mathcal{O}left(lambda right) corrections to the partial decay widths of the Higgs boson. Employing next-to-next-to-leading order QCD predictions, we analyse the sensitivity of current and forthcoming measurements of the signal strengths in Vh and VBF Higgs production to changes in λ. We show that future LHC runs may be able to probe modifications of λ with a sensitivity similar to the one that is expected to arise from determinations of double-Higgs production. The sensitivity of differential Vh and VBF Higgs distributions to a modified h3 coupling is also studied.
Highlights
√ O(0.1 fb) at 14 TeV centre-of-mass energy ( s) even the high-luminosity option of the LHC (HL-LHC) will only be able to set very loose bounds on the Higgs quartic
We examine the constraints on the trilinear Higgs coupling λ that originate from associated (V h) and vector boson fusion (VBF) Higgs production in pp collisions in the context of the Standard Model effective field theory
Within the SM effective field theory (SMEFT), we have calculated the O(λ) corrections to the pp → V h and pp → jjh amplitudes that arise from insertions of the operator O6 = −λ H†H 3 into
Summary
Physics beyond the SM (BSM) can be described in a model-independent fashion by supplementing the SM Lagrangian LSM by effective operators Ok of mass dimension six. Where the Wilson coefficients c6 and cH as well as the trilinear Higgs coupling λ are all understood to be evaluated at the weak scale hereafter denoted by μw. It is important to realise that the indirect probes of the trilinear Higgs coupling considered in our work measure c3, i.e. the coefficient multiplying the interaction term −λv h3 in the effective Higgs potential after EWSB. We do not consider effects of dimension-8 operators such as −λc8/v4 H†H 4.1 Under these model assumptions one obtains the simple relation c3 = 1 + c6 ,. We have verified that to the perturbative order considered here and in [31] the calculations of V h and VBF Higgs production in the SMEFT and the anomalous coupling framework agree exactly if the relation (2.4) is taken into account
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