Abstract
We present the constraints on the trilinear Higgs self coupling that arise from loop effects in the W boson mass and the effective sine predictions. We compute the contributions to these precision observables of two-loop diagrams featuring an anomalous trilinear Higgs self coupling. We explicitly show that the same anomalous contributions are found if the analysis of mW and sin2θefflep is performed in a theory in which the scalar potential in the Standard Model Lagrangian is modified by an (in)finite tower of (Φ†Φ)n terms with Φ the Higgs doublet. We find that the bounds on the trilinear Higgs self coupling from precision observables are competitive with those coming from Higgs pair production.
Highlights
The experimental verification of these relations, that fully characterize the SM as a renormalizable Quantum Field Theory, relies on the measurements of processes featuring at least two Higgs bosons in the final state
We present the constraints on the trilinear Higgs self coupling that arise from loop effects in the W boson mass and the effective sine predictions
We explicitly show that the same anomalous contributions are found if the analysis of mW and sin2 θeleffp is performed in a theory in which the scalar potential in the Standard Model Lagrangian is modified by anfinite tower of (Φ†Φ)n terms with Φ the Higgs doublet
Summary
The experimental verification of these relations, that fully characterize the SM as a renormalizable Quantum Field Theory, relies on the measurements of processes featuring at least two Higgs bosons in the final state. In order to constrain the trilinear Higgs self coupling, a complementary strategy based on the precise measurements of single Higgs production and decay processes was recently proposed In this approach the effects induced at the loop level on single Higgs processes by a modified λ3 coupling are studied. This approach builds on the assumption that New Physics (NP) couples to the SM via the Higgs potential in such a way that the lowestorder Higgs couplings to the other fields of the SM (and in particular to the top quark and vector bosons) are still given by the SM prescriptions or, equivalently, modifications to these couplings are so small that do not swamp the loop effects one is considering This strategy was first applied to ZH production at an e+e− collider in ref. We show that the use of the unitary gauge in the anomalous coupling approach does not introduce any gauge-dependent problematics
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