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arXiv · 1702.01737

Constraints on the trilinear Higgs self coupling from precision observables

Giuseppe Degrassi·Marco Fedele·Pier Paolo Giardino
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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 $m_{ \scriptscriptstyle W}$ and $\mbox{$\sin^2 θ^{\rm lep}_{\rm eff}$}$ is performed in a theory in which the scalar potential in the Standard Model Lagrangian is modified by an (in)finite tower of $(Φ^\dagger Φ)^n$ 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.

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Giuseppe Degrassi, Marco Fedele, Pier Paolo Giardino. 2017-05-04. Constraints on the trilinear Higgs self coupling from precision observables. https://doi.org/10.1007/jhep04(2017)155

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