Higgs boson self-coupling constraints from single Higgs, double Higgs and Electroweak measurements

Abstract

We set constraints on the trilinear Higgs boson self-coupling, $λ_3$, by combining the information coming from the $W$ mass and leptonic effective Weinberg angle, electroweak precision observables, with the single Higgs boson analyses targeting the $γγ,\, ZZ^*,\, WW^*, \,τ^+ τ^-$ and $\bar{b} b$ decay channels and the double Higgs boson analyses in the $b\bar{b}b\bar{b}, \, b\bar{b}b τ^+ τ^-$ and $b\bar{b}b γγ$ decay channels, performed by the ATLAS collaboration. With the assumption that the new physics affects only the Higgs potential, values outside the interval $ -1.8\, λ_3^{\rm SM} < λ_3 < 9.2 \, λ_3^{\rm SM}$ are excluded at $95\%$ confidence level. With respect to similar analyses that do not include the information coming from the electroweak precision observables our analysis shows a stronger constraint on both positive and negative values of $λ_3$.