Constraint of the Higgs boson self-coupling from Higgs boson differential production and decay measurements

This note sets constraints on the Higgs boson self-coupling exploiting single Higgs boson production. The Higgs boson cross sections, the branching fractions and the Higgs boson kinematics are affected by the Higgs-boson self coupling contribution through next to leading order electroweak corrections. The constraints are obtained by combining the data of the analyses targeting the $\gamma \gamma$, $ZZ^*$, $WW^*$, $\tau \tau$ and $b\bar{b}$ decay channels, collected at $\sqrt{s} = 13$ TeV, corresponding to an integrated luminosity of up to $80$ fb$^{-1}$. With the assumption that new physics affects only the Higgs boson self-coupling ($\lambda_{HHH}$), the ratio $\lambda_{HHH}/\lambda_{HHH}^{\textrm{SM}}$ is determined to be $\lambda_{HHH}/\lambda_{HHH}^{\textrm{SM}}=4.0^{+4.3}_{-4.1}$, excluding values outside the interval $-3.2<\lambda_{HHH}/\lambda_{HHH}^{\textrm{SM}}<11.9$ at the 95% C.L. Results with less stringent assumptions are also provided.