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We propose a method to determine the trilinear Higgs self coupling that isalternative to the direct measurement of Higgs pair production total crosssections and differential distributions. The method relies on the effects thatelectroweak loops featuring an anomalous trilinear coupling would imprint onsingle Higgs production at the LHC. We first calculate these contributions toall the phenomenologically relevant Higgs production ($gg{\rm F}$, VBF, $WH$,$ZH$, $t\bar tH$) and decay ($\gamma \gamma$, $WW^{*}/ZZ^{*}\to 4f$, $b\bar b$,$\tau \tau$) modes at the LHC and then estimate the sensitivity to thetrilinear coupling via a one-parameter fit to the single Higgs measurements atthe LHC 8 TeV. We find that the bounds on the self coupling are alreadycompetitive with those from Higgs pair production and will be further improvedin the current and next LHC runs.

Probing the Higgs self coupling via single Higgs production at the LHC