Measuring the Higgs Boson Self-Coupling at the Large Hadron Collider

Inclusive standard model Higgs boson pair production and subsequent decay to same-sign dileptons via weak gauge $W^{\pm }$ bosons at the CERN Large Hadron Collider (LHC) has the capability to determine the Higgs boson self-coupling, $\lambda$. The large top quark mass limit is found not to be a good approximation for the signal if one wishes to utilize differential distributions in the analysis. We find that it should be possible at the LHC with design luminosity to establish that the standard model Higgs boson has a nonzero self-coupling and that $\lambda /{\lambda }_{\mathrm{S}\mathrm{M}}$ can be restricted to a range of 0–3.7 at $95\%$ confidence level if its mass is between 150 and 200 GeV.