Determining the Higgs boson self-coupling at hadron colliders

Inclusive standard model Higgs boson pair production at hadron colliders has the capability to determine the Higgs boson self-coupling l . We present a detailed analysis of the gg→HH→(W1W2)(W1W2) →( j j,n)( j j,8n) and gg→HH→(W1W2)(W1W2)→( j j,n)(,8n,9n) (, ,,8,,95e ,m) signal channels, and the relevant background processes, for the CERN Large Hadron Collider, and a future Very Large Hadron Collider operating at a center-of-mass energy of 200 TeV. We also derive quantitative sensitivity limits for l . 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 l/lSM can be restricted to a range of 0–3.8 at 95% confidence level ~C.L.! if its mass is between 150 and 200 GeV. At a 200 TeV collider with an integrated luminosity of 300 fb, l can be determined with an accuracy of 8–25 % at 95% C.L. in the same mass range.