NNLO QCD corrections to Higgs pair production via vector boson fusion at hadron colliders (1401.7754v3)

Abstract: The measurement of the Higgs pair production via vector boson fusion can be used to test the trilinear Higgs self-coupling and the $VVHH$ $(V=Z,W)$ quartic gauge interactions. In this paper we present the calculations of the next-to-next-to-leading-order QCD corrections to the SM Higgs boson pair production via vector boson fusion at hadron colliders with the center-of-mass energy of $14$, $33$, and $100 {\rm TeV}$ by using the structure function approach, and study the residual uncertainties from the factorization/renormalization scale, parton distribution functions and $\alpha_s$ on the total cross section. We also provide the distributions of transverse momenta, rapidities, invariant mass and azimuthal angle separations of final Higgs bosons. We observe a considerable quantitative reduction in the scale uncertainty due to the next-to-next-to-leading-order QCD corrections, and find that the total cross section is sensitive to the trilinear Higgs self-coupling.