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We study the impact of dimension-six operators on single- and double-Higgsproduction rates via gluon fusion at the Large Hadron Collider (LHC). If thetop-Yukawa coupling is modified by some new physics whose scale is of the TeVscale, its effect changes the cross sections of single-Higgs production $gg\toH$ and double-Higgs production $gg\to HH$ through the top-loop diagram. Inparticular, double-Higgs production can receive significant enhancement fromthe effective top-Yukawa coupling and the new dimension-five coupling $t{\bart}HH$ which are induced by the dimension-six operator. Comparing these resultsto the forthcoming data at the LHC, one can extract information of thedimension-six operators relevant to the top quark and the Higgs boson.

Effects of the anomalous Higgs couplings on the Higgs boson production at the Large Hadron Collider