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Higgs boson production associated with a top quark pair is an importantprocess in studying the nature of the newly discovered Higgs boson at the LHC.In this letter, we report on our calculations including the next-to-leadingorder (NLO) QCD and NLO electroweak corrections to the $pp\to t\bar{t}H$process in the standard model. We present the integrated cross sections at the$14~{\rm TeV}$ LHC and even at the future proton-proton colliders with$\sqrt{s}=33$ and $100~{\rm TeV}$. Our calculation includes the top quarksubsequent decays by adopting the narrow width approximation. The kinematicdistributions of Higgs boson and top quark decay products at the LHC areprovided. We find that the ${\cal O}(\alpha_s^2\alpha_{ew}^2)$ corrections arequantitatively comparable with the ${\cal O}(\alpha_s^3\alpha_{ew})$corrections in some kinematic region.

QCD NLO and EW NLO corrections to $t\bar{t}H$ production with top quark decays at hadron collider