Radiative corrections for ZH production at electron-positron colliders

Current experimental measurements on higgs boson properties are consistent with the Standard Model(SM) predictions, but large experimental uncertainties still leave room for the possibility of new physics. To reduce experimental uncertainties, a so-called "Higgs factory" has been proposed. The main production channel of Higgs is the Higgsstrahlung process, $e^+e^-\to ZH$, which is projected to be measured with sub-percent level precision at these facilities.

Reducing the theoretical uncertainty to the same level as experimental one is crucial to prevent theoretical errors from over-dominating when extracting higgs couplings. Radiative corrections are a major source of theoretical uncertainty, and this thesis focuses on the largest missing contribution, the next-to-next-to-leading order(NNLO) electroweak corrections.

Moreover, the increasing experimental accuracy will impose more and more stringent bounds on new physics. The thesis also investigates one specific type of new physics, fermionic dark matter, as a possible explanation for potential deviations on the cross section of the Higgsstrahlung process, and explores the parameter space that may be detected at future Large Hadron Collider(LHC).

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