Mixed electroweak-QCD corrections to ${e^+e^-\to \mu^+\mu^- H}$ at CEPC with finite-width effect

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Wen Chen;Feng Feng;Yu Jia;Wen-Long Sang. Mixed electroweak-QCD corrections to ${e^+e^-\to \mu^+\mu^- H}$ at CEPC with finite-width effect[J]. Chinese Physics C.
Wen Chen;Feng Feng;Yu Jia;Wen-Long Sang. Mixed electroweak-QCD corrections to ${e^+e^-\to \mu^+\mu^- H}$ at CEPC with finite-width effect[J]. Chinese Physics C. shu
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Received: 2018-04-11
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Mixed electroweak-QCD corrections to ${e^+e^-\to \mu^+\mu^- H}$ at CEPC with finite-width effect

Abstract: The associated production of Higgs boson with a muon pair, $e^+e^-\to \mu^+\mu^- H$, is one of the golden channels to pin down the properties of the Higgs boson in the prospective Higgs factories exemplified by {CEPC}. The projected accuracy of the corresponding cross section measurement is about per cent level at CEPC. In this work, we investigate both ${\mathcal O}(\alpha)$ weak correction and the ${\mathcal O}(\alpha\alpha_s)$ mixed electroweak-QCD corrections for this channel, appropriately taking into account the effect of finite $Z^0$ width. The $\mu^+\mu^-$ invariant mass spectrum is also predicted. The mixed electroweak-QCD correction turns out to reach 1.5\% of the Born-order result, and thereby must be included in future confrontation with the data. We also observe that, after including higher-order corrections, the simplified prediction for the integrated cross section employing the narrow-width-approximation may deviate from our full result by a few per cents.

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