Probing the $Hgg$ coupling through the jet charge correlation in Higgs boson decay

The effective coupling of the Higgs boson to gluons determines the production rate of the Higgs boson at the LHC and plays a crucial role to measure the Higgs properties. In this paper, we propose a novel method to extract the Higgs gluon gauge coupling information at the future lepton colliders, by utilizing the jet charge asymmetry of the two leading jets from the Higgs boson decay. Owing to the jet charge correlation nature of the Higgs decay products, we demonstrate that this asymmetry value would be close to one for the signal $H\to gg$, while it is always larger than one for the dominated backgrounds. With the help of the jet charge information, it is possible to constrain the Higgs gluon effective coupling very well in the future Higgs factory and this conclusion is not sensitive to the jet charge parameter $\kappa$.