Full O(αew) electroweak corrections to e+e-→HHZ

We calculate the full O(αew) electroweak corrections to the Higgs pair production process e+e-→HHZ at an electron-positron linear collider in the standard model, and analyze the dependence of the Born cross section and the corrected cross section on the Higgs boson mass mH and the c.m. energy √s. To see the origin of some of the large corrections clearly, we calculate the QED and genuine weak corrections separately. The numerical results show that the corrections significantly suppress or enhance the Born cross section, depending on the values of mH and √s. For the c.m. energy √s=500 GeV, which is the most favorable colliding energy for HHZ production with intermediate Higgs boson mass, the relative correction decreases from -5.3% to -11.5% as mH increases from 100 to 150 GeV. For the range of the c.m. energy where the cross section is relatively large, the genuine weak relative correction is small, less than 5%