Zhaoxia Heng, Liangliang Shang, Peihua Wan
In this work we investigate the Higgs pair production in the MSSM and NMSSM at the ILC. We consider various experimental constraints and scan over the parameter space of the MSSM and NMSSM. Then we calculate the cross section of Higgs pair production in the allowed parameter space and compare the results with the predictions in the SM. We find that the enhancement of the cross section is mainly due to the contributions from loops mediated by the top-squark. For a large trilinear soft breaking parameter $A_t$ and a moderately light top-squark, the production rate can be enhanced by a factor of 1.4 in the MSSM and 2 in the NMSSM (relative to the SM prediction). Moreover, we also calculate the $\chi^2$ values with the LHC Higgs data and display the results for the parameter space with $\chi^2$ better than the SM value.
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http://arxiv.org/abs/1306.0279
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