Light neutral Higgs-boson production at $$e +e -$$ e + e - colliders in the complex MSSM and NMSSM: a full one-loop analysis

Abstract For future precision analyses of the Higgs boson at $$\approx 125\,\, \textrm{GeV}$$ ≈ 125 GeV , $$h_{125}$$ h 125 , a precise knowledge of its production and decay properties is mandatory. While in the Standard Model (SM) these calculations are quite advanced, in many models beyond the SM (BSM) a precise calculation is missing so far. We present the calculation of the Higgs-strahlung cross-sections at $$e^+e^-$$ e + e - colliders for the light neutral Higgs boson production in the next-to-minimal supersymmetric SM (NMSSM) with complex parameters (cNMSSM). The evaluation is based on a full one-loop calculation of the production mechanism $$e^+e^- \rightarrow h_1 Z$$ e + e - → h 1 Z , including soft, hard, and collinear photon radiation. The dependence of the Higgs boson production cross-sections on the relevant cNMSSM parameters is analyzed numerically. In certain scenarios we find sizable corrections to the Higgs-strahlung cross-section. Normally, they reach about $$10\%$$ 10 % of the tree-level results, but can also exceed 20%. Finally, the calculation is compared to the corresponding one in the Minimal Supersymmetric SM (MSSM). The knowledge of the full one-loop contributions to the Higgs-boson production is particularly important for a sound theoretical interpretation of measurements at future $$e^+e^-$$ e + e - colliders such as the ILC, CLIC, LCF, FCC-ee, or CEPC. It is planned to implement the evaluation of the Higgs boson production cross-sections into an add-on package to the code FeynHiggs.