The remaining theoretical uncertainties from unknown higher-order corrections in the prediction for the light Higgs-boson mass of the MSSM are estimated. The uncertainties associated with three different approaches that are implemented in the publicly available code FeynHiggs are compared: the fixed-order diagrammatic approach, suitable for low SUSY scales, the effective field theory (EFT) approach, suitable for high SUSY scales, and the hybrid approach which combines the fixed-order and the EFT approaches. It is demonstrated for a simple single-scale scenario that the result based on the hybrid approach yields a precise prediction for low, intermediate and high SUSY scales with a theoretical uncertainty of up to \(\sim 1.5\,\, \mathrm {GeV}\) for large stop mixing and \(\sim 0.5\,\, \mathrm {GeV}\) for small stop mixing. The uncertainty estimate of the hybrid calculation approaches the uncertainty estimate of the fixed-order result for low SUSY scales and the uncertainty estimate of the EFT approach for high SUSY scales, while for intermediate scales it is reduced compared to both of the individual results. The estimate of the theoretical uncertainty is also investigated in scenarios with more than one mass scale. A significantly enhanced uncertainty is found in scenarios where the gluino is substantially heavier than the scalar top quarks. The uncertainty estimate presented in this paper will be part of the public code FeynHiggs.

在对MSSM的希格斯玻色子质轻量的预测中，估计了来自未知高阶校正的剩余理论不确定性。比较了可在公开代码FeynHiggs中实现的与三种不同方法相关的不确定性：适用于低SUSY比例尺的固定阶图解法，适用于高SUSY比例尺的有效场论（EFT）方法以及混合动力固定顺序和EFT方法相结合的方法。对于简单的单尺度场景，证明了基于混合方法的结果可对低，中和高SUSY尺度进行精确的预测，其理论不确定性最高为\（\ sim 1.5 \，\，\ mathrm {GeV } \）用于大停顿混合，以及\（\ sim 0.5 \，\，\ mathrm {GeV} \）进行小混音。对于低SUSY标度，混合计算的不确定性估计接近固定顺序结果的不确定性估计，对于高SUSY标度，EFT方法的不确定性估计接近中间尺度，与两个单独的结果相比，该不确定性估计都减小了。理论不确定性的估计也将在超过一个质量规模的场景中进行研究。在胶粘剂比标量顶夸克实质上重的情况下，发现不确定性大大增加。本文提出的不确定性估计将成为公共代码FeynHiggs的一部分。