Complete two-loop QCD contributions to the lightest Higgs-boson mass in the MSSM with complex parameters

Understand

Higher-order corrections to the MSSM Higgs-boson masses are desirable for accurate predictions currently testable at the LHC.

• By comparing the prediction with the measured value of the discovered Higgs signal, viable parameter regions can be inferred.
• For an improved theory accuracy, we compute all two-loop corrections involving the strong coupling for the Higgs-boson mass spectrum of the MSSM with complex parameters.
• Apart from the dependence on the strong coupling, these contributions depend on the weak coupling and Yukawa couplings, leading to terms of $\mathcal{O}{\left(\alpha\alpha_s\right)}$ and $\mathcal{O}{\left(\sqrt{\alpha_{q_1}}\sqrt{\alpha_{q_2}}\alpha_s\right)}$, ($q_{1,2}=t,b,c,s,u,d$).