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

Borowka, Sophia; Weiglein, Georg; Paßehr, Sebastian

doi:10.1140/epjc/s10052-018-6055-y

Article
Report number	arXiv:1802.09886 ; CERN-TH-2017-081 ; DESY-17-066 ; DESY--17--066
Title	Complete two-loop QCD contributions to the lightest Higgs-boson mass in the MSSM with complex parameters
Author(s)	Borowka, Sophia (CERN) ; Paßehr, Sebastian (DESY ; Paris, LPTHE) ; Weiglein, Georg (DESY)
Publication	2018-07-14
Imprint	2018-02-27
Number of pages	22
Note	* Temporary entry * 29 pages, 15 figures, corrected misleading statement
In:	Eur. Phys. J. C 78 (2018) 576
DOI	10.1140/epjc/s10052-018-6055-y
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	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 $\mathcal{O}{\left(\sqrt{\alpha_{q_1}}\sqrt{\alpha_{q_2}}\alpha_s\right)}$, ($q_{1,2}=t,b,c,s,u,d$). The full dependence on the external momentum and all relevant mass scales is taken into account. The calculation is performed in the Feynman-diagrammatic approach which is flexible in the choice of the employed renormalization scheme. For the phenomenological results presented here, a renormalization scheme consistent with higher-order corrections included in the code $\texttt{FeynHiggs}$ is adopted. For the evaluation of the results, a total of $513$ two-loop two-point integrals with up to five different mass scales are computed fully numerically using the program $\texttt{SecDec}$. A comparison with existing results in the limit of real parameters and/or vanishing external momentum is carried out, and the impact on the lightest Higgs-boson mass is discussed, including the dependence on complex phases. The new results will be included in the public code $\texttt{FeynHiggs}$.
Copyright/License	publication: (License: CC-BY-4.0) preprint: (License: arXiv nonexclusive-distrib 1.0)

$Types of two-loop self-energy diagrams for the neutral Higgs bosons. One-loop counterterm insertions are denoted by a cross. \mbox{$\Phi_{i} = h,\,H,\,A$}; \mbox{$\;\tilde{q} \neq \tilde{o}$}. Topologies~$11$ and~$13$ contain a one-point loop with a mass-less gluon and are therefore equal to zero.$ $Types of two-loop self-energy diagrams for the neutral Higgs bosons. One-loop counterterm insertions are denoted by a cross. \mbox{$\Phi_{i} = h,\,H,\,A$}; \mbox{$\;\tilde{q} \neq \tilde{o}$}. Topologies~$11$ and~$13$ contain a one-point loop with a mass-less gluon and are therefore equal to zero.$ $Types of two-loop self-energy diagrams for the neutral Higgs bosons. One-loop counterterm insertions are denoted by a cross. \mbox{$\Phi_{i} = h,\,H,\,A$}; \mbox{$\;\tilde{q} \neq \tilde{o}$}. Topologies~$11$ and~$13$ contain a one-point loop with a mass-less gluon and are therefore equal to zero.$ Show more plots

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