Two-loop mathcal{O} ( {alpha}_t^2 ) corrections to the neutral Higgs boson masses in the CP-violating NMSSM

Thi Nhung Dao,Marcel Krause,Margarete Mühlleitner,Ramona Gröber,Heidi Rzehak

doi:10.1007/jhep08(2019)114

Abstract

We present our calculation of the two-loop corrections of mathcal{O} ( {alpha}_t^2 ) to the neutral Higgs boson masses of the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM). The calculation is performed in the Feynman diagrammatic approach in the gaugeless limit at vanishing external momentum. We apply a mixed overline{mathrm{DR}} -on-shell (OS) renormalization scheme for the NMSSM input parameters. Furthermore, we exploit a overline{mathrm{DR}} as well as an OS renormalization in the top/stop sector. The corrections are implemented in the Fortran code NMSSMCALC for the calculation of the Higgs spectrum both in the CP-conserving and CP-violating NMSSM. The code also provides the Higgs boson decays including the state-of-the-art higher-order corrections. The corrections computed in this work improve the already available corrections in NMSSMCALC which are the full one-loop corrections without any approximation and the two-loop mathcal{O} (αtαs) corrections in the gaugeless limit and at vanishing external momentum. Depending on the chosen parameter point, we find that the O(αtαs + {alpha}_t^2 ) corrections add about 4-7% to the one-loop mass of the SM-like Higgs boson for overline{mathrm{DR}} renormalization in the top/stop sector and they reduce the mass by about 6-9% if OS renormalization is applied. For an estimate of the theoretical uncertainty we vary the renormalization scale and change the renormalization scheme and show that care has to be taken in the corresponding interpretation.

Highlights

Supersymmetric theories [1,2,3,4,5,6,7,8,9,10,11,12,13,14] belong to the best motivated and most intensively studied extensions of the Standard Model (SM)
We present our calculation of the two-loop corrections of O(αt2) to the neutral Higgs boson masses of the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM)
Since the O(m2t αt2) corrections are equivalent in the Minimal Supersymmetric extension of the SM (MSSM) and the NMSSM with μ in the MSSM identified as μeff in the NMSSM and with further contributions of O(αt2) neglected, we found agreement after adapting the counterterms for the weak mixing angle and the vacuum expectation value to the renormalization scheme applied in FeynHiggs, see for example [82], ensuring the same input values

Summary

Introduction

Supersymmetric theories [1,2,3,4,5,6,7,8,9,10,11,12,13,14] belong to the best motivated and most intensively studied extensions of the Standard Model (SM). The tree-level mass value of the SM-like Higgs boson is bound to be of the order of the electroweak scale. In the Minimal Supersymmetric extension of the SM (MSSM) [15,16,17,18] it is less than or equal to the Z-boson mass This upper bound is lifted to higher values after the inclusion of the radiative corrections to the Higgs boson masses. In order to match the measured mass value of 125 GeV of the discovered Higgs boson large values of the stop masses and/or mixing are required. This challenges the model from the point of view of fine-tuning. The introduction of a complex singlet superfield coupling with the strength λ to the two Higgs doublet superfields of the MSSM, adds new contributions to the quartic coupling so that the tree-level mass of the lightest CP-even MSSM-like Higgs boson is shifted to a higher value

Results

Discussion

Conclusion