Abstract

For the search for additional Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM) as well as for future precision analyses in the Higgs sector a precise knowledge of their production properties is mandatory. We evaluate the cross sections for the neutral Higgs boson production at e^+e^- colliders in the MSSM with complex parameters (cMSSM). The evaluation is based on a full one-loop calculation of the production channels e^+e^- -> h_i Z, h_i gamma, h_i h_j (i,j = 1,2,3), including soft and hard QED radiation. The dependence of the Higgs boson production cross sections on the relevant cMSSM parameters is analyzed numerically. We find sizable contributions to many cross sections. They are, depending on the production channel, roughly of 10-20% of the tree-level results, but can go up to 50% or higher. The full one-loop contributions are important for a future linear e^+e^- collider such as the ILC or CLIC. There are plans to implement the evaluation of the Higgs boson production cross sections into the code FeynHiggs.

Highlights

  • The discovery of a new particle with a mass of about 125 GeV in the Higgs searches at the Large Hadron Collider (LHC), which has been announced by ATLAS [1] and CMS [2], marks the culmination of an effort that has been ongoing for almost half a century and opens a new era of particle physics

  • The Higgs sector of the cMSSM is described at the tree level by two parameters: the mass of the charged Higgs boson, MH±, and the ratio of the two vacuum expectation values, tan β ≡ tβ = v2/v1

  • In this paper we present for the first time a full and consistent one-loop calculation for neutral cMSSM Higgs boson production at e+e− colliders in association with a Standard Model (SM) gauge boson or another cMSSM Higgs boson

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Summary

Introduction

The discovery of a new particle with a mass of about 125 GeV in the Higgs searches at the Large Hadron Collider (LHC), which has been announced by ATLAS [1] and CMS [2], marks the culmination of an effort that has been ongoing for almost half a century and opens a new era of particle physics. Decays to (lighter) Higgs bosons have been evaluated at the full one-loop level in the cMSSM in Ref. Corrections at and beyond the one-loop level in the MSSM with real parameters (rMSSM) are implemented into the code HDECAY [51,52,53] Both codes were combined by the LHC Higgs Cross Section Working Group to obtain the most precise evaluation for rMSSM Higgs boson decays to SM particles and decays to lighter Higgs bosons [54]. [29], where the third-generation (s)fermion contributions to the production vertex as well as Higgs boson propagator corrections were taken into account Another full one-loop calculation of e+e− → h Z was given in Ref.

The complex MSSM
Calculation of diagrams
Contributing diagrams
S hi V hj e VF eF hi hi
VF eF γ e S hi FS eS γ hi γ e
Ultraviolet divergences
Infrared divergences
Collinear divergences
Comparisons
Numerical analysis
Parameter settings
Findings
Conclusions
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