Abstract

We introduce and explore new heavy Higgs scenarios in the Minimal Supersymmetric Standard Model (MSSM) with explicit CP violation, which have important phenomenological implications that may be testable at the LHC. For soft supersymmetry-breaking scales M_S above a few TeV and a charged Higgs boson mass M_H+ above a few hundred GeV, new physics effects including those from explicit CP violation decouple from the light Higgs boson sector. However, such effects can significantly alter the phenomenology of the heavy Higgs bosons while still being consistent with constraints from low-energy observables, for instance electric dipole moments. To consider scenarios with a charged Higgs boson much heavier than the Standard Model (SM) particles but much lighter than the supersymmetric particles, we revisit previous calculations of the MSSM Higgs sector. We compute the Higgs boson masses in the presence of CP violating phases, implementing improved matching and renormalization group (RG) effects, as well as two-loop RG effects from the effective two-Higgs Doublet Model (2HDM) scale M_H+ to the scale M_S. We illustrate the possibility of non-decoupling CP-violating effects in the heavy Higgs sector using new benchmark scenarios named CPX4LHC.

Highlights

  • Our principal interest in new heavy Higgs boson benchmark scenarios is the possible manifestation of observable CP violation in the Higgs sector of the Minimal Supersymmetric Standard Model (MSSM)

  • We introduce and explore new heavy Higgs scenarios in the Minimal Supersymmetric Standard Model (MSSM) with explicit CP violation, which have important phenomenological implications that may be testable at the LHC

  • We present new MSSM scenarios with explicit CP violation that contain heavy Higgs bosons in the few to several hundred GeV range and are consistent with constraints from Run I of the LHC

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Summary

The CP-violating MSSM Higgs sector

We review the computation of the Higgs boson self-energies and pole masses and record the basic expressions used in CPsuperH3.0, that underlie our present analysis. We follow the conventions and notations of CPsuperH [26,27,28], unless stated otherwise explicitly. +λ6 Φ†1Φ1 Φ†1Φ2 + λ∗6 Φ†1Φ1 Φ†2Φ1 + λ7 Φ†2Φ2 Φ†1Φ2 + λ∗7 Φ†2Φ2 Φ†2Φ1 The relations between these and the conventional MSSM parameters are μ21 = −m21 − |μ|2 , λ3. The kinematic parameters as defined in [31] are related to ours as follows: m211 → −μ21 , λ1 → −2λ1 , λ5 → −2λ5 , g2 → g , m222 → −μ22 , λ2 → −2λ2 , λ6 → −λ6 , g1 → g m212 → +m212 , λ3 → −λ3 , λ7 → −λ7 , ···. The one-loop 2HDM RGEs are given in appendix A.2,2 and the two-loop 2HDM RGEs are given in refs. The one-loop 2HDM RGEs are given in appendix A.2,2 and the two-loop 2HDM RGEs are given in refs. [32, 33] and appendix A.3

Charged Higgs bosons
Neutral Higgs bosons
Matching conditions and RG running effects
Numerical results for the MSSM Higgs sector
CP-violating heavy Higgs scenarios
Conclusions
A Renormalization group equations and threshold corrections
SM RGEs
One-loop 2HDM RGEs
Threshold corrections to λi at MS

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