Naturalness of scale-invariant NMSSMs with and without extra matter

Abstract

We present a comparative and systematic study of the fine tuning in Higgs sectors in three scale-invariant NMSSM models: the first being the standard $Z_3$-invariant NMSSM; the second is the NMSSM plus additional matter filling $3(5+\bar{5})$ representations of SU(5) and is called the NMSSM+; while the third model comprises $4(5+\bar{5})$ and is called the NMSSM++. Naively, one would expect the fine tuning in the plus-type models to be smaller than that in the NMSSM since the presence of extra matter relaxes the perturbativity bound on $\lambda$ at the low scale. This, in turn, allows larger tree-level Higgs mass and smaller loop contribution from the stops. However we find that LHC limits on the masses of sparticles, especially the gluino mass, can play an indirect, but vital, role in controlling the fine tuning. In particular, working in a semi-constrained framework at the GUT scale, we find that the masses of third generation stops are always larger in the plus-type models than in the NMSSM without extra matter. This is an RGE effect which cannot be avoided, and as a consequence the fine tuning in the NMSSM+ ($\Delta \sim 200$) is significantly larger than in the NMSSM ($\Delta \sim 100$), with fine tuning in the NMSSM++ ($\Delta \sim 600$) being significantly larger than in the NMSSM+.

31 pages, 22 figures, published version

References in corpus (9)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• NMSPEC: A Fortran code for the sparticle and Higgs masses in the NMSSM with GUT scale boundary conditions
• Search for squarks and gluinos in events with isolated leptons, jets and missing transverse momentum at $\sqrt{s}=8$ TeV with the ATLAS detector
• Low fine tuning in the MSSM with higgsino dark matter and unification constraints
• Bayesian naturalness of the CMSSM and CNMSSM
• A precision study of the fine tuning in the DiracNMSSM
• An alternative NMSSM phenomenology with manifest perturbative unification

Cited by in corpus (14)

• Exploring new models in all detail with SARAH
• Exploring the Higgs Sector of a Most Natural NMSSM and its Prediction on Higgs Pair Production at the LHC
• Higgs mass predictions of public NMSSM spectrum generators
• Current Status of Natural NMSSM in Light of LHC 13TeV Data and XENON-1T Results
• Natural NMSSM with a Light Singlet Higgs and Singlino LSP
• One-loop renormalisation of the NMSSM in SloopS : 1. the neutralino-chargino and sfermion sectors
• Scalar dark matter in the conformally invariant extension of the standard model
• Z' mass limits and the naturalness of supersymmetry
• Supersoft Supersymmetry, Conformal Sequestering, and Single Scale Supersymmetry Breaking
• Conformal invariance and singlet fermionic dark matter
• Dominant production of heavier Higgs bosons through vector boson fusion in NMSSM
• Impact of LHC Higgs couplings measurements on bosonic decays of the neutral Higgs sector in the scNMSSM
• Dark matter constraints and the neutralino sector of the scNMSSM
• Fermionic decays of NMSSM Higgs bosons under LHC 13 TeV constraints