What is a Natural SUSY scenario?

Abstract

The idea of "Natural SUSY", understood as a supersymmetric scenario where the fine-tuning is as mild as possible, is a reasonable guide to explore supersymmetric phenomenology. In this paper, we re-examine this issue in the context of the MSSM including several improvements, such as the mixing of the fine-tuning conditions for different soft terms and the presence of potential extra fine-tunings that must be combined with the electroweak one. We give tables and plots that allow to easily evaluate the fine-tuning and the corresponding naturalness bounds for any theoretical model defined at any high-energy (HE) scale. Then, we analyze in detail the complete fine-tuning bounds for the unconstrained MSSM, defined at any HE scale. We show that Natural SUSY does not demand light stops. Actually, an average stop mass below 800 GeV is disfavored, though one of the stops might be very light. Regarding phenomenology, the most stringent upper bound from naturalness is the one on the gluino mass, which typically sets the present level of fine-tuning at $\mathcal{O}(1\%)$. However, this result presents a strong dependence on the HE scale. E.g. if the latter is $10^7$ GeV the level of fine-tuning is $\sim$ four times less severe. Finally, the most robust result of Natural SUSY is by far that Higgsinos should be rather light, certainly below 700 GeV for a fine-tuning of $\mathcal{O}(1\%)$ or milder. Incidentally, this upper bound is not far from $\simeq 1$ TeV, which is the value required if dark matter is made of Higgsinos.

arXiv comment41 pages, 8 figures, 9 tables. References added, matches JHEP published version

References in corpus (67)

• FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM
• SARAH 4: A tool for (not only SUSY) model builders
• Towards High-Precision Predictions for the MSSM Higgs Sector
• The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
• The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach
• ANALYTICAL EXPRESSIONS FOR RADIATIVELY CORRECTED HIGGS MASSES AND COUPLINGS IN THE MSSM
• Natural SUSY Endures
• Multi-TeV Scalars are Natural in Minimal Supergravity
• The Well-Tempered Neutralino
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• The Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
• The effective potential and the renormalisation group
• Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements
• One-Loop Analysis of the Electroweak Breaking in Supersymmetric Models and the Fine-Tuning Problems
• Regularization Dependence of Running Couplings in Softly Broken Supersymmetry
• A Solution to the Supersymmetric Fine-Tuning Problem within the MSSM
• Naturalness and the Status of Supersymmetry
• Measures of fine tuning
• Higgs boson mass in supersymmetry to three loops
• Little SUSY hierarchy in mixed modulus-anomaly mediation
• Naturalness Implications of LEP Results
• Low-scale supersymmetry breaking: effective description, electroweak breaking and phenomenology
• Living Dangerously with Low-Energy Supersymmetry
• The MSSM fine tuning problem: a way out
• The fine-tuning price of LEP
• About the fine-tuning price of LEP
• Naturalness Priors and Fits to the Constrained Minimal Supersymmetric Standard Model
• Improving the Effective Potential
• The Last Vestiges of Naturalness
• Natural ranges of supersymmetric signals
• S-particles at their naturalness limits
• Natural Priors, CMSSM Fits and LHC Weather Forecasts
• Naturalness bounds on gauge mediated soft terms
• Toward Full LHC Coverage of Natural Supersymmetry
• Naturalness and Focus Points with Non-Universal Gaugino Masses
• Naturalness, Supersymmetry and Implications for LHC and Dark Matter
• Bayesian approach and Naturalness in MSSM analyses for the LHC
• Fine tuning as an indication of physics beyond the MSSM
• Improving the Effective Potential:Multi-Mass-Scale Case
• Supersymmetry, Naturalness, and Light Higgsinos
• Fine-Tuning Constraints on Supergravity Models
• Naturalness of the Non-Universal MSSM in the light of the recent Higgs results
• A Collider Signature of the Supersymmetric Golden Region
• Natural Supersymmetry at the LHC
• Search for the Standard Model Higgs Boson with the OPAL Detector at LEP
• Three-Loop Corrections to the Higgs Boson Mass and Implications for Supersymmetry at the LHC
• Implications for New Physics from Fine-Tuning Arguments: II. Little Higgs Models
• Non-universal gaugino masses and fine tuning implications for SUSY searches in the MSSM and the GNMSSM
• The Higgs sector of the MSSM in the decoupling limit
• Upper bounds on SUSY masses from the LHC
• The Electroweak Sector of the pMSSM in the Light of LHC - 8 TeV and Other Data
• Naturally Large Tan $\beta$
• A Minimally Fine-Tuned Supersymmetric Standard Model
• Low fine tuning in the MSSM with higgsino dark matter and unification constraints
• Fine-tuning implications for complementary dark matter and LHC SUSY searches
• Are heavy scalars natural in minimal supergravity?
• The fine-tuning cost of the likelihood in SUSY models
• The fine-tuning price of the early LHC
• Light stops emerging in WW cross section measurements?
• Is Natural SUSY Natural?
• MSSM Forecast for the LHC
• Minimally Fine-Tuned Supersymmetric Standard Models with Intermediate-Scale Supersymmetry Breaking
• Fine Tuning in General Gauge Mediation
• `Stop' that ambulance! New physics at the LHC?
• Naturalness bounds in extensions of the MSSM without a light Higgs boson
• General Focus Point in the MSSM
• Naturalness in low-scale SUSY models and "non-linear" MSSM

Cited by in corpus (28)

• Search for new physics in events with two soft oppositely charged leptons and missing transverse momentum in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Combined collider constraints on neutralinos and charginos
• Cornering Natural SUSY at LHC Run II and Beyond
• Minimal Natural Supersymmetry after the LHC8
• Supersymmetry with Dark Matter is still natural
• Indirect and direct detection prospect for TeV dark matter in the MSSM-9
• Twin Higgs Portal Dark Matter
• Naturalness of the relaxion mechanism
• The current status of fine-tuning in supersymmetry
• Naturalness of MSSM dark matter
• Prospects for natural SUSY
• Dark matter protohalos in MSSM-9 and implications for direct and indirect detection
• Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
• Tagging a mono-top signature in Natural SUSY
• Precision Corrections to Fine Tuning in SUSY
• Consistency of Scalar Potentials from Quantum de Sitter Space
• Improving naturalness in Gauge Mediation with non-unified messenger sectors
• Multilepton signals of heavier electroweakinos at the LHC
• Gravitino vs Neutralino LSP at the LHC
• Sbottoms as probes to MSSM with nonholomorphic soft interactions
• Mono-top Signature from Supersymmetric $t\bar{t}H$ Channel
• Supersoft Stops
• Reducing the fine-tuning of gauge-mediated SUSY breaking
• Supersymmetric Naturalness Beyond MSSM
• Low-mass neutralino dark matter in supergravity scenarios: phenomenology and naturalness
• Searching for supersymmetry scalelessly
• Toy models for hierarchy studies
• HL-LHC sensitivity to higgsinos from natural SUSY with gravitino LSP