Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models

Abstract

The Higgs boson discovery stirred interest in next-to-minimal supersymmetric models, due to the apparent fine-tuning required to accommodate it in minimal theories. To assess their naturalness, we compare fine-tuning in a ${\mathbb{Z}}_3$ conserving semi-constrained Next-to-Minimal Supersymmetric Standard Model (NMSSM) to the constrained MSSM (CMSSM). We contrast popular fine-tuning measures with naturalness priors, which automatically appear in statistical measures of the plausibility that a given model reproduces the weak scale. Our comparison shows that naturalness priors provide valuable insight into the hierarchy problem and rigorously ground naturalness in Bayesian statistics. For the CMSSM and semi-constrained NMSSM we demonstrate qualitative agreement between naturalness priors and popular fine tuning measures. Thus, we give a clear plausibility argument that favours relatively light superpartners.

arXiv comment52 pages, 11 figures and 3 tables, Published in JHEP

References in corpus (153)

• 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
• Big-Bang Nucleosynthesis
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• The Next-to-Minimal Supersymmetric Standard Model
• Importance Nested Sampling and the MultiNest Algorithm
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• Study of Constrained Minimal Supersymmetry
• Multi-TeV Scalars are Natural in Minimal Supergravity
• Focus Points and Naturalness in Supersymmetry
• The Next-to-Minimal Supersymmetric extension of the Standard Model reviewed
• Naturalness, Weak Scale Supersymmetry and the Prospect for the Observation of Supersymmetry at the Tevatron and at the LHC
• A SM-like Higgs near 125 GeV in low energy SUSY: a comparative study for MSSM and NMSSM
• Escaping the Large Fine Tuning and Little Hierarchy Problems in the Next to Minimal Supersymmetric Model and h-> aa Decays
• Radiative natural SUSY with a 125 GeV Higgs boson
• One-Loop Analysis of the Electroweak Breaking in Supersymmetric Models and the Fine-Tuning Problems
• Implications of a 125 GeV Higgs for the MSSM and Low-Scale SUSY Breaking
• NMSSM Higgs Benchmarks Near 125 GeV
• A Solution to the Supersymmetric Fine-Tuning Problem within the MSSM
• The impact of priors and observables on parameter inferences in the Constrained MSSM
• Implications of the 125 GeV Higgs boson for scalar dark matter and for the CMSSM phenomenology
• Does LEP prefer the NMSSM?
• Measures of fine tuning
• Current experimental constraints on the lightest Higgs boson mass in the constrained MSSM
• Higgs Mass and Unnatural Supersymmetry
• Naturalness Implications of LEP Results
• Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass
• The constrained NMSSM and Higgs near 125 GeV
• Natural NMSSM Higgs Bosons
• Supernatural Supersymmetry: Phenomenological Implications of Anomaly-Mediated Supersymmetry Breaking
• Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations
• Higgs Boson Mass Predictions in SUGRA Unification, Recent LHC-7 Results, and Dark Matter
• Constrained MSSM favoring new territories: The impact of new LHC limits and a 125 GeV Higgs boson
• Precise Estimates of the Higgs Mass in Heavy SUSY
• Benchmark Models, Planes, Lines and Points for Future SUSY Searches at the LHC
• On Naturalness of the MSSM and NMSSM
• Higgs and Supersymmetry
• The MSSM fine tuning problem: a way out
• The Scale-Invariant NMSSM and the 126 GeV Higgs Boson
• The fine-tuning price of LEP
• About the fine-tuning price of LEP
• Naturalness Priors and Fits to the Constrained Minimal Supersymmetric Standard Model
• Implications for the Constrained MSSM from a new prediction for b to s gamma
• Natural ranges of supersymmetric signals
• Next-to-Minimal SOFTSUSY
• Naturalness and superpartner masses or when to give up on weak scale supersymmetry
• Probing NMSSM Scenarios with Minimal Fine-Tuning by Searching for Decays of the Upsilon to a Light CP-Odd Higgs Boson
• Global Fits of the cMSSM and NUHM including the LHC Higgs discovery and new XENON100 constraints
• Naturalness and Fine Tuning in the NMSSM: Implications of Early LHC Results
• Bayesian Selection of sign(mu) within mSUGRA in Global Fits Including WMAP5 Results
• Natural Priors, CMSSM Fits and LHC Weather Forecasts
• Naturalness bounds on gauge mediated soft terms
• The Constrained Exceptional Supersymmetric Standard Model
• Naturalness of Light Neutralino Dark Matter in pMSSM after LHC, XENON100 and Planck Data
• Implications of the Higgs Boson Discovery for mSUGRA
• The generalised NMSSM at one loop: fine tuning and phenomenology
• Dirac Gauginos and the 125 GeV Higgs
• A Higgs Mass Shift to 125 GeV and A Multi-Jet Supersymmetry Signal: Miracle of the Flippons at the \sqrt{s} = 7 TeV LHC
• Updated global fits of the cMSSM including the latest LHC SUSY and Higgs searches and XENON100 data
• Implications for New Physics from Fine-Tuning Arguments: I. Application to SUSY and Seesaw Cases
• A Profile Likelihood Analysis of the Constrained MSSM with Genetic Algorithms
• Bayesian approach and Naturalness in MSSM analyses for the LHC
• The Constrained NMSSM with a 126 GeV Higgs boson: A global analysis
• What next for the CMSSM and the NUHM: Improved prospects for superpartner and dark matter detection
• Dark matter and collider signatures of the MSSM
• Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales
• Challenges of Profile Likelihood Evaluation in Multi-Dimensional SUSY Scans
• Fine-Tuning Constraints on Supergravity Models
• The Higgs Sector and Fine-Tuning in the pMSSM
• Global fits of the cMSSM including the first LHC and XENON100 data
• XENON100 Implications for Naturalness in the MSSM, NMSSM and lambda-SUSY
• Improving the Fine Tuning in Models of Low Energy Gauge Mediated Supersymmetry Breaking
• 125 GeV Higgs Boson, Enhanced Di-photon Rate, and Gauged U(1)_PQ-Extended MSSM
• Naturalness of the Non-Universal MSSM in the light of the recent Higgs results
• Constrained Exceptional Supersymmetric Standard Model with a Higgs Near 125 GeV
• Extra Matters Decree the Relatively Heavy Higgs of Mass about 125 GeV in the Supersymmetric Model
• Maximally Natural Supersymmetry
• Impact of CMS Multi-jets and Missing Energy Search on CMSSM Fits
• Naturalness Reach of the Large Hadron Collider in Minimal Supergravity
• Profile likelihood maps of a 15-dimensional MSSM
• On the detectability of the CMSSM light Higgs boson at the Tevatron
• A flavour GUT model with theta_13^PMNS = theta_C / sqrt(2)
• Dirac gauginos, R symmetry and the 125 GeV Higgs
• Quantified naturalness from Bayesian statistics
• Should we still believe in constrained supersymmetry?
• Bayesian Implications of Current LHC Supersymmetry and Dark Matter Detection Searches for the Constrained MSSM
• Global fits of the Non-Universal Higgs Model
• SusyHD: Higgs mass Determination in Supersymmetry
• A New Measure of Fine Tuning
• Bayesian Implications of Current LHC and XENON100 Search Limits for the Constrained MSSM
• Challenging weak-scale supersymmetry at colliders
• The health of SUSY after the Higgs discovery and the XENON100 data
• Induced Electroweak Symmetry Breaking and Supersymmetric Naturalness
• Efficient reconstruction of CMSSM parameters from LHC data - A case study
• What is a Natural SUSY scenario?
• Triplet-Singlet Extension of the MSSM with a 125 Gev Higgs and Dark Matter
• Superplot: a graphical interface for plotting and analysing MultiNest output
• Bayesian naturalness of the CMSSM and CNMSSM
• MSSM Forecast for the LHC
• Indirect and direct detection prospect for TeV dark matter in the MSSM-9
• Naturalness Lowers the Upper Bound on the Lightest Higgs Boson Mass in Supersymmetry
• CMSSM, naturalness and the "fine-tuning price" of the Very Large Hadron Collider
• Status of $Y=0$ Triplet Higgs with supersymmetry in the light of $\sim 125$ GeV Higgs discovery
• 125 GeV Higgs as a pseudo-Goldstone boson in supersymmetry with vector-like matters
• Prospects for constrained supersymmetry at $\sqrt{s}=33$ TeV and $\sqrt{s}=100$ TeV proton-proton super-colliders
• Expectations for LHC from Naturalness: Modified vs. SM Higgs Sector
• Diphoton Decay Excess and 125 GeV Higgs Boson in Gauge-Higgs Unification
• A Bayesian Analysis of the Constrained NMSSM
• Complementarity of Indirect and Accelerator Dark Matter Searches
• Probing U(1) extensions of the MSSM at the LHC Run I and in dark matter searches
• Global Fits of the Large Volume String Scenario to WMAP5 and Other Indirect Constraints Using Markov Chain Monte Carlo
• Singlet Extension of the MSSM for 125 GeV Higgs Mass with the Least Tuning
• 125 GeV Higgs boson mass and muon g-2 in 5D MSSM
• En-gauging Naturalness
• Statistical coverage for supersymmetric parameter estimation: a case study with direct detection of dark matter
• Panglossian Prospects for Detecting Neutralino Dark Matter in Light of Natural Priors
• BMSSM Higgses at 125 GeV
• Multi-lepton signatures at LHC from sneutrino dark matter
• The Supersymmetric Standard Models with a Pseudo-Dirac Gluino from Hybrid $F-$ and $D-$Term Supersymmetry Breakings
• Implications for constrained supersymmetry of combined H.E.S.S. observations of dwarf galaxies, the Galactic halo and the Galactic Centre
• Fine-tuning in gauge mediated supersymmetry breaking models and induced top Yukawa coupling
• Dark matter protohalos in MSSM-9 and implications for direct and indirect detection
• Is the CNMSSM more credible than the CMSSM?
• Minimal Z' models and the 125 GeV Higgs boson
• Impact of nucleon matrix element uncertainties on the interpretation of direct and indirect dark matter search results
• A Supersymmetric Higgs Sector with Chiral D-terms
• SUSY Predictions and SUSY Tools at the LHC
• Naturally Nonminimal Supersymmetry
• Improved Naturalness and the Two Higgs Doublet Model
• Light Stops in a minimal U(1)x extension of the MSSM
• Spontaneous R-parity violation in the minimal gauged $(B-L)$ supersymmetry with a $125\mathrm{GeV}$ Higgs
• Stop-mass prediction in naturalness scenarios within MSSM-25
• Naturalness made easy: two-loop naturalness bounds on minimal SM extensions
• Hidden-sector-assisted 125 GeV Higgs boson
• A natural SM-like 126 GeV Higgs via non-decoupling D-terms
• Improved Higgs Naturalness With or Without Supersymmetry
• Pushing the SUSY Higgs mass towards 125 GeV with a color adjoint
• Supersymmetry With Prejudice: Fitting the Wrong Model to LHC Data
• Toward the Natural and Realistic NMSSM with and without R-Parity
• SUSY Higgs Mass and Collider Signals with a Hidden Valley
• Light sterile neutrinos, dark matter, and new resonances in a $U(1)$ extension of the MSSM
• Histogram comparison as a powerful tool for the search of new physics at LHC. Application to CMSSM
• Quantifying the tension between the Higgs mass and (g-2)_mu in the CMSSM
• Explaining the Fermi Galactic Centre Excess in the CMSSM
• Peccei-Quinn violating minimal supergravity and a 126 GeV Higgs
• The Fine-Tuning Problem of the Electroweak Symmetry Breaking Mechanism in Minimal SUSY Models
• LHC and dark matter phenomenology of the NUGHM
• Bayesian Study and Naturalness in MSSM Forecast for the LHC
• The little-hierarchy problem is a little problem: understanding the difference between the big- and little-hierarchy problems with Bayesian probability
• Reconstructing CMSSM parameters at the LHC with $\sqrt{s}=14$ TeV via the golden decay channel
• A Relief to the Supersymmetric Fine Tuning Problem
• Naturalness-guided Gluino Mass Bound from the Minimal Mixed Mediation of SUSY Breaking

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• Combined collider constraints on neutralinos and charginos
• GUT-constrained supersymmetry and dark matter in light of the new $(g-2{)}_{\mu }$ determination
• Current Status of Natural NMSSM in Light of LHC 13TeV Data and XENON-1T Results
• A Bayesian analysis of sneutrino DM in the NMSSM with Type-I seesaw mechanism
• The current status of fine-tuning in supersymmetry
• Naturalness versus stringy naturalness (with implications for collider and dark matter searches)
• Singlino-dominated dark matter in $Z_3$-NMSSM
• Gauging Fine-Tuning
• $R$-parity Violating Decays of Bino Neutralino LSPs at the LHC
• Testing Higgs boson scenarios in the phenomenological NMSSM
• Finetuned Cancellations and Improbable Theories
• Impact of LHC Higgs couplings measurements on bosonic decays of the neutral Higgs sector in the scNMSSM
• Precise interpretations of traditional fine-tuning measures