Supersymmetric and non-supersymmetric models without catastrophic Goldstone bosons
arXiv:1706.05372 · doi:10.1140/epjc/s10052-017-5303-x
Abstract
The calculation of the Higgs mass in general renormalisable field theories has been plagued by the so-called "Goldstone Boson Catastrophe", where light (would-be) Goldstone bosons give infra-red divergent loop integrals. In supersymmetric models, previous approaches included a workaround that ameliorated the problem for most, but not all, parameter space regions; while giving divergent results everywhere for non-supersymmetric models! We present an implementation of a general solution to the problem in the public code SARAH, along with new calculations of some necessary loop integrals and generic expressions. We discuss the validation of our code in the Standard Model, where we find remarkable agreement with the known results. We then show new applications in Split SUSY, the NMSSM, the Two-Higgs-Doublet Model, and the Georgi-Machacek model. In particular, we take some first steps to exploring where the habit of using tree-level mass relations in non-supersymmetric models breaks down, and show that the loop corrections usually become very large well before naive perturbativity bounds are reached.
arXiv comment45 pages, 12 figures
References in corpus (79)
- Investigating the near-criticality of the Higgs boson
- SPheno, a program for calculating supersymmetric spectra, SUSY particle decays and SUSY particle production at e+ e- colliders
- The Next-to-Minimal Supersymmetric Standard Model
- SARAH 4: A tool for (not only SUSY) model builders
- SPheno 3.1: extensions including flavour, CP-phases and models beyond the MSSM
- Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
- The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
- HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron
- Aspects of Split Supersymmetry
- HiggsBounds-4: Improved Tests of Extended Higgs Sectors against Exclusion Bounds from LEP, the Tevatron and the LHC
- Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
- SARAH 3.2: Dirac Gauginos, UFO output, and more
- Note on tree-level unitarity in the General Two Higgs Doublet Model
- Lee-Quigg-Thacker Bounds for Higgs Boson Masses in a Two-Doublet Model
- From Superpotential to Model Files for FeynArts and CalcHep/CompHep
- Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements
- On the O(alpha_t^2) two-loop corrections to the neutral Higgs boson masses in the MSSM
- Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry
- QCD Corrections to the Masses of the neutral CP-even Higgs Bosons in the MSSM
- Two-Loop Radiative Corrections to the Lightest Higgs Boson Mass in the Minimal Supersymmetric Model
- On the neutral Higgs boson masses in the MSSM for arbitrary stop mixing
- On the two-loop sbottom corrections to the neutral Higgs boson masses in the MSSM
- Complete Two-loop Dominant Corrections to the Mass of the Lightest CP-even Higgs Boson in the Minimal Supersymmetric Standard Model
- Precise Prediction for the Mass of the Lightest Higgs Boson in the MSSM
- MSSM Lightest CP-Even MSSM Higgs Boson Mass to O(alpha_s alpha_t): the Effective Potential Approach
- On the two-loop Yukawa corrections to the MSSM Higgs boson masses at large tan(beta)
- Light MSSM Higgs boson mass to three-loop accuracy
- Higgs Mass and Unnatural Supersymmetry
- Higgs boson mass in supersymmetry to three loops
- Scrutinizing the Alignment Limit in Two-Higgs-Doublet Models. Part 2: GeV
- Scrutinizing the Alignment Limit in Two-Higgs-Doublet Models. Part 1: GeV
- High-Precision Predictions for the MSSM Higgs Sector at O(alpha_b alpha_s)
- Two-Loop Effective Potential Calculation of the Lightest CP-Even Higgs-Boson Mass in the MSSM
- Three-loop corrections to the lightest Higgs scalar boson mass in supersymmetry
- TSIL: a program for the calculation of two-loop self-energy integrals
- Two-loop effective potential for the minimal supersymmetric standard model
- Complete two-loop effective potential approximation to the lightest Higgs scalar boson mass in supersymmetry
- Consistent Use of the Standard Model Effective Potential
- Taming Infrared Divergences in the Effective Potential
- Tree-unitarity bounds for THDM Higgs masses revisited
- Taming the Goldstone contributions to the effective potential
- The decoupling limit in the Georgi-Machacek model
- Two-Loop Higgs mass calculations in supersymmetric models beyond the MSSM with SARAH and SPheno
- Evaluation of two-loop self-energy basis integrals using differential equations
- TARCER - A Mathematica program for the reduction of two-loop propagator integrals
- Consistent Use of Effective Potentials
- Two-loop scalar self-energies in a general renormalizable theory at leading order in gauge couplings
- Strong and Yukawa two-loop contributions to Higgs scalar boson self-energies and pole masses in supersymmetry
- Split Supersymmetry at Colliders
- The MSSM with heavy scalars
- Improved predictions for intermediate and heavy Supersymmetry in the MSSM and beyond
- Momentum-dependent two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
- Improved determination of the Higgs mass in the MSSM with heavy superpartners
- Higgs boson masses and mixings in the complex MSSM with two-loop top-Yukawa-coupling corrections
- Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation
- Two-loop scalar self-energies and pole masses in a general renormalizable theory with massless gauge bosons
- Renormalization scheme dependence of the two-loop QCD corrections to the neutral Higgs-boson masses in the MSSM
- All the generalized Georgi-Machacek models
- Gauge-Independent Scales Related to the Standard Model Vacuum Instability
- The Higgs mass in the CP violating MSSM, NMSSM, and beyond
- Two-loop top-Yukawa-coupling corrections to the Higgs boson masses in the complex MSSM
- Higgs boson mass in the Standard Model at two-loop order and beyond
- Symmetry Improved CJT Effective Action
- SusyHD: Higgs mass Determination in Supersymmetry
- Avoiding the Goldstone Boson Catastrophe in general renormalisable field theories at two loops
- Effects of custodial symmetry breaking in the Georgi-Machacek model at high energies
- Leading two-loop corrections to the Higgs boson masses in SUSY models with Dirac gauginos
- Interplay of Infrared Divergences and Gauge-Dependence of the Effective Potential
- Higgs Sector Renormalization Group in the MS-bar and OMS Scheme
- The Di-Photon Excess in a Perturbative SUSY Model
- Dark matter scenarios in a constrained model with Dirac gauginos
- Symmetry-Improved 2PI Approach to the Goldstone-Boson IR Problem of the SM Effective Potential
- Reopen parameter regions in Two-Higgs Doublet Models
- A Fake Split Supersymmetry Model for the 126 GeV Higgs
- Two-loop Higgs mass calculation from a diagrammatic approach
- Resummation of Goldstone boson contributions to the MSSM effective potential
- Symmetry Improved 2PI Effective Action and the Infrared Divergences of the Standard Model
- (O)Mega Split
- Two-Loop Results for the Masses of the Neutral CP-Even Higgs Bosons in the MSSM
Cited by in corpus (39)
- Cosmological phase transitions: from perturbative particle physics to gravitational waves
- On the validity of perturbative studies of the electroweak phase transition in the Two Higgs Doublet model
- Higgs-mass predictions in the MSSM and beyond
- Generic calculation of two-body partial decay widths at the full one-loop level
- On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors
- Leading two-loop corrections to the Higgs boson self-couplings in models with extended scalar sectors
- Complete two-loop QCD contributions to the lightest Higgs-boson mass in the MSSM with complex parameters
- Effective potential at three loops
- Standard Model parameters in the tadpole-free pure scheme
- Higgs alignment from extended supersymmetry
- Two-loop effective potential for generalized gauge fixing
- Two-loop analysis of classically scale-invariant models with extended Higgs sectors
- N-loop running should be combined with N-loop matching
- Improved unitarity constraints in Two-Higgs-Doublet-Models
- LHC limits on gluinos and squarks in the minimal Dirac gaugino model
- Matching renormalisable couplings: simple schemes and a plot
- Electroweak Phase Transition in a Right-Handed Neutrino Superfield Extended NMSSM
- All two-loop scalar self-energies and tadpoles in general renormalisable field theories
- Unitarity constraints in triplet extensions beyond the large s limit
- Resummation of Goldstone Infrared Divergences: A Proof to All Orders
- Light (and darkness) from a light hidden Higgs
- Active learning BSM parameter spaces
- Seeking a coherent explanation of LHC excesses for compressed spectra
- Leading two-loop corrections to the Higgs di-photon decay in the Inert Doublet Model
- The Ultraviolet Landscape of Two-Higgs Doublet Models
- The Supersymmetric Georgi-Machacek Model
- Expectation management
- External leg corrections as an origin of large logarithms
- W boson mass in minimal Dirac gaugino scenarios
- Higgs-mass prediction in the NMSSM with heavy BSM particles
- A Very Heavy Sneutrino as Viable Thermal Dark Matter Candidate in Extensions of the MSSM
- Monojets from compressed weak frustrated dark matter
- Dark Matter in the CP-violating NMSSM
- Light Signatures at the LHC
- Data-driven analysis of a SUSY GUT of flavour
- TeV-scale leptoquark searches at the LHC and their ESSM Interpretation
- Fighting off field dependence in MSSM Higgs-mass corrections of order and
- Dark matter with exotic mediators: The diquark portal
- Deciphering compressed electroweakino excesses with MadAnalysis 5