Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breaking

Abstract

We determine the next-to-leading order renormalization group equations for the Two-Higgs-Doublet model with a softly broken $Z_2$ symmetry and CP conservation in the scalar potential. We use them to identify the parameter regions which are stable up to the Planck scale and find that in this case the quartic couplings of the Higgs potential cannot be larger than 1 in magnitude and that the absolute values of the S-matrix eigenvalues cannot exceed 2.5 at the electroweak symmetry breaking scale. Interpreting the 125 GeV resonance as the light CP-even Higgs eigenstate, we combine stability constraints, electroweak precision and flavour observables with the latest ATLAS and CMS data on Higgs signal strengths and heavy Higgs searches in global parameter fits to all four types of $Z_2$ symmetry. We quantify the maximal deviations from the alignment limit and find that in type II and Y the mass of the heavy CP-even (CP-odd) scalar cannot be smaller than 340 GeV (360 GeV). Also, we pinpoint the physical parameter regions compatible with a stable scalar potential up to the Planck scale. Motivated by the question how natural a Higgs mass of 125 GeV can be in the context of a Two-Higgs-Doublet model, we also address the hierarchy problem and find that the Two-Higgs-Doublet model does not offer a perturbative solution to it beyond 5 TeV.

arXiv comment30 pages, 29 figures. Major update of the experimental inputs; references added

References in corpus (93)

• 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
• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Theory and phenomenology of two-Higgs-doublet models
• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• HDECAY: a Program for Higgs Boson Decays in the Standard Model and its Supersymmetric Extension
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
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• Updated NNLO QCD predictions for the weak radiative B-meson decays
• 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
• The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
• A New Approach to a Global Fit of the CKM Matrix
• Tree-level unitarity constraints in the most general 2HDM
• Global fit to Higgs signal strengths and couplings and implications for extended Higgs sectors
• Explaining B->Dτν, B->D*τνand B->τνin a 2HDM of type III
• Impersonating the Standard Model Higgs Boson: Alignment without Decoupling
• Flavor constraints on two-Higgs-doublet models with general diagonal Yukawa couplings
• ZFITTER v.6.21 - A Semi-Analytical Program for Fermion Pair Production in e+e- Annihilation
• Maximally Symmetric Two Higgs Doublet Model with Natural Standard Model Alignment
• Search for a Higgs boson in the mass range from 145 to 1000 GeV decaying to a pair of W or Z bosons
• Search for Scalar Diphoton Resonances in the Mass Range $65-600$ GeV with the ATLAS Detector in $pp$ Collision Data at $\sqrt{s}$ = 8 $TeV$
• Search for neutral MSSM Higgs bosons decaying to a pair of tau leptons in pp collisions
• Dynamics of Perturbations in Double Field Theory & Non-Relativistic String Theory
• Metastability bounds on the two Higgs doublet model
• Search for the Standard Model Higgs boson produced in association with top quarks and decaying into $b\bar{b}$ in pp collisions at $\sqrt{s}$ = 8 TeV with the ATLAS detector
• Search for resonant pair production of Higgs bosons decaying to two bottom quark-antiquark pairs in proton-proton collisions at 8 TeV
• Limiting two-Higgs-doublet models
• Scrutinizing the Alignment Limit in Two-Higgs-Doublet Models. Part 1: $m_h=125$ GeV
• Scrutinizing the Alignment Limit in Two-Higgs-Doublet Models. Part 2: $m_H=125$ GeV
• Search for neutral Higgs bosons of the minimal supersymmetric standard model in pp collisions at $\sqrt{s}$ = 8 TeV with the ATLAS detector
• Impact of a Higgs boson at a mass of 126 GeV on the standard model with three and four fermion generations
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• Search for diphoton resonances in the mass range from 150 to 850 GeV in pp collisions at sqrt(s) = 8 TeV
• Search For Higgs Boson Pair Production in the $\gamma \gamma b\bar{b}$ Final State using $pp$ Collision Data at $\sqrt{s}=8$ TeV from the ATLAS Detector
• Status of the two-Higgs-doublet model of type II
• Search for a CP-odd Higgs boson decaying to $Zh$ in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• CPV Phenomenology of Flavor Conserving Two Higgs Doublet Models
• Search for charged Higgs bosons decaying via $H^{\pm }\to {\tau }^{\pm }\nu$ in fully hadronic final states using $pp$ collision data at $\sqrt{s}=8$ TeV with the ATLAS detector
• Searching for Signs of the Second Higgs Doublet
• Fingerprinting the extended Higgs sector using one-loop corrected Higgs boson couplings and future precision measurements
• News from FormCalc and LoopTools
• Fingerprinting non-minimal Higgs sectors
• Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal
• Search for a standard model Higgs boson produced in association with a top-quark pair and decaying to bottom quarks using a matrix element method
• Benchmarks for Higgs Pair Production and Heavy Higgs Searches in the Two-Higgs-Doublet Model of Type II
• PyR@TE: Renormalization Group Equations for General Gauge Theories
• Heavy Higgs Searches and Constraints on Two Higgs Doublet Models
• Two-loop stability of a complex singlet extended Standard Model
• THE TOOLS AND MONTE CARLO WORKING GROUP Summary Report from the Les Houches 2009 Workshop on TeV Colliders
• Implications of Higgs boson search data on the two-Higgs doublet models with a softly broken $Z_2$ symmetry
• Carving Out Parameter Space in Type-II Two Higgs Doublets Model
• Exploring Two Higgs Doublet Models Through Higgs Production
• Towards a general analysis of LHC data within two-Higgs-doublet models
• A Natural Two-Higgs-Doublet Model
• Light Higgs bosons in Two-Higgs-Doublet Models
• Search for a 'stable alignment limit' in two Higgs-doublet models
• Scrutinizing h(125) in Two Higgs Doublet Models at the LHC, ILC, and Muon Collider
• Two Higgs doublet models for the LHC Higgs boson data at $\sqrt{s}=$ 7 and 8 TeV
• High-scale validity of a two-Higgs doublet scenario: a study including LHC data
• Renormalization of the neutrino mass operators in the multi-Higgs-doublet Standard Model
• Constraining parameter space in type-II two-Higgs doublet model in light of a 126 GeV Higgs boson
• Constraining Type II 2HDM in Light of LHC Higgs Searches
• Status of the aligned two-Higgs-doublet model confronted with the Higgs data
• The Higgs Mass and New Physics Scales in the Minimal Standard Model
• Dark matter, neutrino masses and high scale validity of an inert Higgs doublet model
• Preserving the validity of the Two-Higgs Doublet Model up to the Planck scale
• Higgcision in the Two-Higgs Doublet Models
• Complementarity in direct searches for additional Higgs bosons at the LHC and the International Linear Collider
• Constraining General Two Higgs Doublet Models by the Evolution of Yukawa Couplings
• Measuring the 2HDM Scalar Potential at LHC14
• Higgs Sector Renormalization Group in the MS-bar and OMS Scheme
• Higgs and Dark Matter Hints of an Oasis in the Desert
• 2HDM at the LHC - the story so far
• Masses of physical scalars in two Higgs doublet models
• Two-Higgs doublet models confront the naturalness problem
• Study of the heavy CP-even Higgs with mass 125 GeV in two-Higgs-doublet models at the LHC and ILC
• Naturalness in a simple two Higgs doublet model
• Fine Tuning in One-Higgs and Two-Higgs Standard Models
• Canceling Quadratic Divergences in a Class of Two-Higgs-Doublet Models
• Addendum to "Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal"
• Complementarity of LHC and EDMs for Exploring Higgs CP Violation
• Natural Two-Higgs-Doublet Model
• Fitting the Two-Higgs-Doublet model of type II
• Outlook on the Higgs particles, masses and physical bounds in the Two Higgs-Doublet Model
• Tuned Two-Higgs-Doublet Model

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