The $R^2$-Higgs inflation with two Higgs doublets

Abstract

We study $R^2$-Higgs inflation in a model with two Higgs doublets in which the Higgs sector of the Standard Model is extended by an additional Higgs doublet, thereby four scalar fields are involved in the inflationary evolutions. We first derive the set of equations required to follow the inflationary dynamics in this two Higgs doublet model, allowing a nonminimal coupling between the Higgs-squared and the Ricci scalar $R$, as well as the $R^2$ term in the covariant formalism. By numerically solving the system of equations, we find that, in parameter space where a successful $R^2$-Higgs inflation are realized and consistent with low energy constraints, the inflationary dynamics can be effectively described by a single slow-roll formalism even though four fields are involved in the model. We also argue that the parameter space favored by $R^2$-Higgs inflation requires nearly degenerate masses for $m_{\mathsf{H}}$, $m_A$ and $m_{{\mathsf{H}}^{\pm }}$, where $\mathsf{H}$, $A$, and ${\mathsf{H}}^{\pm }$ are the extra CP even, CP odd, and charged Higgs bosons in the general two Higgs doublet model taking renormalization group evolutions of the parameters into account. Discovery of such heavy scalars at the Large Hadron Collider (LHC) are possible if they are in the sub-TeV mass range. Indirect evidences may also emerge at the LHCb and Belle-II experiments, however, to probe the quasi degenerate mass spectra one would likely require high luminosity LHC or future lepton colliders such as the International Linear Collider and the Future Circular Collider.

arXiv commentmatches the published version

References in corpus (90)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Asymptotic formulae for likelihood-based tests of new physics
• DELPHES 3, A modular framework for fast simulation of a generic collider experiment
• Theory and phenomenology of two-Higgs-doublet models
• The Standard Model Higgs boson as the inflaton
• Higgs mass and vacuum stability in the Standard Model at NNLO
• The Anatomy of Electro-Weak Symmetry Breaking. II: The Higgs bosons in the Minimal Supersymmetric Model
• Inflation Dynamics and Reheating
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• A new approach to the evolution of cosmological perturbations on large scales
• Adiabatic and entropy perturbations from inflation
• Cosmological perturbations
• The global electroweak fit at NNLO and prospects for the LHC and ILC
• Higgs inflation: consistency and generalisations
• 2HDMC - Two-Higgs-Doublet Model Calculator
• On the Naturalness of Higgs Inflation
• Running Inflation in the Standard Model
• Mission design of LiteBIRD
• Inflation scenario via the Standard Model Higgs boson and LHC
• Power-counting and the Validity of the Classical Approximation During Inflation
• Standard Model Higgs boson mass from inflation
• Basis-independent methods for the two-Higgs-doublet model
• Flavor-phenomenology of two-Higgs-doublet models with generic Yukawa structure
• The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
• Comment on Higgs Inflation and Naturalness
• On Inflation with Non-minimal Coupling
• Primordial Spectral Indices from Generalized Einstein Theories
• Scalaron from $R^2$-gravity as a Heavy Field
• An Observational Test of Two-field Inflation
• Induced gravity inflation in the standard model of particle physics
• Perturbations in generalized multi-field inflation
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• Unitarizing Higgs Inflation
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• The Higgs field as an inflaton
• Higgs boson, renormalization group, and naturalness in cosmology
• Higgs inflation from Standard Model criticality
• Higgs Scalaron Mixed Inflation
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Classical and Quantum Initial Conditions for Higgs Inflation
• Violent Preheating in Inflation with Nonminimal Coupling
• Correlated perturbations from inflation and the cosmic microwave background
• Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
• Inflation in the Mixed Higgs-$R^2$ Model
• A covariant approach to general field space metric in multi-field inflation
• Higgs Portal Inflation
• Preheating after Multifield Inflation with Nonminimal Couplings, I: Covariant Formalism and Attractor Behavior
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• Multifield Dynamics of Higgs Inflation
• Restoring the sting to metric preheating
• Super-horizon perturbations and preheating
• Flavor Changing Heavy Higgs Interactions at the LHC
• On the violent preheating in the mixed Higgs-$R^2$ inflationary model
• Non-Gaussianity in Two-Field Inflation
• The inflationary bispectrum with curved field-space
• Frame Covariant Nonminimal Multifield Inflation
• Searching for new scalar bosons via triple-top signature in $cg\to t{S}^0\to tt\bar{t}$
• Curvature perturbation in multi-field inflation with non-minimal coupling
• Some like it hot: $R^2$ heals Higgs inflation, but does not cool it
• Approximate Alignment in Two Higgs Doublet Model with Extra Yukawa Couplings
• Inflation and dark matter in two Higgs doublet models
• Inflation and Dark Matter in the Inert Doublet Model
• Preserving the validity of the Two-Higgs Doublet Model up to the Planck scale
• Occurrence of Tachyonic Preheating in the Mixed Higgs-$R^2$ Model
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Electroweak baryogenesis via bottom transport
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• Constraining a Lighter Exotic Scalar via Same-sign Top
• Constraining $t\to u$ flavor changing neutral Higgs coupling at the LHC
• Implications of Four-Top and Top-Pair Studies on Triple-Top Production
• Enhanced $B\to \mu \bar{\nu }$ Decay at Tree Level as Probe of Extra Yukawa Couplings
• A heatwave affair: mixed Higgs-$R^2$ preheating on the lattice
• On Preheating in Higgs Inflation
• The Hubble Slow Roll Expansion for Multi Field Inflation
• Sub-TeV $H^{+}$ Boson Production as Probe of Extra Top Yukawa Couplings
• Hill crossing during preheating after hilltop inflation
• Perturbative Reheating in the Mixed Higgs-$R^2$ Model
• Probing for Extra Top Yukawa Couplings in Light of $t\bar{t}h(125)$ Observation
• Probing Electroweak Baryogenesis induced by extra bottom Yukawa coupling via EDMs and collider signatures
• The $tZH$ and $tZh$ production in 2HDM: Prospects for discovery at the LHC
• Top-Assisted Di-Higgs boson Production Motivated by Baryogenesis
• Probing an additional bottom Yukawa coupling via $bg\to bA\to bZH$ signature
• MSSM-inspired multifield inflation
• A Final Word on FCNC-Baryogenesis from Two Higgs Doublets
• Prospect and implications of $cg\to b{H}^{+}\to bA{W}^{+}$ production at the LHC
• Testing Two-Field Inflation