$Z_2$ breaking effects in 2-loop RG evolution of 2HDM

Abstract

We investigate the effects of a $Z_2$ symmetry in the CP-conserving Two-Higgs-Doublet-Model (2HDM); which is often imposed to prevent Flavor-Changing-Neutral-Currents (FCNCs) at tree-level. Specifically, we analyze how a breaking of the $Z_2$ symmetry spreads during renormalization group evolution; employing general 2-loop renormalization group equations that we have derived. Evolving the model from the electroweak to the Planck scale, we find that while the case of an exact $Z_2$ symmetric 2HDM is very constrained, a soft breaking of the $Z_2$ symmetry extends the valid parameter space regions. The effects of a hard $Z_2$ breaking in the scalar sector as well as the stability of the flavor alignment ansatz are also investigated. We find that while a hard breaking of the $Z_2$ symmetry in the potential is problematic, since it speeds up the growth of quartic couplings, the generated FCNCs are heavily suppressed. Conversely, we also find that hard $Z_2$ breaking in the Yukawa sector at most gives moderate $Z_2$ breaking in the potential; whereas the FCNCs can become quite sizable far away from the $Z_2$ symmetric regions.

arXiv comment33 pages, journal version

References in corpus (44)

• 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
• Theory and phenomenology of two-Higgs-doublet models
• Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC $pp$ collision data at $\sqrt{s}=$ 7 and 8 TeV
• 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
• SARAH 4: A tool for (not only SUSY) model builders
• SPheno 3.1: extensions including flavour, CP-phases and models beyond the MSSM
• HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron
• HiggsBounds-4: Improved Tests of Extended Higgs Sectors against Exclusion Bounds from LEP, the Tevatron and the LHC
• HiggsSignals: Confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC
• HiggsBounds 2.0.0: Confronting Neutral and Charged Higgs Sector Predictions with Exclusion Bounds from LEP and the Tevatron
• 2HDMC - Two-Higgs-Doublet Model Calculator
• Updated Values of Running Quark and Lepton Masses
• Basis-independent methods for the two-Higgs-doublet model
• Yukawa Alignment in the Two-Higgs-Doublet Model
• Tree-level unitarity constraints in the most general 2HDM
• Jarlskog-like invariants for theories with scalars and fermions
• Minkowski space structure of the Higgs potential in 2HDM
• Maximally Symmetric Two Higgs Doublet Model with Natural Standard Model Alignment
• Fundamental CP-violating quantities in a SU(2)$\otimes$U(1) model with many Higgs doublets
• Conditions for CP-Violation in the General Two-Higgs-Doublet Model
• Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U
• Two-loop Renormalization Group Equations in General Gauge Field Theories
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Charged-Higgs phenomenology in the Aligned two-Higgs-doublet model
• Basis-independent methods for the two-Higgs-doublet model II. The significance of tan(beta)
• New LHC Benchmarks for the CP-conserving Two-Higgs-Doublet Model
• Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breaking
• Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models
• PyR@TE: Renormalization Group Equations for General Gauge Theories
• Search for a 'stable alignment limit' in two Higgs-doublet models
• Revisiting RGEs for general gauge theories
• High scale flavor alignment in two-Higgs doublet models and its phenomenology
• Flavour alignment in multi-Higgs-doublet models
• Preserving the validity of the Two-Higgs Doublet Model up to the Planck scale
• On three-loop RGE for the Higgs sector of 2HDM
• Constraining General Two Higgs Doublet Models by the Evolution of Yukawa Couplings
• High scale impact in alignment and decoupling in two-Higgs doublet models
• Flavour Conservation in Two Higgs Doublet Models
• N-loop running should be combined with N-loop matching
• Necessity of mixed kinetic term in the description of general system with identical fields
• The Ultraviolet Landscape of Two-Higgs Doublet Models
• Scalar Kinetic Mixing and the Renormalization Group

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