Gauge-independent Renormalization of the 2-Higgs-Doublet Model

Abstract

The 2-Higgs-Doublet Model (2HDM) belongs to the simplest extensions of the Standard Model (SM) Higgs sector that are in accordance with theoretical and experimental constraints. In order to be able to properly investigate the experimental Higgs data and, in the long term to distinguish between possible models beyond the SM, precise predictions for the Higgs boson observables have to be made available on the theory side. This requires the inclusion of the higher order corrections. In this work, we investigate in detail the renormalization of the 2HDM, a pre-requisite for the computation of higher order corrections. We pay particular attention to the renormalization of the mixing angles $\alpha$ and $\beta$, which diagonalize the Higgs mass matrices and which enter all Higgs observables. The implications of various renormalization schemes in next-to-leading order corrections to the sample processes $H^{\pm }\to W^{\pm }h/H$ and $H\to ZZ$ are investigated. Based on our findings, we will present a renormalization scheme that is at the same time process independent, gauge independent and numerically stable.

References in corpus (18)

• 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
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• 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
• Updated NNLO QCD predictions for the weak radiative B-meson decays
• SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM
• The oblique parameters in multi-Higgs-doublet models
• Pinch Technique: Theory and Applications
• Observing the Dark Scalar Doublet and its Impact on the Standard-Model Higgs Boson at Colliders
• Basis-independent methods for the two-Higgs-doublet model III: The CP-conserving limit, custodial symmetry, and the oblique parameters S, T, U
• Status of the Inert Doublet Model and the Role of multileptons at the LHC
• Fingerprinting the extended Higgs sector using one-loop corrected Higgs boson couplings and future precision measurements
• Gauge-independent Renormalization of the 2-Higgs-Doublet Model
• Wrong sign and symmetric limits and non-decoupling in 2HDMs
• Automatised full one-loop renormalisation of the MSSM I: The Higgs sector, the issue of tan(beta) and gauge invariance
• Automatised full one-loop renormalisation of the MSSM II: The chargino-neutralino sector, the sfermion sector and some applications

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• 2HDECAY - A program for the Calculation of Electroweak One-Loop Corrections to Higgs Decays in the Two-Higgs-Doublet Model Including State-of-the-Art QCD Corrections
• Full next-to-leading-order calculations of Higgs boson decay rates in models with non-minimal scalar sectors
• Probing extended Higgs sectors by the synergy between direct searches at the LHC and precision tests at future lepton colliders
• Precision calculations for h->WW/ZZ->4 fermions in the Two-Higgs-Doublet Model with PROPHECY4F
• PROPHECY4F 3.0: A Monte Carlo program for Higgs-boson decays into four-fermion final states in and beyond the Standard Model
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• Precision calculations for $h\to WW/ZZ\to 4$ fermions in a Singlet Extension of the Standard Model with Prophecy4f
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• Electroweak Corrections in a Pseudo-Nambu Goldstone Dark Matter Model Revisited
• FlexibleDecay: An automated calculator of scalar decay widths
• Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 1. Standard Model
• Renormalization of the multi-Higgs-doublet Standard Model and one-loop lepton mass corrections
• Electroweak Corrections to Dark Matter Direct Detection in a Vector Dark Matter Model
• Strongly first-order electroweak phase transition by relatively heavy additional Higgs bosons
• Gauge Dependences of Higher-Order Corrections to NMSSM Higgs Boson Masses and the Charged Higgs Decay $H^{\pm }\to W^{\pm }{h}_i$
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• Two Higgs doublet model fitting and $t\bar{t}b\bar{b}$ signal at the ILC
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