One-loop renormalized Higgs vertices in Georgi-Machacek model

Abstract

We compute renormalized vertices of the 125 GeV Higgs boson $h$ with the weak gauge bosons ($hVV$), fermions ($hf\bar{f}$) and itself ($hhh$) in the Georgi-Machacek model at one-loop level. The renormalization is performed based on the on-shell scheme with the use of the minimal subtraction scheme only for the $hhh$ vertex. We explicitly show the gauge dependence in the counterterms of the scalar mixing parameters in the general $R_{\xi }$ gauge, and that the dependence can be removed by using the pinch technique in physical scattering processes. We then discuss the possible allowed deviations in these one-loop corrected Higgs couplings from the standard model predictions by scanning model parameters under the constraints of perturbative unitarity and vacuum stability as well as those from experimental data.

arXiv comment56 pages, 26 figures

References in corpus (27)

• 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
• Higgs coupling constants as a probe of new physics
• Study of vector boson scattering and search for new physics in events with two same-sign leptons and two jets
• The decoupling limit in the Georgi-Machacek model
• Fingerprinting the extended Higgs sector using one-loop corrected Higgs boson couplings and future precision measurements
• Radiative corrections to electroweak parameters in the Higgs triplet model and implication with the recent Higgs boson searches
• Gauge-independent Renormalization of the 2-Higgs-Doublet Model
• Radiative corrections to the Higgs boson couplings in the triplet model
• Unitarity bounds in the Higgs model including triplet fields with custodial symmetry
• Precision observables in SU(2) x U(1) models with an additional Higgs triplet
• Radiative corrections to the Higgs boson couplings in the model with an additional real singlet scalar field
• Testing the custodial symmetry in the Higgs sector of the Georgi-Machacek model
• One-loop corrections to the Higgs self-couplings in the singlet extension
• Gauge dependence of the on-shell renormalized mixing matrices
• Gauge invariant one-loop corrections to Higgs boson couplings in non-minimal Higgs models
• Higgs decays in the Two Higgs Doublet Model: Large quantum effects in the decoupling regime
• Radiative corrections to the Yukawa coupling constants in two Higgs doublet models
• Searches of exotic Higgs bosons in general mass spectra of the Georgi-Machacek model at the LHC
• Electroweak Phase Transition in Georgi-Machacek Model
• Enhancements of weak gauge boson scattering processes at the CERN LHC
• Effects of custodial symmetry breaking in the Georgi-Machacek model at high energies
• Properties and searches of the exotic neutral Higgs bosons in the Georgi-Machacek model
• Renormalization of the Higgs sector in the triplet model
• One-Loop Radiative Correction to the Triple Higgs Coupling in the Higgs Singlet Model
• Scale- and gauge-independent mixing angles for scalar particles
• Precision calculations for $h\to WW/ZZ\to 4$ fermions in a Singlet Extension of the Standard Model with Prophecy4f
• Radiative corrections to Higgs couplings with weak gauge bosons in custodial multi-Higgs models

Cited by in corpus (19)

• Global fits in the Georgi-Machacek model
• Electroweak phase transition and Higgs phenomenology in the Georgi-Machacek model
• 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
• Explanation of the $W$ mass shift at CDF II in the Georgi-Machacek Model
• A benchmark for LHC searches for low-mass custodial fiveplet scalars in the Georgi-Machacek model
• Explaining The CDF-II W-Boson Mass Anomaly in the Georgi-Machacek Extension Models
• Unavoidable Higgs coupling deviations in the $Z_2$-symmetric Georgi-Machacek model
• Unitarity constraints in triplet extensions beyond the large s limit
• Some new observations for the Georgi-Machacek scenario with triplet Higgs
• CP Violation in a Model with Higgs Triplets
• Investigating New Physics Models with Signature of Same-Sign Diboson + ${E/}_T$
• Probing the Inert Doublet Model via Vector-Boson Fusion at a Muon Collider
• Impact of one-loop corrections to trilinear scalar couplings on di-Higgs production in the RxSM
• Di-Higgs production as a probe of flavor changing neutral Yukawa couplings
• Doubly charged Higgs boson at same-sign lepton colliders
• Investigating a strong first-order electroweak phase transition in the RxSM at future linear $e^{+}{e}^{-}$ colliders and LISA
• Refining two-loop corrections to trilinear Higgs couplings in the Two-Higgs-Doublet Model
• Positive definiteness constraints of effective scalar potential in Georgi-Machacek Model