Some new observations for the Georgi-Machacek scenario with triplet Higgs

Abstract

The Georgi-Machacek model, introducing a complex and a real scalar triplet as additional components of the electroweak symmetry breaking sector, enables substantial triplet contributions to the weak gauge boson masses, subject to the equality of the complex and the real triplet vacuum expectation values (vev) via a custodial SU(2) symmetry. We present an updated set of constraints on this scenario, from collider data (including those from 137/139~fb${}^{-1}$ of luminosity at the Large Hadron Collider), available data on the 125-GeV scalar, indirect limits and also theoretical restrictions from vacuum stability and unitarity. It is found that some bounds get relaxed, and the phenomenological potential of the scenario is more diverse, if the doubly charged scalar in the spectrum can decay not only into two like-sign $W$'s but also into one or two singly charged scalars. Other interesting features are noticed in a general approach, such as substantial $\gamma \gamma$ and $Z\gamma$ branching ratios of the additional custodial singlet scalar, and appreciable strength of the trilinear interaction of a charged scalar, the $W$ and the $Z$. Finally,, we take into account the possibility of custodial SU(2) breaking, resulting in inequality of the real and the complex scalar vevs which too in principle may allow large triplet contribution to weak boson masses. Illustrative numerical results on the modified limits and predictions are presented, once more taking into account all the constraints mentioned above.

17 pages, 9 figures

References in corpus (14)

• HiggsSignals-2: Probing new physics with precision Higgs measurements in the LHC 13 TeV era
• The decoupling limit in the Georgi-Machacek model
• Unitarity bounds in the Higgs model including triplet fields with custodial symmetry
• Indirect constraints on the Georgi-Machacek model and implications for Higgs couplings
• A Minimal Type II Seesaw Model
• Novel Constraint on Parameter Space of the Georgi-Machacek Model by Current LHC Data
• Electroweak Phase Transition in Georgi-Machacek Model
• Search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector boson pairs in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Measurements of Higgs boson production cross-sections in the $H\to {\tau }^{+}{\tau }^{-}$ decay channel in $pp$ collisions at $\sqrt{s}=13\text{TeV}$ with the ATLAS detector
• Supersymmetric Custodial Higgs Triplets and the Breaking of Universality
• Constraints on Higgs boson properties using $W{W}^{\ast }(\to e\nu \mu \nu )jj$ production in 36.1 fb${}^{-1}$ of $\sqrt{s}$=13 TeV $pp$ collisions with the ATLAS detector
• Unavoidable Higgs coupling deviations in the $Z_2$-symmetric Georgi-Machacek model
• Radiative corrections to Higgs couplings with weak gauge bosons in custodial multi-Higgs models
• Custodial symmetry, Georgi-Machacek model, and other scalar extensions

Cited by in corpus (8)

• New physics implications of VBF searches exemplified through the Georgi-Machacek model
• Interpretation of 95 GeV Excess within the Georgi-Machacek Model in Light of Positive Definiteness Constraints
• The $\rho$ parameter and the CDF W-mass anomaly: observations on the role of scalar triplets
• Charged Higgs decay to $W^{\pm }$ and heavy neutral Higgs decaying into ${\tau }^{+}{\tau }^{-}$ in Georgi Machacek Model at LHC
• Diphoton signals for the Georgi-Machacek scenario at the Large Hadron Collider
• LHC Signatures of the Generic Georgi-Machacek Model
• Testing a 95 GeV Scalar at the CEPC with Machine Learning
• Triplet fermion WIMP dark matter in the general supersymmetric Georgi-Machacek model