Abstract
We study the two-Higgs-doublet model with type-II seesaw mechanism. In view of constraints from the Higgs data, we consider the aligned two-Higgs-doublet scheme and its effects on muon anomalous magnetic dipole moment, $a_{\mu}$, including both one-loop and two-loop Barr-Zee type diagrams. Thanks to a sizable trilinear scalar coupling, the Barr-Zee type diagrams mediated by the Higgs triplet fields have a dominant effect on $a_{\mu}$. In particular, unlike the usual two-Higgs-doublet models that require exotic Higgs bosons light in mass, the masses of the corresponding particles in the model are of ${\cal O}(100)$~GeV. The doubly-charged Higgs boson presents a different decay pattern from the usual Higgs triplet model and thus calls for a new collider search strategy, such as multi-$\tau$ searches at the LHC.
Highlights
A long-standing anomaly in particle physics is the muon anomalous magnetic dipole moment denoted by aμ ≡ ðg − 2Þμ=2, where the data and Standard Model (SM) show an over 3σ disagreement
We study the contributions of a model with an extended scalar sector to the muon g − 2 when the relevant theoretical and experimental constraints are taken into account
We have studied an extension of the Standard Model only in the scalar sector, with the addition of one Higgs doublet and one complex Higgs triplet, rending a two-Higgs-doublet model (2HDM) with the type-II seesaw mechanism
Summary
A long-standing anomaly in particle physics is the muon anomalous magnetic dipole moment (dubbed the muon g − 2 anomaly) denoted by aμ ≡ ðg − 2Þμ=2, where the data and Standard Model (SM) show an over 3σ disagreement. Since the discovery of Higgs boson at the LHC in 2012 summer, measurements of the Higgs signal strengths, commonly used as a measure of deviations from the SM, have been improving over the years They are found to be quite consistent with the SM expectations and, models with extensions in the scalar sector are severely constrained. It is found that rather than a simple combination of the 2HDM and the type-II seesaw model ( called the Higgs triplet model or HTM), the model presents several interesting features: 1. The coupling between the heavier neutral Higgs boson in the 2HDM and the doubly charged Higgs boson in the HTM can significantly enhance the muon g − 2 through two-loop Barr-Zee type diagrams [43,44], even when the heavier neutral Higgs mass is ∼Oð100Þ GeV. The full scalar mass matrices and their approximations in the limit of neglecting vΔ are given in Appendix A
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