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Two Top Utilities of Two Higgs Doublets: Electroweak Baryogenesis and Alignment

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 Added by George W.-S. Hou
 Publication date 2017
  fields
and research's language is English




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With two Higgs doublets but without any discrete $Z_2$ symmetry to forbid flavor changing neutral Higgs couplings, new top Yukawa couplings $rho_{tt}$ and $rho_{tc}$ are allowed and naturally complex. Electroweak baryogenesis is remarkably efficient if both $rho_{tt}$ (and $rho_{tc}$) and exotic Higgs quartic couplings are ${cal O}(1)$. Furthermore, the alignment phenomenon, that the observed 125 GeV boson so closely resembles the Standard Model Higgs boson, emerges naturally. One not only has many new flavor and CPV phenomena (modulo SM-like flavor organization plus alignment), but the exotic Higgs bosons $H^0$, $A^0$ and $H^+$ are necessarily sub-TeV in mass, and LHC search should be readjusted.



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Electroweak baryogenesis in a two-Higgs doublet model is a well-motivated and testable scenario for physics beyond the Standard Model. An attractive way of providing $CP$ violation is through flavor-changing Higgs couplings, where the top-charm coupling is hardly constrained. This minimal scenario can be tested by searching for heavy charged and neutral Higgs bosons at the LHC. While the charged Higgs signature requires a dedicated analysis, the neutral Higgs signature will be covered by a general search for same-sign top pairs. Together, they provide a conclusive test of this kind of baryogenesis.
Recently we presented the upgrade of our code BSMPT for the calculation of the electroweak phase transition (EWPT) to BSMPT v2 which now includes the computation of the baryon asymmetry of the universe (BAU) in the CP-violating 2-Higgs-Doublet Model (C2HDM). In this paper we use {tt BSMPT v2} to investigate the size of the BAU that is obtained in the C2HDM with the two implemented approaches FH and VIA to derive the transport equations, by taking into account all relevant theoretical and experimental constraints. We identify similarities and differences in the results computed with the two methods. In particular, we analyse the dependence of the obtained BAU on the parameters relevant for successful baryogenesis. Our investigations allow us to pinpoint future directions for improvements both in the computation of the BAU and in possible avenues taken for model building.
We study some implications of the presence of two inert scalar doublets which are charged under a dark Abelian gauge symmetry. Specifically, we investigate the effects of the new scalars on oblique electroweak parameters and on the interactions of the 125 GeV Higgs boson, especially its decay modes $htogammagamma,gamma Z$, and trilinear coupling, all of which will be probed with improved precision in future Higgs measurements. Moreover, we explore how the inert scalars may give rise to strongly first-order electroweak phase transition and also show its correlation with sizable modifications to the Higgs trilinear coupling.
78 - George W.-S. Hou 2017
We study electroweak baryogenesis driven by the top quark in two Higgs doublet model that allows flavor-changing neutral Higgs couplings. Taking Higgs sector couplings and the additional top Yukawa coupling $rho_{tt}$ to be $mathcal{O}$(1), one naturally has first order electroweak phase transition and sufficient $CP$ violation to fuel the cosmic baryon asymmetry. Even if $rho_{tt}$ vanishes, the favor-changing coupling $rho_{tc}$ can still achieve baryogenesis. Phenomenological consequences such as $tto ch$, $tau to mugamma$, electron electric dipole moment, $htogammagamma$, and $hhh$ coupling are discussed. The extra scalars $H^0$, $A^0$ and $H^pm$ are sub-TeV in mass, and can be searched for at the LHC.
We study $R^2$-Higgs inflation in a model with two Higgs doublets. The context is the general two Higgs doublet model where the Higgs sector of the Standard Model is extended by an additional Higgs doublet. We first discuss the required inflationary dynamics in this two Higgs doublet model, which includes four scalar fields, in the covariant formalism allowing a nonminimal coupling between the Higgs-squared and the Ricci scalar $R$, as well as the $R^2$ term. We find that the parameter space favored by $R^2$-Higgs inflation requires nearly degenerate $m_mathsf{H}$, $m_A$ and $m_{mathsf{H}^pm}$, where $mathsf{H}$, $A$, and $mathsf{H}^pm$ are the extra CP even, CP odd, and charged Higgs bosons in the general two Higgs doublet model taking renormalization group evolutions of the parameters into account. Discovery of such heavy scalars at the Large Hadron Collider are possible if they are in the sub-TeV mass range. Indirect evidences may also emerge at the LHCb and Belle-II experiments, however, to probe the quasi degenerate mass spectra one would likely require future lepton colliders such as the International Linear Collider and the Future Circular Collider.
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