Abstract
Null results from searches for new physics at the Large Hadron Collider (LHC) tend to enforce the belief that new particles must be much heavier than the weak scale. We undertake a systematic study of the interplay between Higgs alignment and $CP$-violation in complex two-Higgs-doublet models, which enables us to construct a $CP$-violating scenario where new Higgs bosons are close to the weak scale after including stringent constraints from the electric dipole moment and measurements at the LHC. In addition, we propose a novel potential signal of $CP$-violation in the Higgs-to-Higgs decays, ${h}_{3}\ensuremath{\rightarrow}{h}_{2}{h}_{1}$, where ${h}_{3}$, ${h}_{2}$, and ${h}_{1}$ are the heaviest, second heaviest and the Standard Model-like neutral Higgs bosons, respectively. The decay could manifest itself in triple boson final states in ${h}_{1}{h}_{1}{h}_{1}$ and ${h}_{1}{h}_{1}Z$, which are quite distinct and provide unique venues for new measurements at the LHC.
Highlights
CP-violation (CPV) is a critical ingredient for the matterantimatter asymmetry in the Universe [1] and its presence is of existential significance
We undertake a systematic study of the interplay between Higgs alignment and CP-violation in complex two-Higgs-doublet models, which enables us to construct a CP-violating scenario where new Higgs bosons are close to the weak scale after including stringent constraints from the electric dipole moment and measurements at the Large Hadron Collider (LHC)
The Higgs-loops contributions are both related to the CP property of Yukawa interaction and the coupling of gHÆH∓hj, which depends on ε, θ23, θ12, and depends on Re1⁄2Z 7. After consider both electron EDM (eEDM) and nEDM, we found that the eEDM constraints are stronger than those from the neutron electric dipole moment (EDM), so we only show the relevant plots for eEDM
Summary
CP-violation (CPV) is a critical ingredient for the matterantimatter asymmetry in the Universe [1] and its presence is of existential significance. The first result suggests that new particles, if present, should be much heavier than the weak scale, while the latter implies a dominantly CP-even 125 GeV Higgs In light of these considerations, it becomes clear that we must reevaluate the possibility of CPV in 2HDM under the assumption of a SM-like 125 GeV Higgs, which is dubbed the alignment limit [19,20,21]. Kinematic distributions are only sensitive to CPV in the mixing This realization allows us to construct a benchmark scenario where new Higgs bosons are not far above the weak scale, at around 500 GeV or lighter, and propose a novel signature of CPV, without recourse to angular correlations or electric dipole moment (EDM) signals, in the Higgs-to-Higgs decay, (h3 → h2h1 → 3h1), whose existence is sufficient to establish CPV in. Our benchmark survives constraints from EDMs [29,30,31,32,33] and collider measurements, and could be discovered at the LHC in the near future
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