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Higgs Alignment and Novel CP-Violating Observables in 2HDM
Null results from searches for new physics at the Large Hadron Collider (LHC) 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 (C2HDMs), 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 smoking-gun signal of CP-violation in the Higgs-to-Higgs decay, (h3 → h2h1 → 3h1), where h3,h2, and h1 are the heaviest, second heaviest and the SM-like neutral Higgs bosons, respectively. The mere presence of this decay channel is sufficient to establish CP-violation in C2HDMs. The final state with three 125 GeV Higgs bosons is distinct and provides a unique venue for new measurements at the LHC.