Abstract
Decades of precision measurements have firmly established the Kobayashi-Maskawa phase as the dominant source of the charge-parity (CP) violation observed in weak quark decays. However, it is still unclear whether CP violation is explicitly encoded in complex Yukawa matrices or instead stems from spontaneous symmetry breaking with underlying CP-conserving Yukawa and Higgs sectors. Here we study the latter possibility for the case of a generic two-Higgs-doublet model. We find that theoretical constraints limit the ratio t_{β} of the vacuum expectation values (vevs) to the range 0.22≤t_{β}≤4.5 and imply the upper bounds M_{H^{±}}≤435 GeV, M_{H_{2}^{0}}≤485 GeV and M_{H_{3}^{0}}≤545 GeV for the charged and extra neutral Higgs masses. We derive lower bounds on charged-Higgs couplings to bottom quarks which provide a strong motivation to study the nonstandard production and decay signatures pp→qbH^{±}(→q^{'}b) with all flavors q,q^{'}=u, c, t in the search for the charged Higgs boson. We further present a few benchmark scenarios with interesting discovery potential in collider analyses.
Highlights
We find that theoretical constraints limit the ratio tβ of the vacuum expectation values to the range 0.22 ≤ tβ ≤ 4.5 and imply the upper bounds MHÆ ≤ 435 GeV, MH02 ≤ 485 GeV and MH03 ≤ 545 GeV for the charged and extra neutral Higgs masses
Given the upper limit on the charged Higgs mass and the constraints from precision observables, these results reveal that charged Higgs searches in non-standard channels have the potential to either support or falsify SCPV as the primary origin of the Kobayashi and T. Maskawa (KM) phase
Summary and conclusions.—We have discussed the generic framework of spontaneous CP violation in the
Summary
Adopting canonical CP transformation rules, CPφiðxμÞ 1⁄4 φÃi ðxμÞ, CP conservation means that all parameters in Eq (1) are real. Since perturbativity does not permit arbitrarily large couplings, the masses of all Higgs bosons are bounded from above. This absence of a decoupling limit in the 2HDM with SCPV has been observed already in Refs. Since the Higgs mass matrices only depend on λ1−7 (besides sξ, tβ, and v), we can trade the seven λi parameters for the four Higgs masses mHÆ, mHi and the three mixing angles sij ≡ sin θij. These mixing angles appear in all couplings of the neutral Higgs mass eigenstates.
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