We present a class of cancellation mechanisms to suppress the total contributions of Barr-Zee diagrams to the electron electric dipole moment (eEDM). This class of mechanisms are of particular significance after the new eEDM upper limit, which strongly constrains the allowed magnitude of CP-violation in Higgs couplings and hence the feasibility of electroweak baryogenesis (EWBG), were released by the ACME collaboration in 2013. We point out: if both the CP-odd Higgs-photonphoton (Z boson) and the CP-odd Higgs-electron-positron couplings are turned on, a cancellation may occur either between the contributions of a CP-mixing Higgs boson, with the other Higgs bosons being decoupled, or between the contributions of a CP-even and a CP-odd Higgs bosons. With the assistance of the cancellation mechanisms, a large CP-phase in Higgs couplings with viable electroweak baryogenesis (EWBG) is still allowed. The reopened parameter regions would be probed by the future neutron, mercury EDM measurements, and direct measurements of Higgs CP-properties at the LHC and future colliders.
INTRODUCTIONThe baryon asymmetry in the Universe (BAU) nowadays, i.e., [1,2] n b s ≈ (0.7 − 0.9) × 10 −10 = 0has puzzled people for more than half a century. Here s is entropy density of the Universe. Among various dynamical mechanisms to solve this puzzle, electroweak baryogenesis (EWBG) falls in the most popular class, due to its potential testability at the Large Hadron Collider and in the other experiments. A generic feature of the EWBG is that the CP phases employed to generate the cosmic baryon asymmetry need to enter the couplings between the Higgs sector and particles which either exist in the Standard Model (SM) or are introduced in new physics, no matter the CP-phases are flavor-diagonal, offdiagonal [3], or flavor-decoupled. Otherwise, these CPphases are decoupled from electroweak phase transition (EWPT) and the EWBG will never be implemented. The measurement of the Higgs CP-properties therefore provides important information to solve the BAU puzzle. Motivated by this, the CP-properties of the Higgs boson discovered in 2012 [4] have been extensively studied by both theorists [5][6][7][8][9] and experimental groups [11] since its discovery [4], by using a method of direct measurements at the LHC. Given the limited statistics, however, the sensitivity of the LHC at this stage is still low. On the other hand, fast progress has been made in indirect measurements. Using the polar molecule thorium monoxide (ThO), the ACME collaboration reported an upper limit on the eEDM recently [12] [56]at 90% confidence level, an order of magnitude stronger than the previous best limit. This limit severely constrains the allowed magnitude of CP-phases in the Higgs couplings [6-9] via Barr-Zee diagrams, causing a tension between the observation and the CP-phase required for successfully implementing EWBG (e.g., see [10] where the expected projection of the eEDM bounds to the EWBG in the MSSM was studied.) [57].In this letter we point out that in these studi...