Abstract
In this review article, we survey some of our results pertaining to the search for the electric dipole moment of the electron (eEDM), using heavy polar molecules. In particular, we focus on the relativistic coupled cluster method (RCCM) and its applications to eEDM searches in YbF, HgX (X = F, Cl, Br, and I), BaF, HgA (A = Li, Na, and K), and YbOH. Our results are presented in a systematic manner, by first introducing the eEDM and its measurement using molecules, the importance of relativistic many-body theory, and finally our results, followed by future prospects.
Highlights
The electric dipole moment of the electron, which is a parity (P) and time (T) reversal violating property [1,2], is of immense interest in probing fundamental physics, especially beyond the Standard Model (BSM) theories
Our result was an improvement over the previous ones, as they were based on the DF approximation [43], many-body perturbation theory (MBPT) [44], effective core potential methods [45], and the configuration interaction (CI) method in the singles and doubles approximation [46]
Our accurate result leads to an increase in the value of the upper bound on the electric dipole moment of the electron (eEDM) to 11.8 × 10−28 e-cm, as compared to the earlier result of 10.5 × 10−28 e-cm
Summary
The electric dipole moment of the electron (eEDM), which is a parity (P) and time (T) reversal violating property [1,2], is of immense interest in probing fundamental physics, especially beyond the Standard Model (BSM) theories. The eEDM can throw light on the baryon asymmetry in the Universe [5], which attempts to address why our Universe is matter-dominated, while one may expect an early Universe to be created with equal amounts of matter and anti-matter. This connection is associated with the fact that both the not-yet-measured eEDM and the well known value of baryon asymmetry coefficient are CP violating (T violation implies CP violation, due to the CPT theorem [6]). Further details can be found in Ref. [7]
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