Communication: Theoretical study of ThO for the electron electric dipole moment search

Abstract

An experiment to search for the electron electric dipole moment (eEDM) on the metastable H 3 1 state of ThO molecule was proposed and now prepared by the ACME Collaboration [http://www.electronedm.org]. To interpret the experiment in terms of eEDM and dimensionless constant k T, P characterizing the strength of the T,P-odd pseudoscalar-scalar electron-nucleus neutral current interaction, an accurate theoretical study of an effective electric field on electron, E eff , and a parameter of the T,P-odd pseudoscalar-scalar interaction, W T ,P , in ThO is required. We report our results for E eff (84 GV/cm) and W T ,P (116 kHz) together with the hyperfine structure constant, molecule frame dipole moment, and H 3 1 → X 1 + transition energy, which can serve as a measure of reliability of the obtained E eff and W T ,P values. Besides, our results include a parity assignment and evaluation of the electric-field dependence for the magnetic g factors in the -doublets of H 3 1 .

Zeeman interaction in ThOH3Δ1for the electron electric-dipole-moment search

“…Note that this definition of the g factor for the J = 1 H 3 1 state differs by a factor of −2 from that given in Ref. [26].…”

“…(3) using only angular momentum algebra. The DIRAC12 [32] and MRCC [33] codes are employed to calculate the matrix elements (5,7,10,11) [26,36,37].…”

Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions

“…The conversion of the ThO measurement into a bound on d e entails a theoretical uncertainty from atomic and molecular dynamics, estimated at the 15% level [85,86]. Since this is substantially below the hadronic and nuclear uncertainties, we neglect it in our analysis.…”

Electric dipole moments: A global analysis

“…The quantities W d and W S that give the sensitivities of the molecular energy to the electron EDM and electron-quark interaction are obtained from molecular structure calculations [36][37][38]. The resulting ground state matrix element in the presence of an external electric field E ext is…”