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Combining the recently reported electric dipole moment (EDM) of $^{199}$Hgatom due to breaking of parity and time-reversal symmetries with the improvedrelativistic atomic calculations, precise limits on the tensor-pseudotensor(T-PT) electron-nucleus (e-N) coupling coefficient and the nuclear Schiffmoment (NSM) interactions are determined. Using these limits with the nuclearcalculations, we infer limits on the EDMs of neutron and proton as $d_n < 2.2\times 10^{-26} |e| \rm{cm}$ and $d_p < 2.1 \times 10^{-25} |e| \rm{cm}$,respectively, and on the quantum chromodynamics (QCD) parameter and thecombined up- and down- quark chromo-EDMs as $|\bar{\theta}| < 1.1 \times10^{-10}$ and $|\tilde{d}_u - \tilde{d}_d| < 5.5 \times 10^{-27} |e|\rm{cm}$,respectively. These are the best limits till date to probe new sources of CPviolation beyond the standard model (SM) from a diamagnetic atom. Role ofconsidering a capable many-body method to account the electron correlationeffects to all orders for inferring the above limits has been highlighted. Fromthis analysis, constraints on the T-PT e-N coupling coefficient with a largerange of mass of a possible dark matter carrier $\chi$ between the atomicelectrons and nucleus are given.

physical review. d/physical review. d.

Improved limits on the hadronic and semi-hadronic CP violating  parameters and role of a dark force carrier in the electric dipole moment of  $^{199}$Hg