Violation of charge conjugation-parity (CP) symmetry plays a major rule in the dominance of matter in our universe. A kind of CP violation results from the asymmetry of the life time measured in M 0 andM 0 , here M is a heavy meson, decays to final states which is referred in the literature as A f . In this paper, we give an estimation of the). Recently a bound on A f has been obtained: (A f ) E x p. = (1.6 ± 1) × 10 −4 . This result motivates further studies on A f in beyond standard model physics. In the framework of two Higgs doublet model with generic Yukawa structure, we show that |A f | O(10 −7 )which is several orders of magnitude smaller than the current experimental value. Finally, in the framework of leftright symmetric models in which the mixing between the left and the right gauge bosons is allowed and the left-right symmetry is not manifest at unification scale, we find that A f can be as large as |A f | O(10 −5 ) which is one order of magnitude smaller than the experimentally measured value by LHCb collaborators.