New physics signature in $$D^0 (\bar{D}^0)\rightarrow f$$ D0(D¯0)→f effective width asymmetries

Abstract Violation of charge conjugation-parity ($$\mathrm CP$$ CP ) symmetry plays a major rule in the dominance of matter in our universe. A kind of $$\mathrm CP$$ CP violation results from the asymmetry of the life time measured in $$M^0$$ M0 and $${\bar{M}}^0$$ M¯0, here M is a heavy meson, decays to final states which is referred in the literature as $$A_{\Gamma }^f$$ AΓf. In this paper, we give an estimation of the upper bound on $$|A_{\Gamma }^f|$$ |AΓf| for the Cabibbo Favored $$D^0 \rightarrow K^- \pi ^+$$ D0→K-π+ decay process in different models. We show that in the standard model, $$|A_{\Gamma }^f| \lesssim {\mathcal {O}} (10^{-10})$$ |AΓf|≲O(10-10). Recently a bound on $$A_{\Gamma }^f$$ AΓf has been obtained: $$(A^f_{\Gamma })^{Exp.}= (1.6 \pm 1)\times 10^{-4}$$ (AΓf)Exp.=(1.6±1)×10-4. This result motivates further studies on $$A_{\Gamma }^f$$ AΓf in beyond standard model physics. In the framework of two Higgs doublet model with generic Yukawa structure, we show that $$|A_\Gamma ^{f}|\lesssim {\mathcal {O}} (10^{-7})$$ |AΓf|≲O(10-7) which is several orders of magnitude smaller than the current experimental value. Finally, in the framework of left-right 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 $$A_{\Gamma }^f$$ AΓf can be as large as $$|A_{\Gamma }^f|\lesssim {\mathcal {O}} (10^{-5})$$ |AΓf|≲O(10-5) which is one order of magnitude smaller than the experimentally measured value by LHCb collaborators.

Abstract licence: CC BY

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