New physics signature in effective width asymmetries

David Delepine; Gaber Faisel; Carlos A. Ramirez

doi:10.1140/epjc/s10052-019-7103-y

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2019) 79: 597
https://doi.org/10.1140/epjc/s10052-019-7103-y

Regular Article - Theoretical Physics

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

David Delepine¹, Gaber Faisel²^* and Carlos A. Ramirez³

¹ Division de Ciencias e Ingenierías, Universidad de Guanajuato, C.P. 37150, León, Guanajuato, Mexico
² Department of Physics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260, Isparta, Turkey
³ Depto. de Física, Universidad de los Andes, A. A. 4976-12340, Bogotá, Colombia

^* e-mail: gaberfaisel@sdu.edu.tr

Received: 29 March 2019
Accepted: 2 July 2019
Published online: 15 July 2019

Abstract

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