Study of the mixing in the decays

Zhi-Qing Zhang; Hongxia Guo; Si-Yang Wang

doi:10.1140/epjc/s10052-018-5674-7

EPJ

Study of the $$K_1(1270)-K_1(1400)$$

mixing in the decays $B\rightarrow J/\Psi K_1(1270), J/\Psi K_1(1400)$

Zhi-Qing Zhang¹, Hongxia Guo²^* and Si-Yang Wang¹

¹ Department of Physics, Henan University of Technology, Zhengzhou, 450052, Henan, People’s Republic of China
² School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, Henan, People’s Republic of China

Received: 29 May 2017
Accepted: 25 February 2018
Published online: 15 March 2018

Abstract

We study the B meson decays $B\rightarrow J/\Psi K_1(1270,1400)$ in the pQCD approach beyond the leading order. With the vertex corrections and the NLO Wilson coefficients included, the branching ratios of the considered decays are predicted as $Br(B^+\rightarrow J/\Psi K_1(1270)^+)=1.76^{+0.65}_{-0.69}\times 10^{-3}, Br(B^+\rightarrow J/\Psi K_1(1400)^+)=6.47^{+2.50}_{-2.34}\times 10^{-4}$ , and $Br(B^0\rightarrow J/\Psi K_1(1270)^0)=(1.63^{+0.60}_{-0.64})\times 10^{-3}$ with the mixing angle $\theta _{K_1}=33^\circ$ , which can agree well with the data or the present experimental upper limit within errors. So we support the opinion that $\theta _{K_1}\sim 33^\circ$ is much more favored than $58^{\circ }$ . Furthermore, we also give the predictions of the polarization fractions, the direct CP violations, the relative phase angles for the considered decays with the mixing angle $\theta _{K_1}=33^\circ$ and $58^\circ$ , respectively. The direct CP violations of the two charged decays $B^+\rightarrow J/\Psi K_1(1270,1400)^+$ are very small $(10^{-4}\sim 10^{-5})$ , because the weak phase is very tiny. In order to check the dependence of the results on the nonperturbative input parameters, we also calculate them by using the harmonic-oscillator type wave functions for the $J/\Psi$ meson. These results can be tested at the running LHCb and forthcoming Super-B experiments.

12 Internat. Congress of the Balkan Physical Union
July 8-12, 2025
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EPJ

Study of the mixing in the decays $B\rightarrow J/\Psi K_1(1270), J/\Psi K_1(1400)$

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