Calculation of the ratio of branching fractions

Elnaz Amirkhanlou; Behnam Mohammadi

doi:10.1209/0295-5075/ad5909

All issues

Volume 146 / No 6 (June 2024)

EPL, 146 6 (2024) 64001

Abstract

Issue		EPL Volume 146, Number 6, June 2024


Article Number		64001
Number of page(s)		6
Section		Nuclear and plasma physics, particles and fields
DOI		https://doi.org/10.1209/0295-5075/ad5909
Published online		09 July 2024

EPL, 146 (2024) 64001

Calculation of the ratio of branching fractions $\mathcal{B}\textrm{r}(\textrm {B}^+\rightarrow \textrm {D}^+_{\textrm {s}}\textrm {D}^-_{\textrm {s}}\textrm {K}^+)/\mathcal{B}\textrm{r}(\textrm {B}^+\rightarrow \textrm {D}^+\textrm {D}^-\textrm {K}^+)$

Elnaz Amirkhanlou (eliamirkhanlou@yahoo.com) and Behnam Mohammadi (be.mohammadi@urmia.ac.ir)

Department of Physics, Urmia University - Urmia, Iran

Received: 5 April 2024
Accepted: 17 June 2024

Abstract

The LHCb Collaboration has reported for the first time the branching fraction for the $B^+\rightarrow D^+_{s}D^-_{s}K^+$ decay as $(1.15\,\pm0.07\,\pm0.06\,\pm0.38)\times10^{-4}$ . They measured the branching fraction of this decay relative to that of the $B^+\rightarrow D^+D^-K^+$ normalization channel as $\mathcal {R}= 0.525\,\pm0.033\,\pm0.027\,\pm0.034$ . In this work, we have studied the $B^+\rightarrow D^+_{s}D^-_{s}K^+$ and $B^+\rightarrow D^+D^-K^+$ decays in three scales of μ and strong coupling values mesons using a simple model based on the framework of the factorization approach presented. We have obtained $(1.093\,\pm0.314)\times10^{-4}$ for $B^+\rightarrow D^+_{s}D^-_{s}K^+$ decay at $\mu =m_{b}/2$ and $(2.570\,\pm0.202)\times10^{-4}$ for $B^+\rightarrow D^+D^-K^+$ decay at $\mu =2m_{b}$ . We have also estimated $\mathcal {R}=0.403\,\pm0.094$ at $\mu =2m_{b}$ which is consistent with the experimental result.

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