Branching ratios and CP asymmetries of $B^0 \to η_c f_0$ in the improved perturbative QCD formalism
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2025
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| author | Li, Min-Qi Liu, Xin Zou, Zhi-Tian Li, Ying Xiao, Zhen-Jun |
| author_facet | Li, Min-Qi Liu, Xin Zou, Zhi-Tian Li, Ying Xiao, Zhen-Jun |
| contents | Motivated by the idea of fragmented scalar glueball, we investigate the decays $B^0 \to η_c f_0$ within the improved perturbative QCD (iPQCD) framework by including the known next-to-leading order corrections. Here, $B^0$ and $f_0$ denote the neutral $B_{d,s}^0$ mesons and the light scalar mesons $f_0(500, 980, 1370, 1500)$ under the $q\bar q$ assignment. The CP-averaged branching ratios (BRs) and the CP asymmetries of $B^0 \to η_c f_0$ are evaluated with the $f_0(500)[f_0(1370)]-f_0(980)[f_0(1500)]$ mixing in quark-flavor basis. For effective comparisons with the near-future measurements, we further derive the $B^0 \to η_c f_0 (\to π^+ π^-/K^+ K^-)$ BRs under the narrow-width approximation. ${\rm BR}(B_s^0 \to η_c f_0(980) (\to π^+ π^-))= (2.87^{+1.38}_{-1.29}) \times 10^{-4}$ and ${\rm BR}(B_d^0 \to η_c f_0(500)(\to π^+π^-))/{\rm BR}(B_s^0 \to η_c f_0(980)(\to π^+π^-)) = (12^{+8}_{-7})\%$ obtained in the iPQCD formalism agree with the available measurements and/or predictions within uncertainties. Large BRs of $B_s^0 \to η_c f_0(1500) (\to π^+ π^-/K^+ K^-)$ and large direct CP asymmetries of $B^0 \to η_c f_0(1370, 1500)$ are accessible in the LHCb and Belle-II experiments. The experimental tests of these iPQCD predictions would help us to understand the nature of these light scalars more deeply and provide evidences to decipher $f_0(1500)$ as a primary or fragmented scalar glueball potentially. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_23578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Branching ratios and CP asymmetries of $B^0 \to η_c f_0$ in the improved perturbative QCD formalism Li, Min-Qi Liu, Xin Zou, Zhi-Tian Li, Ying Xiao, Zhen-Jun High Energy Physics - Phenomenology High Energy Physics - Experiment Motivated by the idea of fragmented scalar glueball, we investigate the decays $B^0 \to η_c f_0$ within the improved perturbative QCD (iPQCD) framework by including the known next-to-leading order corrections. Here, $B^0$ and $f_0$ denote the neutral $B_{d,s}^0$ mesons and the light scalar mesons $f_0(500, 980, 1370, 1500)$ under the $q\bar q$ assignment. The CP-averaged branching ratios (BRs) and the CP asymmetries of $B^0 \to η_c f_0$ are evaluated with the $f_0(500)[f_0(1370)]-f_0(980)[f_0(1500)]$ mixing in quark-flavor basis. For effective comparisons with the near-future measurements, we further derive the $B^0 \to η_c f_0 (\to π^+ π^-/K^+ K^-)$ BRs under the narrow-width approximation. ${\rm BR}(B_s^0 \to η_c f_0(980) (\to π^+ π^-))= (2.87^{+1.38}_{-1.29}) \times 10^{-4}$ and ${\rm BR}(B_d^0 \to η_c f_0(500)(\to π^+π^-))/{\rm BR}(B_s^0 \to η_c f_0(980)(\to π^+π^-)) = (12^{+8}_{-7})\%$ obtained in the iPQCD formalism agree with the available measurements and/or predictions within uncertainties. Large BRs of $B_s^0 \to η_c f_0(1500) (\to π^+ π^-/K^+ K^-)$ and large direct CP asymmetries of $B^0 \to η_c f_0(1370, 1500)$ are accessible in the LHCb and Belle-II experiments. The experimental tests of these iPQCD predictions would help us to understand the nature of these light scalars more deeply and provide evidences to decipher $f_0(1500)$ as a primary or fragmented scalar glueball potentially. |
| title | Branching ratios and CP asymmetries of $B^0 \to η_c f_0$ in the improved perturbative QCD formalism |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2507.23578 |