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arXiv 1702.01412hep-ph
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$B^0\rightarrow ψ(2S)π^0$衰变分支分数的估计

Estimating the branching fraction for $B^0\rightarrow ψ(2S)π^0$ decay

Behnam Mohammadi

摘要:

我目前的估计分支分数的非轻子粲偶素两体衰变率的$B^0\rightarrow ψ(2S)π^0$衰变和相同的衰变的$B^+\rightarrow ψ(2S)π^+$,$B^0\rightarrow ψ(2S)K^0$和$B^+\rightarrow ψ(2S)K^+$。这些估计是基于一个广义因式分解的方法,利用领先的顺序(LO)和下一个领先的顺序(NLO)的贡献。我们发现,当考虑到QCD因子分解对NLO贡献的较大增强时,分支比为:$Br(B^0\rightarrow ψ(2S)π^0)=(1.067\pm0.059)\times10^{-5}$,$Br(B^+\rightarrow ψ(2S)π^+)=(2.134\pm0.0.118)\times10^{-5}$,$Br(B^0\rightarrow ψ(2S)K^0)=(6.344\pm0.376)\times10^{-4}$和$Br(B^+\rightarrow ψ(2S)K^+)=(6.344\pm0.376)\times10^{-4}$,而实验结果分别为:$(1.17\pm 0.17)\times 10^{-5}$,$(2.44\pm 0.30)\times 10^{-5}$,$(6.20\pm 0.50)\times 10^{-4}$和$(6.39\pm 0.33)\times 10^{-4}$.所有的估计都与实验结果吻合得很好。

英文摘要:

I present estimates of the branching fractions in the non-leptonic charmonium two-body decay rates for $B^0\rightarrow ψ(2S)π^0$ decay and the same decays of $B^+\rightarrow ψ(2S)π^+$, $B^0\rightarrow ψ(2S)K^0$ and $B^+\rightarrow ψ(2S)K^+$. These estimates are based on a generalized factorization approach making use of leading order (LO) and next-to-leading order (NLO) contributions. I find that when the large enhancements from the known NLO contributions by using the QCD factorization approach are taken into account, the branching ratios are the following: $Br(B^0\rightarrow ψ(2S)π^0)=(1.067\pm0.059)\times10^{-5}$, $Br(B^+\rightarrow ψ(2S)π^+)=(2.134\pm0.0.118)\times10^{-5}$, $Br(B^0\rightarrow ψ(2S)K^0)=(6.344\pm0.376)\times10^{-4}$ and $Br(B^+\rightarrow ψ(2S)K^+)=(6.344\pm0.376)\times10^{-4}$, while the experimental results are $(1.17\pm 0.17)\times 10^{-5}$, $(2.44\pm 0.30)\times 10^{-5}$, $(6.20\pm 0.50)\times 10^{-4}$ and $(6.39\pm 0.33)\times 10^{-4}$ respectively. All estimates are in good agreement with the experimental results.

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