QCD corrections of $e^+e^- \to J/ψ+c+\bar{c}$ using the principle of maximum conformality
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929616379183104 |
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| author | Huang, Xu-Dong Wu, Xing-Gang Zheng, Xu-Chang Gong, Bin Wang, Jian-Xiong |
| author_facet | Huang, Xu-Dong Wu, Xing-Gang Zheng, Xu-Chang Gong, Bin Wang, Jian-Xiong |
| contents | In this paper, we compute the total and differential cross sections for $e^+e^- \to J/ψ+c+\bar{c}$ at the $B$ factories up to next-to-leading order (NLO) corrections within the framework of nonrelativistic QCD factorization theory. We then obtain improved pQCD series of those cross sections by using the Principle of Maximum Conformality (PMC). We show that the PMC can be applied for any pQCD calculable observable at the total and differential levels via a self-consistent way in perturbation theory. We observe that a more precise prompt total cross section at the NLO level can be achieved after applying the PMC, e.g. $σ|_{\rm prompt}^{\rm PMC}= 0.565^{+0.144}_{-0.125}~\text{pb}$. Here the uncertainty is the squared average of those from the $α_s$ fixed-point uncertainty $Δα_s(M_Z)$, the uncertainty of charm quark mass $Δm_c$, and an estimated contribution of the uncalculated NNLO-terms as predicted by the Padé approximation approach. The differential cross sections $dσ/dP_{J/ψ}$, $dσ/d|\cos θ|$, and $dσ/dz$ for $e^+e^- \to J/ψ+c+\bar{c}$ are further examined. Those results show that by further considering the feed-down contributions, the PMC predictions show better agreement with the Belle measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14150 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | QCD corrections of $e^+e^- \to J/ψ+c+\bar{c}$ using the principle of maximum conformality Huang, Xu-Dong Wu, Xing-Gang Zheng, Xu-Chang Gong, Bin Wang, Jian-Xiong High Energy Physics - Phenomenology In this paper, we compute the total and differential cross sections for $e^+e^- \to J/ψ+c+\bar{c}$ at the $B$ factories up to next-to-leading order (NLO) corrections within the framework of nonrelativistic QCD factorization theory. We then obtain improved pQCD series of those cross sections by using the Principle of Maximum Conformality (PMC). We show that the PMC can be applied for any pQCD calculable observable at the total and differential levels via a self-consistent way in perturbation theory. We observe that a more precise prompt total cross section at the NLO level can be achieved after applying the PMC, e.g. $σ|_{\rm prompt}^{\rm PMC}= 0.565^{+0.144}_{-0.125}~\text{pb}$. Here the uncertainty is the squared average of those from the $α_s$ fixed-point uncertainty $Δα_s(M_Z)$, the uncertainty of charm quark mass $Δm_c$, and an estimated contribution of the uncalculated NNLO-terms as predicted by the Padé approximation approach. The differential cross sections $dσ/dP_{J/ψ}$, $dσ/d|\cos θ|$, and $dσ/dz$ for $e^+e^- \to J/ψ+c+\bar{c}$ are further examined. Those results show that by further considering the feed-down contributions, the PMC predictions show better agreement with the Belle measurements. |
| title | QCD corrections of $e^+e^- \to J/ψ+c+\bar{c}$ using the principle of maximum conformality |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.14150 |