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arXiv 1909.08548hep-ph
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通过希格斯玻色子衰变产生$Υ(1S,2S,3S)$和$χ_b(1P,2P,3P)$

Inclusive productions of $Υ(1S,2S,3S)$ and $χ_b(1P,2P,3P)$ via the Higgs boson decay

Zhan Sun, Yang Ma

摘要:

本文在非相对论QCD框架下,对标准模型希格斯玻色子衰变过程中$Υ(nS)$和$χ_b(nP)$的包容产生($n=1,2,3$)进行了完整的$\mathcal O(αα_s^{2})$ -级研究。通过更高的激发态的反馈效应被发现是实质性的。由$H^0 \to b\bar{b}[^3S_1^{[8]}]+g$和$H^0 \to b\bar{b}[^3S_1^{[8]}]+Q+\bar{Q}$($Q=c,b$)组成的色八重态$^3S_1^{[8]}$过程在预测衰变宽度中起着至关重要的作用。此外,我们新计算的对$H^0 \to b\bar{b}[^3S_1^{[8]}]+g$的次主导阶QCD修正可以将其主导阶结果增强3-4倍,随后将总$^3S_1^{[8]}$贡献放大约$40\%$。这种显著的增强将在很大程度上影响唯象结论。对于色单重态$^3P_J^{[1]}$,除了$H^{0} \to b\bar{b}[^3P_J^{[1]}]+b+\bar{b}$外,新引入的轻强子伴随过程$H^{0} \to b\bar{b}[^3P_J^{[1]}]+g+g$也能提供不可忽略的贡献,尤其是对$^3P_2^{[1]}$ .总结所有的贡献,我们有$\mathcal B_{H^0 \to χ_b(nP)+X} \sim 10^{-6}-10^{-5}$和$\mathcal B_{H^0 \to Υ(nS)+X} \sim 10^{-5}-10^{-4}$,它符合目前的LHC实验数据,可以帮助理解重夸克偶素的产生机制以及汤川耦合。

英文摘要:

In this paper, we carry out the complete $\mathcal O(αα_s^{2})$-order study on the inclusive productions of $Υ(nS)$ and $χ_b(nP)$ ($n=1,2,3$) via the Standard Model Higgs boson decay, within the framework of nonrelativistic QCD. The feeddown effects via the higher excited states are found to be substantial. The color-octet $^3S_1^{[8]}$ state related processes consisting of $H^0 \to b\bar{b}[^3S_1^{[8]}]+g$ and $H^0 \to b\bar{b}[^3S_1^{[8]}]+Q+\bar{Q}$ ($Q=c,b$) play a vital role in the predictions on the decay widths. Moreover, our newly calculated next-to-leading order QCD corrections to $H^0 \to b\bar{b}[^3S_1^{[8]}]+g$ can enhance its leading-order result by 3-4 times, subsequently magnifying the total $^3S_1^{[8]}$ contributions by about $40\%$. Such a remarkable enhancement will to a large extent influence the phenomenological conclusions. For the color-singlet $^3P_J^{[1]}$ state, in addition to $H^{0} \to b\bar{b}[^3P_J^{[1]}]+b+\bar{b}$, the newly introduced light hadrons associated process, $H^{0} \to b\bar{b}[^3P_J^{[1]}]+g+g$, can also provide non-negligible contributions, especially for $^3P_2^{[1]}$. Summing up all the contributions, we have $\mathcal B_{H^0 \to χ_b(nP)+X} \sim 10^{-6}-10^{-5}$ and $\mathcal B_{H^0 \to Υ(nS)+X} \sim 10^{-5}-10^{-4}$, which meets marginally nowadays LHC experimental data and can help in understanding the heavy quarkonium production mechanism as well as the Yukawa couplings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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