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arXiv 2103.09070hep-ph
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非极化$ep$碰撞中产生$J/ψ$的$Cos(2ϕ_h)$不对称性

$Cos(2ϕ_h)$ asymmetry in $J/ψ$ production in unpolarized $ep$ collision

Raj Kishore, Asmita Mukherjee, Mariyah Siddiqah

摘要:

本文计算了在未来的电子-离子对撞机(EIC)上电子-质子碰撞产生$J/ψ$的$cos (2 ϕ_h)$不对称性。在广义因式分解的框架下,我们计算了$α_s$中次首阶(NLO)的不对称性。主要的子过程是$γ^* +g \rightarrow J/ψ+g$。在非相对论QCD(NRQCD)框架下计算了$J/ψ$的产生,同时考虑了色单重态和色八重态的贡献。数值估计的$cos(2ϕ_h)$的不对称性给出了未来EIC访问的运动学区域。这种不对称性不仅依赖于胶子TMD的参数化,也依赖于长距离矩阵元(LDME)。在小- $x$的运动学区域,我们采用Gaussian型参数化和McLerran-Venugopalan模型,其中胶子起主导作用.我们得到了相当大的不对称性,这可能是有用的探测质子的线性极化和非极化胶子分布的比例。

英文摘要:

We present a calculation of the $cos (2 ϕ_h)$ asymmetry in $J/ψ$ production in electron-proton collision at the future electron-ion collider (EIC), a useful channel to probe the gluon TMDs. We calculate the asymmetry at next-to-leading order (NLO) in $α_s$ in the framework of generalized factorization. The dominating sub-process is $γ^* +g \rightarrow J/ψ+g$. The production of $J/ψ$ is calculated in the non-relativistic QCD(NRQCD) framework with the inclusion of both color singlet and color octet contributions. Numerical estimates of the $cos(2ϕ_h)$ asymmetry are given in the kinematical region to be accessed by the future EIC. The asymmetry depends on the parameterization of the gluon TMDs, as well as on the long distance matrix elements (LDMEs). We use both Gaussian-type parameterization and McLerran-Venugopalan model for the TMDs in the kinematical region of small-$x$, where the gluons play a dominant role. We obtain sizable asymmetry, which may be useful to probe the ratio of the linearly polarized and the unpolarized gluon distribution in the proton.

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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