ATLAS 2.76 TeV单喷注实验数据对CT18NNLO部分子分布函数的影响

doi:10.3969/j.issn.1000-5641.2024.04.003

摘要/Abstract

摘要：

通过ePump (error PDF (parton distribution function) updating method package)研究了大型强子对撞机(large hadron collider, LHC)在质心能量$ \sqrt{s}=2.76 $ TeV时, 来自ATLAS (a toroidal LHC apparatus)探测器单喷注的双微分散射截面的实验数据对CT18NNLO (next-to-next-to-leading order)部分子分布函数(PDF)的影响. 首先, 使用CT18NNLO 部分子分布函数计算了单喷注的双微分散射截面, 观察到理论预测与实验数据符合得较好; 其次, 计算了单喷注双微分散射截面的理论预测值与CT18NNLO胶子部分子分布函数的关联余弦$\mathrm{c}\mathrm{o}\mathrm{s}\phi$; 最后, 使用ePump更新了CT18NNLO 部分子分布函数, 并研究了实验数据与全局拟合数据间的冲突. 通过比较在$ Q=100 $ GeV时CT18NNLO 胶子部分子分布函数和ePump更新的胶子部分子分布函数, 发现ATLAS 2.76 TeV单喷注双微分散射截面实验数据在大和小的动量分数$ x $区域对CT18NNLO 胶子部分子分布函数的约束较小.

关键词: 部分子分布函数, 单喷注, 双微分散射截面

Abstract:

This study aimed to investigate the impact of the inclusive jet double differential cross-section data retrieved from the ATLAS at the large hadron collider(LHC), at the center-of-mass energy of $ \sqrt{s}=2.76 $ TeV, on CT18NNLO parton distribution functions(PDFs) by applying the error PDF updating method package(ePump). First, the inclusive jet double differential cross-sections were calculated with non-perturbative correction using the CT18NNLO PDFs. It was observed that the theoretical predictions concurred with the experimental data. Thereafter, the correlation $ \mathrm{c}\mathrm{o}\mathrm{s}\phi $ was established between theoretical predictions for the inclusive jet double differential cross-sections and the CT18NNLO gluon PDFs. Finally, the ePump was applied to update the CT18NNLO PDFs; the differences between these data and the original global fitting data were investigated. The CT18NNLO gluon PDFs and ePump updated gluon PDFs were compared at $ Q=100 $ GeV, and it was found that the ATLAS 2.76 TeV inclusive jet double differential cross-sections data could slightly constrain the CT18NNLO gluon PDFs at both small and large $ x $ regions.

Key words: parton distribution function(PDF), inclusive jet, double differential cross-section

中图分类号:

O572.2

徐颖, 范红豪, 沙依甫加马力·达吾来提. ATLAS 2.76 TeV单喷注实验数据对CT18NNLO部分子分布函数的影响[J]. 华东师范大学学报（自然科学版）, 2024, 2024(4): 30-39.

Ying XU, Honghao FAN, Sayipjamal DULAT. Impact of ATLAS 2.76 TeV inclusive jet experimental data on CT18NNLO parton distribution functions[J]. Journal of East China Normal University(Natural Science), 2024, 2024(4): 30-39.

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${p}_{\rm{T} }/{\rm{G} }{\rm{e} }{\rm{V} }$	$\dfrac{ { { {\rm{d} }^2}\sigma } }{ { {\rm{d} }{p_{\rm{T}}}{\rm{d} }y} }\bigg/\left({\rm{pb} } \cdot {\rm{GeV} }^{-1}\right)$
${p}_{\rm{T} }/{\rm{G} }{\rm{e} }{\rm{V} }$	$ \;\;0 < \left\| y \right\| < 0.3$	$ \;\;0.3\le \left\|{y}\right\| < 0.8 $	$ \;\;0.8\le \left\|{y}\right\| < 1.2 $	$\;\; 1.2\le \left\|{y}\right\| < 2.1 $	$ \;\;2.1\le \left\|{y}\right\| < 2.8 $
[20, 30)	1.5384600×10³	1.4377704×10³	1.3798916×10³	1.1331925×10³	7.7329912×10²
[30, 45)	2.2150128×10²	2.1154679×10²	1.9738048×10²	1.5469616×10²	9.5632160×10
[45, 60)	3.6918489×10	3.5139399×10	3.2166894×10	2.4144088×10	1.2999824×10
[60, 80)	8.2326240×10⁰	7.7657465×10⁰	6.9798336×10⁰	4.9971456×10⁰	2.1736095×10⁰
[80, 110)	1.5937779×10⁰	1.4892895×10⁰	1.3137586×10⁰	8.6743123×10^–1	2.6233632×10^–1
[110, 160)	2.2234142×10^–1	2.0566672×10^–1	1.7563194×10^–1	9.9943340×10^–2	1.4918304×10^–2
[160, 210)	2.8505367×10^–2	2.5983342×10^–2	2.0688327×10^–2	8.9323641×10^–3	3.1890336×10^–4
[210, 260)	5.5600776×10^–3	4.9568112×10^–3	3.6112230×10^–3	1.1091663×10^–3	5.0718720×10^–6
[260, 310)	1.3863267×10^–3	1.1994840×10^–3	7.7967450×10^–4	1.6426773×10^–4
[310, 400)	2.8738809×10^–4	2.3623479×10^–4	1.2890493×10^–4	1.6709517×10^–5
[400, 500)	3.7418436×10^–5	2.7636345×10^–5

${p}_{\rm{T} }/\mathrm{G}\mathrm{e}\mathrm{V}$	$\dfrac{ {\mathrm{d} }^{2}\sigma }{\mathrm{d}{p}_{\rm{T}}\mathrm{d}y}\bigg/\left({\rm{pb} } \cdot {\rm{GeV} }^{-1}\right)$
${p}_{\rm{T} }/\mathrm{G}\mathrm{e}\mathrm{V}$	$ \;\;0 < \left\|y\right\| < 0.3 $	$ \;\;0.3\le \left\|y\right\| < 0.8 $	$ \;\;0.8\le \left\|y\right\| < 1.2 $	$ \;\;1.2\le \left\|y\right\| < 2.1 $	$ \;\;2.1\le \left\|y\right\| < 2.8 $
[20, 30)	2.4598500×10³	2.3500976×10³	2.2529250×10³	1.8152484×10³	1.2019476×10³
[30, 45)	3.1228960×10²	3.0145236×10²	2.7660253×10²	2.1633248×10²	1.2973834×10²
[45, 60)	4.7902672×10	4.6029260×10	4.1514395×10	3.1097089×10	1.6409610×10
[60, 80)	1.0089798×10	9.6171296×10⁰	8.5636408×10⁰	6.0756592×10⁰	2.6591448×10⁰
[80, 110)	1.8820632×10⁰	1.7670888×10⁰	1.5513139×10⁰	1.0261035×10⁰	3.1419532×10^–1
[110, 160)	2.5800186×10^–1	2.3948886×10^–1	2.0121438×10^–1	1.1688440×10^–1	1.7786040×10^–2
[160, 210)	3.2501178×10^–2	2.9795730×10^–2	2.3448882×10^–2	1.0270738×10^–2	3.8745098×10^–4
[210, 260)	6.3145956×10^–3	5.6262384×10^–3	4.0857630×10^–3	1.2736568×10^–3	6.3790372×10^–6
[260, 310)	1.5750738×10^–3	1.3602210×10^–3	8.7494478×10^–4	1.8761759×10^–4
[310, 400)	3.2443446×10^–4	2.6577324×10^–4	1.4503890×10^–4	1.9276656×10^–5
[400, 500)	4.1876406×10^–5	3.1086030×10^–5

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