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arXiv 2205.03414hep-phhep-exnucl-exnucl-th
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共形对撞机与大型强子对撞机（LHC）的相遇

Conformal Colliders Meet the LHC

Kyle Lee, Bianka Meçaj, Ian Moult

备注：
5 pages, 4 colorful figures of light-ray operator scaling
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AI总结：

本文利用有效场理论推导了LHC高横动量喷注内光线密度矩阵的严格因子化定理，结合次领头阶计算与CMS开放数据比较了高达六点的能流关联子标度行为，解析了QCD光线算子的量子标度维数，为精确喷注子结构研究奠定基础。

摘要：

大型强子对撞机（LHC）极高的能量使得首次测量能流算子的多点关联子形状与标度行为成为可能，$\langle Ψ| \mathcal{E}(\vec n_1) \mathcal{E}(\vec n_2) \cdots \mathcal{E}(\vec n_k) |Ψ\rangle$，为量子色动力学（QCD）的洛伦兹动力学提供了新见解。在本快报中，我们利用有效场理论的最新进展，推导出了LHC高横动量喷注内光线密度矩阵 $ρ= |Ψ\rangle \langle Ψ|$ 的严格因子化定理。利用光线算符乘积展开，多点关联子的标度行为可以通过计算twist-2 spin-$J$ 光线算子 $\mathbb{O}^{[J]}$ 在该状态下的期望值 $\text{Tr}[ ρ~\mathbb{O}^{[J]} ]$ 来求得。我们在次领头阶计算了光线密度矩阵，并将其与高达六点关联子的次领头对数标度行为结果相结合，与 CMS Open Data 进行了比较。这一理论精度使我们能够解析 LHC 喷注内 QCD 光线算子的量子标度维数。我们关于 LHC 光线密度矩阵的因子化定理完善了能流关联子研究与 LHC 物理之间的联系，为广泛的精确喷注子结构研究打开了大门。

英文摘要：

The remarkably high energies of the Large Hadron Collider (LHC) have allowed for the first measurements of the shapes and scalings of multi-point correlators of energy flow operators, $\langle Ψ| \mathcal{E}(\vec n_1) \mathcal{E}(\vec n_2) \cdots \mathcal{E}(\vec n_k) |Ψ\rangle$, providing new insights into the Lorentzian dynamics of quantum chromodynamics (QCD). In this Letter, we use recent advances in effective field theory to derive a rigorous factorization theorem for the light-ray density matrix, $ρ= |Ψ\rangle \langle Ψ|$, inside high transverse momentum jets at the LHC. Using the light-ray operator product expansion, the scaling behavior of multi-point correlators can be computed from the expectation value of the twist-2 spin-$J$ light-ray operators, $\mathbb{O}^{[J]}$, in this state, $\text{Tr}[ ρ~\mathbb{O}^{[J]} ]$. We compute the light-ray density matrix at next-to-leading order, and combine this with results for the next-to-leading logarithmic scaling behavior of the correlators up to six-points, comparing with CMS Open Data. This theoretical accuracy allows us to resolve the quantum scaling dimensions of QCD light-ray operators inside jets at the LHC. Our factorization theorem for the light-ray density matrix at the LHC completes the link between recent developments in the study of energy correlators and LHC phenomenology, opening the door to a wide variety of precision jet substructure studies.

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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