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arXiv 2409.09667hep-ph
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twist-3非极化横动量依赖部分子分布函数的演化

Evolution of unpolarized transverse momentum dependent parton distributions of twist-3

Xue-Tao Liu, Ping-An Liu, Yu-Lu Liu, An-Ping Chen

AI总结:

本文通过图展开和指数调节子,重新推导了$\mathcal{O}(α_s)$下四个非极化twist-3 TMD PDFs的演化方程,发现其由八个齐次方程支配,为高阶微扰计算奠定基础。

摘要:

我们重新审视了在$\mathcal{O}(α_s)$下四个非极化twist-3横动量依赖(TMD)部分子分布函数(PDFs)演化方程的计算。与文献中基于背景场方法的现有计算不同,我们直接通过图展开推导了演化方程。此外,我们没有使用$δ$调节子,而是采用指数调节子来正规化快度发散。我们发现四个twist-3 TMD PDFs的演化由八个齐次方程支配。我们的演化核与文献中的一组结果一致,但与另一组结果相差一个符号。鉴于指数调节子在高阶微扰计算中的优势,我们的结果对于计算$\mathcal{O}(α_s^2)$下的twist-3 TMD PDFs至关重要。

英文摘要:

We revisit the calculation of the evolution equations for four unpolarized twist-3 transverse momentum dependent (TMD) parton distribution functions (PDFs) at $\mathcal {O}(α_s)$. Unlike the existing calculations in the literature, which are based on the background field method, we derive the evolution equations directly through diagram expansion. Additionally, instead of using the $δ$ regulator, we employ the exponential regulator to regularize the rapidity divergences. We find that the evolutions of the four twist-3 TMD PDFs are governed by eight homogeneous equations. Our evolution kernels agree with one set of results in the literature, but differ from another by a sign. Considering the advantages of the exponential regulator in high-order perturbative calculations, our results are crucial for computing the twist-3 TMD PDFs at $\mathcal {O}(α_s^2)$.

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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