论文标题
肾上腺素分布中的肾上腺效应
Renormalon Effects in Quasi Parton Distributions
论文作者
论文摘要
我们研究了亚科克链中的肾小管障碍，等级链图未极化的标准 - 帕顿分布函数（PDF）。我们确认Braun，Vladimirov and Zhang（Arxiv：1810.00048）的断言，主要的IR Renormalon歧义性歧义正式是$ \ Mathcal {o}（λ^2_ 2_ {qcd}/x^2p_z^2p_z^2）$ the $ x $ the parton and parton and $ p_ $ p _ $ \ MATHCAL {O}（δ（x）λ^2_ {qcd}/p_z^2）$贡献，以便保存夸克号。这意味着准PDF和PDF之间的扰动匹配核的收敛最终将失败，而小$ x $。但是，在旨在取消晶格QCD中典型的IR肾上腺素和典型使用的RI/MOM方案的R-Scheme中，我们根据三环泡沫 - 链链图分析发现内核中的良好收敛性。这些结果对于准PDF计划令人鼓舞。但是，只有在完成较高的循环QCD计算后才能得出牢固的结论。
We investigate the renormalon ambiguity from bubble-chain diagrams in the isovector unpolarized quasi-parton distribution function (PDF) of a hadron. We confirm the assertion by Braun, Vladimirov and Zhang (arXiv:1810.00048) that the leading IR renormalon ambiguity is formally an $\mathcal{O}(Λ^2_{QCD}/x^2P_z^2)$ effect, with $x$ the parton momentum fraction and $P_z$ the hadron momentum, together with a new $\mathcal{O}(δ(x)Λ^2_{QCD}/P_z^2)$ contribution such that the quark number is conserved. This implies the convergence of the perturbative matching kernel between a quasi-PDF and a PDF would eventually fail for small $x$. However, in both the R-scheme designed to cancel the leading IR renormalon and the typically used RI/MOM scheme in lattice QCD for the same quasi-PDF, we find good convergence in the kernel based on three-loop bubble-chain diagram analyses. These results are encouraging for the quasi-PDF program. However, firm conclusions can only be drawn after the complete higher loop QCD calculations are carried out.
