论文标题

Gluon晶格TMD的一环匹配

One-loop matching for gluon lattice TMDs

论文作者

Schindler, Stella T., Stewart, Iain W., Zhao, Yong

论文摘要

可以通过计算一组相关的欧几里得晶格可观测值并通过分解公式将它们连接起来,从第一原理计算出横向摩肌依赖的Parton分布(TMD)。这项工作着重于连接晶状体晶格准TMD和Continuum collins TMD的领先分解公式。我们计算单环匹配系数,该系数与自旋无关,并且与夸克没有混合。我们证明,该系数满足Casimir缩放相对于一环阶的夸克匹配系数的缩放。我们的结果有助于可靠的晶格QCD计算Gluon TMDS。

Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons. We calculate the one-loop gluon matching coefficient, which is known to be independent of spin and exhibits no mixing with quarks. We demonstrate that this coefficient satisfies Casimir scaling with respect to the quark matching coefficient at one-loop order. Our result facilitates reliable lattice QCD calculations of gluon TMDs.

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