论文标题
匹配QCD中的QUARK田地,并以四个循环匹配HQET
Matching the heavy-quark fields in QCD and HQET at four loops
论文作者
论文摘要
重量夸克场的QCD/HQET匹配系数最多可达四个循环。它必须是有限的;这项要求在四循环的重量夸克场更新化常规中产生某些术语的分析结果,这些术语以前仅在数值上已知。非零轻质量质量的效果最多计算出三个回路。详细分析了一类带有两个质量的壳积分。通过将我们的结果指定为QED,我们以四循环精度获得了电子场与Bloch-Nordsieck场之间的关系。
The QCD/HQET matching coefficient for the heavy-quark field is calculated up to four loops. It must be finite; this requirement produces analytical results for some terms in the four-loop on-shell heavy-quark field renormalization constant which were previously only known numerically. The effect of a non-zero lighter-flavor mass is calculated up to three loops. A class of on-shell integrals with two masses is analyzed in detail. By specifying our result to QED, we obtain the relation between the electron field and the Bloch--Nordsieck field with four-loop accuracy.