论文标题
TMD碎片功能在n $^3 $ lo
TMD Fragmentation Functions at N$^3$LO
论文作者
论文摘要
我们在扰动QCD中计算了近隔至接头到领先顺序（n $^3 $ lo）处的非极化夸克和Gluon横向依赖的片段化函数（TMDFFS）。该计算基于TMDFF与半包含深度弹性散射横截面的极限之间的关系，其中所有最终状态辐射都与检测到的强子共线。通过分析延续我们最近对DREL-YAN和HIGGS BOSON生产横截面的计算来获得所需的横截面。我们的结果与Luo等人最近的独立计算一致。
We compute the unpolarized quark and gluon transverse-momentum dependent fragmentation functions (TMDFFs) at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. The calculation is based on a relation between the TMDFF and the limit of the semi-inclusive deep inelastic scattering cross section where all final-state radiation becomes collinear to the detected hadron. The required cross section is obtained by analytically continuing our recent computation of the Drell-Yan and Higgs boson production cross section at N$^3$LO expanded around the limit of all final-state radiation becoming collinear to one of the initial states. Our results agree with a recent independent calculation by Luo et al.
