论文标题
近似四环QCD校正到希格斯 - 波森生产横截面
Approximate four-loop QCD corrections to the Higgs-boson production cross section
论文作者
论文摘要
我们研究了四个回路中Gluon-Gluon融合中包含Higgs-Boson产生的软性和共线（SV）贡献。使用夸克和gluon形式的最新进度以及分裂功能的梅林矩矩，我们能够完全按照大量颜色的极限来完成软光洛的增强贡献，并使QCD具有足够准确的数值准确性。四环SV贡献以14 TEV的QCD横截面增加了2.7％，标准选择MU_R = M_H = M_H和MU_R = MU_R = M_H/2的QCD截面，并将量表的不确定性降低到 +-3％以下。作为副产品，我们在四个回路上得出了Gluon-Gluon分裂函数的完整delta（1-X）项，其纯粹的Abelian在五个环上的贡献，并为尺寸正常化中四环gluon形状的单极提供了数值结果。最后，我们介绍了Higgs-Boson和Drell-Yan Lepton Pair生产的软性葡萄糖凸起的密切相关的四阶系数D_4。
We study the soft and collinear (SV) contributions to inclusive Higgs-boson production in gluon-gluon fusion at four loops. Using recent progress for the quark and gluon form factors and Mellin moments of splitting functions, we are able to complete the soft-gluon enhanced contributions exactly in the limit of a large number of colours, and to a sufficiently accurate numerical accuracy for QCD. The four-loop SV contributions increase the QCD cross section at 14 TeV by 2.7% and 0.2% for the standard choices mu_R=m_H and mu_R=m_H/2 of the renormalization scale, and reduce the scale uncertainty to below +-3%. As by-products, we derive the complete delta(1-x) term for the gluon-gluon splitting function at four loops and its purely Abelian contributions at five loops, and provide a numerical result for the single pole of the four-loop gluon form factor in dimensional regularization. Finally we present the closely related fourth-order coefficients D_4 for the soft-gluon exponentiation of Higgs-boson and Drell-Yan lepton-pair production.
