Duhr Claude, Dulat Falko, Mistlberger Bernhard
Theoretical Physics Department, CERN, CH-1211 Geneva 23, Switzerland.
Centre for Cosmology, Particle Physics and Phenomenology (CP3), UCLouvain, Chemin du Cyclotron 2, 1348 Louvain-La-Neuve, Belgium.
Phys Rev Lett. 2020 Jul 31;125(5):051804. doi: 10.1103/PhysRevLett.125.051804.
We present the inclusive cross section at next-to-next-to-next-to-leading order (N^{3}LO) in perturbative QCD for the production of a Higgs boson via bottom-quark fusion. We employ the five-flavor scheme, treating the bottom quark as a massless parton while retaining a nonvanishing Yukawa coupling to the Higgs boson. We find that the dependence of the hadronic cross section on the renormalization and factorization scales is substantially reduced. For judicious choices of the scales the perturbative expansion of the cross section shows a convergent behavior. We present results for the N^{3}LO cross section at various collider energies. In comparison to the cross section obtained from the Santander matching of the four- and five-flavor schemes, we predict a slightly higher cross section, though the two predictions are consistent within theoretical uncertainties.
我们给出了在微扰量子色动力学中，通过底夸克融合产生希格斯玻色子的次次次领头阶（N³LO）的包含性截面。我们采用五夸克方案，将底夸克视为无质量的部分子，同时保留与希格斯玻色子的非零汤川耦合。我们发现强子截面与重整化标度和因子化标度的相关性显著降低。对于明智选择的标度，截面的微扰展开呈现出收敛行为。我们给出了在各种对撞机能量下N³LO截面的结果。与通过四夸克和五夸克方案的桑坦德匹配得到的截面相比，我们预测的截面略高，不过这两个预测在理论不确定性范围内是一致的。
