Liu Tao, Penin Alexander A
Department of Physics, University of Alberta, Edmonton, Alberta T6G 2J1, Canada.
Institut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), 76128 Karlsruhe, Germany.
Phys Rev Lett. 2017 Dec 29;119(26):262001. doi: 10.1103/PhysRevLett.119.262001.
We study the high-energy fixed-angle Sudakov limit of the scattering amplitudes suppressed by the leading power of the quark mass in perturbative quantum chromodynamics. We prove the factorization and perform all-order resummation of the double-logarithmic radiative corrections which determine the asymptotic behavior of the amplitudes. In contrast to the Sudakov logarithms, the mass-suppressed double-logarithmic corrections are induced by soft quark exchange. The structure of the corrections and the asymptotic behavior of the amplitudes in this case crucially depend on the color flow in a given process and are determined by the eikonal color charge nonconservation. We present explicit results for the Higgs boson production in gluon fusion mediated by a light-quark loop and for the leading power-suppressed contributions to the quark form factors, which reveal "magical" universality. Nontrivial relations between the asymptotic behavior of different amplitudes and the amplitudes in different gauge theories are found.
我们研究了在微扰量子色动力学中被夸克质量的主导幂次压低的散射振幅的高能固定角苏达科夫极限。我们证明了因子分解，并对决定振幅渐近行为的双对数辐射修正进行了全阶重整化。与苏达科夫对数不同，质量压低的双对数修正是由软夸克交换引起的。在这种情况下，修正的结构和振幅的渐近行为关键取决于给定过程中的色流，并由程函色荷不守恒决定。我们给出了由轻夸克圈介导的胶子融合中希格斯玻色子产生的显式结果，以及对夸克形状因子的主导幂次压低贡献的显式结果，这些结果揭示了“神奇”的普适性。我们还发现了不同振幅的渐近行为与不同规范理论中的振幅之间的非平凡关系。
