2001/02/08 by Michael Melles · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.64.054003
published as Phys.Rev. D64 (2001) 054003 · 23 pages, 4 figures, uses LaTeX2e
arxiv created 2001/02/08 · openalex publication_date 2001/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
At energies (√(s)) much higher than the electroweak gauge boson masses (M) large logarithmic corrections of the scale ratio √(s)/M occur. While the electroweak Sudakov type double (DL) and universal single (SL) logarithms have recently been resummed, at higher orders the electroweak renormalization group (RG) corrections are folded with the DL Sudakov contributions and must be included for a consistent subleading treatment to all orders. In this paper we first derive all relevant formulas for massless as well as massive gauge theories including all such terms up to order O[\ensuremathαn\ensuremathβ0log^2n\ensuremath-1(s/M2)] by integrating over the corresponding running couplings. The results for broken gauge theories in the high energy regime are then given in the framework of the infrared evolution equation method. The analogous QED corrections below the weak scale M are included by appropriately matching the low energy solution to the renormalization group improved high energy results. The corrections are valid for arbitrary external lines and largest in the scalar Goldstone and Higgs boson sector as well as for transverse gauge bosons. At TeV energies, these SL-RG terms change scattering cross sections in the percentile regime at two loops and are thus non-negligible for precision objectives at future linear colliders.