2013/12/31 by George Sterman, Mao Zeng
Physics and Astronomy · #Boson #Effective field theory #Electroweak interaction #Gluino #Gluon #Hadron #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Parton #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Resummation #hep-ph
paper · pdf · doi:10.1007/jhep05(2014)132
published as JHEP 05 (2014) 132 · 36 pages, 8 figures
openalex publication_date 2014/05/01 · arxiv created 2014/05/29 · arxiv updated 2014/06/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We explore similarities and differences between widely-used threshold resummation formalisms, employing electroweak boson production as an instructive example. Resummations based on both full QCD and soft-collinear effective theory (SCET) share common underlying factorizations and resulting evolution equations. The formalisms differ primarily in their choices of boundary conditions for evolution, in moment space for many treatments based on full QCD, and in momentum space for treatments based on soft-collinear effective theory. At the level of factorized hadronic cross sections, these choices lead to quite different expressions. Nevertheless, we can identify a natural expansion for parton luminosity functions, in which SCET and full QCD resummations agree for the first term, and for which subsequent terms provide differences that are small in most cases. We also clarify the roles of the non-leading resummation constants in the two formalisms, and observe a relationship of the QCD resummation function D(α s ) to the web expansion.