The parton-level structure of $e^+e^-$ to 2 jets at N$^3$LO
Abstract
We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at in the strong coupling constant . Namely, we analytically compute the total cross section for this process by separately integrating the tree-level five-parton, the one-loop four-parton, the two-loop three-parton, and the three-loop two-parton matrix elements over the respective phase space. All the contributions to the calculation are treated in a common framework whereby phase space integrals are expressed as physical cuts of the four-loop two-point function. We check the cancellation of infrared poles at all colour levels and we reproduce the known result for the -ratio at order .
Keywords
Cite
@article{arxiv.2211.08446,
title = {The parton-level structure of $e^+e^-$ to 2 jets at N$^3$LO},
author = {Petr Jakubčík and Matteo Marcoli and Giovanni Stagnitto},
journal= {arXiv preprint arXiv:2211.08446},
year = {2023}
}
Comments
33 pages; ancillary files with results in FORM format; v2: matching the published version, fixed ancillary files, updated references