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The parton-level structure of $e+e−$ to 2 jets at N3LO


Jakubčík, Petr; Marcoli, Matteo; Stagnitto, Giovanni (2023). The parton-level structure of $e+e−$ to 2 jets at N3LO. Journal of High Energy Physics, 2023(1):168.

Abstract

We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $ \mathcal{O} $($ {\alpha}_s^3 $) in the strong coupling constant α$_{s}$. 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 R-ratio at order $ {\alpha}_s^3 $.

Abstract

We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $ \mathcal{O} $($ {\alpha}_s^3 $) in the strong coupling constant α$_{s}$. 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 R-ratio at order $ {\alpha}_s^3 $.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Nuclear and High Energy Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:31 January 2023
Deposited On:18 Feb 2024 10:15
Last Modified:30 Jun 2024 03:31
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep01(2023)168
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)