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 $\mathcal{O}({\alpha }_s^3)$ in the strong coupling constant ${\alpha }_s$. 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 ${\alpha }_s^3$.

33 pages; ancillary files with results in FORM format; v2: matching the published version, fixed ancillary files, updated references

References in corpus (17)

• Higgs boson gluon-fusion production in N3LO QCD
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Quark and gluon form factors to three loops
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• Inclusive Production Cross Sections at N3LO
• Third order fiducial predictions for Drell-Yan at the LHC
• Transverse Mass Distribution and Charge Asymmetry in W Boson Production to Third Order in QCD
• Tree-level splitting amplitudes for a gluon into four collinear partons
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Tree-level soft emission of a quark pair in association with a gluon
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Cutting massless four-loop propagators

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