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arXiv · 2211.08446

The parton-level structure of $e^+e^-$ to 2 jets at N$^3$LO

Petr Jakubčík·Matteo Marcoli·Giovanni Stagnitto
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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 $\alpha_s^3$.

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Petr Jakubčík, Matteo Marcoli, Giovanni Stagnitto. 2022-11-15. The parton-level structure of $e^+e^-$ to 2 jets at N$^3$LO. https://doi.org/10.1007/jhep01(2023)168

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