Abstract
The running of the top quark mass (mt) is probed at the next-to-next-to-leading order in quantum chromodynamics for the first time. The result is obtained by comparing calculations in the modified minimal subtraction (\(\overline{{\text{MS}} }\)) renormalisation scheme to the CMS result on differential measurement of the top quark-antiquark (\({\text{t}}\overline{{\text{t}} }\)) production cross section at \(\sqrt{s}\) = 13 TeV. The scale dependence of mt is extracted as a function of the invariant mass of the \({\text{t}}\overline{{\text{t}} }\) system, up to an energy scale of about 0.5 TeV. The observed running is found to be in good agreement with the three-loop solution of the renormalisation group equations on quantum chromodynamics.
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Acknowledgments
We are sincerely grateful to Massimiliano Grazzini, Stefano Catani, Sven-Olaf Moch, and André Hoang for fruitful discussions on the theoretical aspects of this work. J.M. is grateful to Stefano Catani, Simone Devoto, Massimiliano Grazzini, and Stefan Kallweit for their contribution in the development of the results of ref. [12], and for many fruitful discussions. The work by K.L. is supported by the Helmholtz Association under the contract W2/W3-123. J.K. is supported by the Alexander-von-Humboldt-Stiftung.
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Defranchis, M.M., Kieseler, J., Lipka, K. et al. Running of the top quark mass at NNLO in QCD. J. High Energ. Phys. 2024, 125 (2024). https://doi.org/10.1007/JHEP04(2024)125
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DOI: https://doi.org/10.1007/JHEP04(2024)125