Abstract
We study the resummation of the 0-jettiness resolution variable \( \mathcal{T} \)0 for the top-quark pair production process in hadronic collisions. Starting from an effective theory framework we derive a factorisation formula for this observable which allows its resummation at any logarithmic order in the \( \mathcal{T} \)0 → 0 limit. We then calculate the \( \mathcal{O} \)(αs) corrections to the soft function matrices and, by employing renormalisation group equation methods, we obtain the ingredients for the resummation formula up to next-to-next-to-leading logarithmic (NNLL) accuracy. We study the impact of these corrections to the 0-jettiness distribution by comparing predictions at different accuracy orders: NLL, NLL′, NNLL and approximate NNLL′ (\( {\mathrm{NNLL}}_{\mathrm{a}}^{\prime } \)). We match these results to the corresponding fixed order calculations both at leading order and next-to-leading order for the t\( \overline{t} \)+jet production process, obtaining the most accurate prediction of the 0-jettiness distribution for the top-quark pair production process at \( {\mathrm{NNLL}}_{\mathrm{a}}^{\prime } \)+NLO accuracy.
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Alioli, S., Broggio, A. & Lim, M.A. Zero-jettiness resummation for top-quark pair production at the LHC. J. High Energ. Phys. 2022, 66 (2022). https://doi.org/10.1007/JHEP01(2022)066
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DOI: https://doi.org/10.1007/JHEP01(2022)066