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<p>We consider the transverse-momentum (<i>q</i><sub><i>T</i></sub>) distribution of Drell-Yan lepton pairs produced with invariant masses (<i>M</i>) from low values up to the <i>Z</i>-boson peak (4 <i>≤ M ≤</i> 116 GeV). We present perturbative predictions obtained by consistently combining the resummation of logarithmically enhanced QCD corrections at small <i>q</i><sub><i>T</i></sub> (<i>q</i><sub><i>T</i></sub> ≪ <i>M</i>) up to next-to-next-to-next-to-next-to-leading logarithmic accuracy with the available fixed-order calculations at next-to-next-to-leading order (i.e. <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal{O}({\alpha }_{S}^{3})\)</EquationSource> </InlineEquation>) valid at large <i>q</i><sub><i>T</i></sub>. For very low <i>q</i><sub><i>T</i></sub> (<i>q</i><sub><i>T</i></sub> ~ Λ<sub>QCD</sub>), non-perturbative (NP) QCD effects become dominant and have been included through a NP form factor with a small number of free-parameters. We compare our results with multiple experimental datasets from hadron colliders, finding excellent agreement between theory and data. By fitting the NP parameters, we achieve a precise extraction of the NP form factor and the so-called Collins-Soper kernel.</p>

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Drell-Yan lepton pair production at low invariant masses: transverse-momentum resummation and non-perturbative effects in QCD

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  • 发表日期：

    2026年1月22日

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  • Stefano Camarda,
  • Giancarlo Ferrera,
  • Lorenzo Rossi

摘要

We consider the transverse-momentum (qT) distribution of Drell-Yan lepton pairs produced with invariant masses (M) from low values up to the Z-boson peak (4 ≤ M ≤ 116 GeV). We present perturbative predictions obtained by consistently combining the resummation of logarithmically enhanced QCD corrections at small qT (qT ≪ M) up to next-to-next-to-next-to-next-to-leading logarithmic accuracy with the available fixed-order calculations at next-to-next-to-leading order (i.e. \(\mathcal{O}({\alpha }_{S}^{3})\) ) valid at large qT. For very low qT (qT ~ ΛQCD), non-perturbative (NP) QCD effects become dominant and have been included through a NP form factor with a small number of free-parameters. We compare our results with multiple experimental datasets from hadron colliders, finding excellent agreement between theory and data. By fitting the NP parameters, we achieve a precise extraction of the NP form factor and the so-called Collins-Soper kernel.