%0 Electronic Article
%A Billis, Georgios
%A Ebert, Markus A.
%A Tackmann, Frank
%A Michel, Johannes K. L.
%T Drell-Yan q<sub>T</sub> spectrum and its uncertainty at N<sup>3</sup>LL′and approximate N<sup>4</sup>LL
%N DESY-23-081
%M PUBDB-2023-03807
%M DESY-23-081
%M arXiv:2411.16004
%D 2024
%X We consider Drell-Yan production pp→ V<sup>*</sup> X → L X at smallq<sub>T</sub>  << Q, where q<sub>T</sub> and Q arethe total transverse momentum and invariant mass of the leptonic final state L.Experimental measurements require fiducial cuts on L,which in general introduce enhanced, linear power corrections in q<sub>T</sub>/Q.We show that they can be unambiguously predicted from factorization,and resummed to the same order as the leading-power contribution.For the fiducial q<sub>T</sub> spectrum, they constitute the complete linearpower corrections.We thus obtain predictions for the fiducial q<sub>T</sub> spectrum to N<sup>3</sup>LL andnext-to-leading-power in q<sub>T</sub>/Q.Matching to full NNLO (α<sub>s</sub><sup>2</sup>), we find that the linear powercorrections are indeed the dominant ones, and once included by factorization,the remaining fixed-order corrections become almost negligible below q<sub>T</sub>  <~40 GeV.We also discuss the implications for more complicated observables,and provide predictions for the fiducial ϕ<sup>*</sup> spectrum at N<sup>3</sup>LL+NNLO.We find excellent agreement with ATLAS and CMS measurements of q<sub>T</sub> and ϕ<sup>*</sup>.We also consider the p<sub>T</sub><sup><i>l</i></sup> spectrum. We show that it developsleptonic power corrections in q<sub>T</sub>/(Q − 2p<sub>T</sub><sup><i>l</i></sup>), which diverge near the Jacobianpeak p<sub>T</sub><sup><i>l</i></sup>  ∼ Q/2 and must be kept to all powers to obtain a meaningful result there.Doing so, we obtain for the first time an analytically resummed result for thep<sub>T</sub><sup><i>l</i></sup> spectrum around the Jacobian peak at N<sup>3</sup>LL+NNLO.
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2023-03807
%U https://bib-pubdb1.desy.de/record/586166