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@ARTICLE{Billis:586166,
      author       = {Billis, Georgios and Ebert, Markus A. and Tackmann, Frank
                      and Michel, Johannes K. L.},
      title        = {{D}rell-{Y}an $q_{T}$ spectrum and its uncertainty at
                      {N}$^3${LL}$'$and approximate {N}$^4${LL}},
      reportid     = {PUBDB-2023-03807, DESY-23-081. arXiv:2411.16004},
      year         = {2024},
      abstract     = {We consider Drell-Yan production $pp\to V^* X \to L X$ at
                      small$q_T \ll Q$, where $q_T$ 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 $q_T/Q$.We show that they can be
                      unambiguously predicted from factorization,and resummed to
                      the same order as the leading-power contribution.For the
                      fiducial $q_T$ spectrum, they constitute the complete
                      linearpower corrections.We thus obtain predictions for the
                      fiducial $q_T$ spectrum to N$^3$LL andnext-to-leading-power
                      in $q_T/Q$.Matching to full NNLO ($\alpha_s^2$), 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 $q_T
                      \lesssim 40$ GeV.We also discuss the implications for more
                      complicated observables,and provide predictions for the
                      fiducial $\phi^*$ spectrum at N$^3$LL$+$NNLO.We find
                      excellent agreement with ATLAS and CMS measurements of $q_T$
                      and $\phi^*$.We also consider the $p_T^\ell$ spectrum. We
                      show that it developsleptonic power corrections in $q_T/(Q -
                      2p_T^\ell)$, which diverge near the Jacobianpeak $p_T^\ell
                      \sim Q/2$ 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 the$p_T^\ell$
                      spectrum around the Jacobian peak at N$^3$LL$+$NNLO.\%Our
                      method is based on performing a complete tensor
                      decomposition for hadronicand leptonic tensors. We show that
                      in practice this is equivalent tooften-used recoil
                      prescriptions, for which our results now provide rigorous,
                      formaljustification.Our tensor decomposition yields nine
                      Lorentz-scalar hadronic structure functions, whichfor
                      $Z/\gamma^* \to \ell\ell$ or $W\to\ell\nu$ directly map
                      ontothe commonly used angular coefficients, but also holds
                      for arbitrary leptonic final states.In particular, for
                      suitably defined Born-projected leptons it still yields a
                      LO-likeangular decomposition even when including QED
                      final-state radiation.Finally, we also discuss the
                      application to $q_T$ subtractions. Including
                      theunambiguously predicted fiducial power corrections
                      significantly improves theirperformance, and in particular
                      makes them applicable near kinematic edgeswhere they
                      otherwise break down due to large leptonic power
                      corrections.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      COLORFREE - High-Precision Global Analysis of Color-Free LHC
                      Processes at Small Recoil (101002090)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101002090},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2411.16004},
      howpublished = {arXiv:2411.16004},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2411.16004;\%\%$},
      doi          = {10.3204/PUBDB-2023-03807},
      url          = {https://bib-pubdb1.desy.de/record/586166},
}