Drell-Yan Resummation of Fiducial Power Corrections at NLL
Markus A. Ebert🇺🇸 · Johannes K. L. Michel🇩🇪 · Iain W. Stewart🇺🇸 · Frank J. Tackmann🇩🇪
We consider Drell-Yan production at small . Experimental measurements require fiducial cuts on the leptonic state , which introduce enhanced, linear power corrections in . We show that they can be unambiguously predicted from factorization, and resummed to the same order as the leading-power contribution. We thus obtain predictions for the fiducial spectrum to N3LL and next-to-leading-power in . Matching to full NNLO (), we find that the linear power corrections are indeed the dominant ones, and the remaining fixed-order corrections become almost negligible below GeV. We also discuss the implications for more complicated observables, and provide predictions for the fiducial spectrum at N3LL+NNLO. We find excellent agreement with ATLAS and CMS measurements of and . We also consider the spectrum. We show that it develops leptonic power corrections in , which diverge near the Jacobian peak 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 spectrum around the Jacobian peak at N3LL+NNLO. Our method is based on performing a complete tensor decomposition for hadronic and leptonic tensors. In practice this is equivalent to often-used recoil prescriptions, for which our results now provide rigorous, formal justification. Our tensor decomposition yields nine Lorentz-scalar hadronic structure functions, which directly map onto the 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-like angular decomposition even when including QED final-state radiation. We also discuss the application to subtractions.