N3LO power corrections for 0-jettiness subtractions with fiducial cuts

A bstract We compute the leading logarithmic power corrections at next-to-next-to-next-to-leading order for 0-jettiness subtractions for Drell-Yan and Higgs production in gluon fusion differential in both the invariant mass and rapidity of the color singlet. We review how to disentangle these power corrections from those arising from the presence of fiducial and isolation cuts by using Projection-to-Born improved slicing. Our results include all the channels contributing at leading logarithmic order for these processes, including the off-diagonal channels that receive contributions from soft quark emission. We study the numerical impact of the power corrections for Drell-Yan and Higgs production and find it to become negligible compared to the size of the N 3 LO corrections only below τ cut ~ 10 −5 . We estimate that in a fully differential calculation at N 3 LO combining the Projection-to-Born improved slicing method and our results for the leading logarithmic power corrections may allow for keeping the slicing uncertainties under control already with τ cut ≲ 10 −3 , marking a significant improvement in efficiency for these methods. These results constitute a crucial ingredient for fully differential N 3 LO calculations based on the N -jettiness subtraction scheme.