Paper
On the Higgs cross section at N$^3$LO+N$^3$LL and its uncertainty
Authors
Marco Bonvini, Simone Marzani, Claudio Muselli, Luca Rottoli
Abstract
We consider the inclusive production of a Higgs boson in gluon-fusion and we study the impact of threshold resummation at next-to-next-to-next-to-leading logarithmic accuracy (NLL) on the recently computed fixed-order prediction at next-to-next-to-next-to-leading order (NLO). We propose a conservative, yet robust way of estimating the perturbative uncertainty from missing higher (fixed- or logarithmic-) orders. We compare our results with two other different methods of estimating the uncertainty from missing higher orders: the Cacciari-Houdeau Bayesian approach to theory errors, and the use of algorithms to accelerate the convergence of the perturbative series. We confirm that the best convergence happens at , and we conclude that a reliable estimate of the uncertainty from missing higher orders on the Higgs cross section at 13 TeV is approximately %.