# Precision predictions at ${N}^{3}\mathrm{LO}$ for the Higgs boson rapidity distribution at the LHC

Dulat, Falko (SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94039, USA) ; Mistlberger, Bernhard (Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA) ; Pelloni, Andrea (Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland)

13 February 2019

Abstract: We present precise predictions for the Higgs boson rapidity distribution at the LHC in the gluon fusion production mode. Our approach relies on the fully analytic computation of six terms in a systematic expansion of the partonic differential cross section around the production threshold of the Higgs boson at next-to-next-to-next-to-leading order (${N}^{3}\mathrm{LO}$) in QCD perturbation theory. We observe a mild correction compared to the previous perturbative order and a significant reduction of the dependence of the cross section on the perturbative scale throughout the entire rapidity range.

Published in: Physical Review D 99 (2019)