Third-Order Logarithmic Resummation for Jet-Vetoed Higgs Production

Abstract

Jet vetoes are central to precision measurements of Higgs-boson properties at the Large Hadron Collider, where they are used to suppress backgrounds containing hard QCD radiation. We present the first prediction for the Higgs jet-vetoed cross section at the third logarithmic order in QCD, consistently combining the next-to-next-to-next-to-leading order calculation with state-of-the-art next-to-next-to-next-to-leading logarithmic resummation. At phenomenologically relevant veto scales ($p_T^{\rm v}\sim30$ GeV) and jet radii ($R=0.4$), the resummation increases the fixed-order prediction by about $3\%$, and their combination leads to a residual perturbative uncertainty of approximately $3\%$. Our results mark a milestone in the precise description of jet-vetoed Higgs-production at hadron colliders, reaching the level of precision relevant for the high-luminosity phase of the LHC.