Double Resummation for Higgs Production

We present the first double-resummed prediction of the inclusive cross section for the main Higgsproduction channel in proton-proton collisions, namely, gluon fusion. Our calculation incorporates to allorders in perturbation theory two distinct towers of logarithmic corrections which are enhanced,respectively, at threshold, i.e., largex, and in the high-energy limit, i.e., smallx. Large-xlogarithmsare resummed to next-to-next-to-next-to-leading logarithmic accuracy, while small-xones to leadinglogarithmic accuracy. The double-resummed cross section is furthermore matched to the state-of-the-artfixed-order prediction at next-to-next-to-next-to-leading accuracy. We find that double resummationcorrects the Higgs production rate by 2% at the currently explored center-of-mass energy of 13 TeVand itsimpact reaches 10% at future circular colliders at 100 TeV