The three loop soft function for N$^3$LL$^\prime$ gluon fusion Higgs   production in SCET
  We derive the three loop soft function for inclusive Higgs production in gluon fusion, and use it to perform the resummation of the Higgs cross section at N$^3$LL$^\prime$ in SCET. We improve the accuracy of the resummation by including contributions of collinear origin. We include finite top, bottom and charm mass effect where available. These results are available through the public code ResHiggs. 
Marco Bonvini, Luca Rottoli
hep-ph