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We present threshold enhanced N$^3$LO QCD corrections to inclusive Higgsproduction through bottom anti-bottom annihilation at hadron colliders usingthreshold resummed cross section. The resummed cross section is obtained usingfactorization properties and Sudakov resummation of the inclusive crosssection. We use the recent results on threshold N$^3$LO corrections in QCD forDrell-Yan production and three loop QCD corrections to Higgs form factor withbottom anti-bottom quark to achieve this task. This is the first step towardsthe evaluation of complete N$^3$LO result. We have numerically demonstrated theimportance of such corrections at the LHC.

Higgs boson production through $b \bar b$ annihilation at threshold in N$^3$LO QCD