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We present the first results on the production of pseudo-scalar through gluonfusion at the LHC to N$^3$LO in QCD taking into account only soft gluoneffects. We have used the effective Lagrangian that describes the coupling ofpseudo-scalar with the gluons in the large top quark mass limit. We have usedrecently available quantities namely the three loop pseudo-scalar form factorand the third order universal soft function in QCD to achieve this. Along withthe fixed order results, we also present the process dependent resummationcoefficient for threshold resummation to N$^3$LL in QCD. Phenomenologicalimpact of these threshold N$^3$LO corrections to pseudo-scalar production atthe LHC is presented and their role to reduce the renormalisation scaledependence is demonstrated.

Pseudo-scalar Higgs Boson Production at Threshold N$^3$LO and N$^3$LL QCD