Rapidity distribution of pseudoscalar Higgs boson to NNLOA plus NNLL

We present the differential predictions for the rapidity distribution of pseudoscalar Higgs boson through gluon fusion at the LHC. These results are obtained taking into account the soft-virtual (SV) as well as the next-to-soft virtual (NSV) resummation effects to next-to-next-to-leading-logarithmic (NNLL) accuracy and matching them to the approximate fixed order next-to-next-to-leading-order (NNLOA) A ) computation. We perform the resummation in two-dimensional Mellin space by limiting ourselves to the contributions only from gluon-gluon (gg) gg ) initiated channels. The NNLOA A rapidity distribution of pseudoscalar Higgs is obtained by applying a ratio method on the NNLO rapidity distribution of the scalar Higgs boson. We also present the first analytical results of N3LO 3 LO rapidity distribution of pseudoscalar Higgs at SV + NSV accuracy. The phenomenological impacts of NNLOA A + NNLL predictions for 13 TeV LHC are studied. We observe that for m A = 125(700) ( 700 ) GeV the SV + NSV resummation at the NNLL level brings about 14.76% (11.48%) corrections to the NNLOA A results at the central scale value of mu R = mu F = m A . Further, we find that the sensitivity to the renormalization scale gets improved substantially by the inclusion of NSV resummed predictions at NNLL accuracy.