High precision determination of the gluon fusion Higgs boson cross-section at the LHC

We present the most precise value for the higgs boson cross-section in the gluon-fusion production mode at the lhc. our result is based on a perturbative expansion through n3lo in qcd, in an effective theory where the top-quark is assumed to be infinitely heavy, while all other standard model quarks are massless. we combine this result with qcd corrections to the cross-section where all finite quark-mass effects are included exactly through nlo. in addition, electroweak corrections and the first corrections in the inverse mass of the top-quark are incorporated at three loops. we also investigate the effects of threshold resummation, both in the traditional qcd framework and following a scet approach, which resums a class of π2 contributions to all orders. we assess the uncertainty of the cross-section from missing higher-order corrections due to both perturbative qcd effects beyond n3lo and unknown mixed qcd-electroweak effects. in addition, we determine the sensitivity of the cross-section to the choice of parton distribution function (pdf) sets and to the parametric uncertainty in the strong coupling constant and quark masses. for a higgs mass of m h = 125 gev and an lhc center-of-mass energy of 13 tev, our best prediction for the gluon fusion cross-section is $$ sigma =48.58;{mathrm{pb}}_{-3.27;mathrm{p}mathrm{b}}^{+2.22;mathrm{p}mathrm{b}}left(mathrm{theory}right)pm 1.56;mathrm{p}mathrm{b}left(3.20%right)left(mathrm{p}mathrm{d}mathrm{f}+{alpha}_sright). $$