Next-to-leading order corrections to light-quark mixed QCD-EW contributions to Higgs boson production

We present for the first time the exact next-to-leading-order QCD corrections to the light-quark part of the mixed QCD-EW contributions to Higgs production via gluon fusion at the Large Hadron Collider, for a center-of-mass energy of 13 TeV, with exact EW-boson mass dependence. The relevant two-loop real-emission matrix element is computed using a dynamic one-dimensional series expansion strategy whose stability and speed allows for a numerical phase-space integration using local IR subtraction counterterms. For the choice of renormalization (μR) and factorization (μF) scales, μR=μF=MH, we find σgg→H+X(αs2α2+αs3α2)=1.467(2)-14.6%+18.7%(μR var)±2% (PDF) pb, which we use to provide the best result, including an estimate of suppressed contributions: σpp→H+X(EW,best)=2.11±0.28 (theory) pb.