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

We present for the first time exact NLO QCD corrections to light-quark part of mixed QCD-EW contributions Higgs production via gluon fusion at LHC13, with 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 numerical phase-space integration local IR subtraction counterterms. For $\mu_R=\mu_F=M_H$, we find: \begin{equation}\sigma^{(\alpha_s^2\alpha^2+\alpha_s^3\alpha^2)}_{g g\rightarrow H+X} = 1.467(2)^{\;+18.7\%}_{\;-14.6\%}\;(\mu_R\;\text{var.})\;\pm 2\%\;(\text{PDF}) \ \textrm{pb},\end{equation} which use provide best result including an estimate suppressed contributions: \begin{equation}\sigma^{(\text{EW},\textrm{best})}_{p p\rightarrow 2.11 \pm 0.28 (\textrm{theory}) \mathrm{pb}.\end{equation}