Updated Higgs cross section at approximate N${}^3$LO

Abstract

We update our estimate of the cross section for Higgs production in gluon fusion at next-to-next-to-next-to-leading order (N${}^3$LO) in $\hat{I}{\pm }_s$ in view of the recent full computation of the result in the soft limit for infinite top mass, which determines a previously unknown constant. We briefly discuss the phenomenological implications. Results are available through the updated version of the ggHiggs code.

5 pages, 1 figure. Updated plot and numerical results after bug fixing in ggHiggs v1.9. Conclusions unaffected. Final version, to be published in Journal of Physics G