Higher-order QCD in Higgs in to gluon-gluon

Abstract

The precise knowledge of the decay of the Higgs boson in two gluons is crucial for testing the Higgs sector of the standard model. The decay amplitude starts at one loop and is known today at next-to-next-to-next-to-next-to-leading order. However, in spite of this monumental result, the perturbative QCD series for this process does not display a good convergence order by order and retains a significant truncation uncertainty associated with renormalization scale variations. Reducing this uncertainty is vital for future precision tests of Higgs physics in the facilities such as the FCC-ee. In this work we will producea model independent estimate of the series at higher orders and study the intrinsic truncation uncertainty in the light of our results, using renormalization scheme variations and modern methods to estimate the error associated with missing higher orders.