On the impact of non-factorisable corrections in VBF single and double Higgs production

Understand

We study the factorisable and non-factorisable QCD corrections to Vector-Boson Fusion single and double Higgs production and show the combined corrections for both processes at $\mathcal{O}(\alpha_s^2)$.

• We investigate the validity of the eikonal approximation with and without selection cuts, and carry out an in-depth study of the relative size of the non-factorisable next-to-next-to-leading order corrections compared to the factorisable ones.
• In the case of single Higgs production, after selection cuts are applied, the non-factorisable corrections are found to be mostly contained within the factorisable scale uncertainty bands.
• When no cuts are applied, instead, the non-factorisable corrections are slightly outside the scale uncertainty band.