Non-factorizable corrections to Higgs production in Vector Boson Fusion

In this report, we present a summary of two recent calculations of the non-factorizable corrections to Higgs production via Vector Boson Fusion at next-to-next-to-leading order in QCD. Our findings include the first power correction to the leading-eikonal approximation. This new sub-leading contribution alters the current estimate of non-factorizable corrections by approximately 20 percent. Additionally, we demonstrate that the significant renormalization scale dependence can be mitigated by incorporating the three-loop fermion-bubble corrections, which account for the effects of the running coupling constant.