Non-factorizable virtual corrections to Higgs boson production in weak boson fusion beyond the eikonal approximation

Non-factorizable virtual corrections to Higgs boson production in weak fusion at next-to-next-to-leading order QCD were estimated the eikonal approximation [1]. This corresponds expansion of relevant amplitudes around forward limit. In this paper we compute leading power correction limit and show that it is proportional first transverse momentum or mass over partonic center-of-mass energy. Moreover, can be significantly enhanced by rapidity boson. For realistic cuts, next-to-eikonal reduces estimate non-factorizable contributions fiducial cross section O(30) percent.