  Using soft-collinear effective theory, the leading-log radiative electroweak
corrections are written in a closed and analytical form for the hadronic cross
section of Higgs production through vector boson fusion, qq->qqH, one of the
most promising channels for studying the Higgs boson at the LHC. The simple
leading-log resummation is compared with a full next-to-leading-log
calculation, and its accuracy is found to be of order 1% up to 10 TeV, i.e.
better than the accuracy of PDFs. Corrections are found to be larger than
predicted by one-loop fixed order approximations at LHC energies. The method
provides a simple way of incorporating the electroweak corrections in software
packages, improving the accuracy of simulations.
