ar X iv : 0 70 9 . 23 77 v 2 [ he p - ph ] 5 D ec 2 00 7 Electroweak Sudakov Corrections using Effective Field Theory

The Large Hadron Collider (LHC) will study processes at energies √ s much larger than the masses of the W and Z bosons. Radiative (Sudakov) corrections to such processes contain logarithms L = log(s/M W,Z), and one gets two factors of L for each order in perturbation theory [1]. At LHC energies, these Sudakov corrections are not small — a typical electroweak correction αL/(4π sin θW ) ∼ 0.15 at √ s = 4 TeV. It is important to include these radiative corrections, since many new physics searches at the LHC look for small deviations from the standard model rate in high energy processes.