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Electroweak Sudakov logarithms at high energy, of the form alpha/sin^2theta_W^n log^m s/M_{Z,W}^2, are summed using effective theory (EFT) methods.The exponentiation of Sudakov logarithms and factorization is discussed in theEFT formalism. Radiative corrections are computed to scattering processes inthe standard model involving an arbitrary number of external particles. Thecomputations include non-zero particle masses such as the t-quark mass,electroweak mixing effects which lead to unequal W and Z masses and a masslessphoton, and Higgs corrections proportional to the top quark Yukawa coupling.The structure of the radiative corrections, and which terms are summed by theEFT renormalization group is discussed in detail. The omitted terms are smallerthan 1%. We give numerical results for the corrections to dijet production,dilepton production, t-\bar t production, and squark pair production. Thepurely electroweak corrections are significant -- about 15% at 1 TeV,increasing to 30% at 5 TeV, and they change both the scattering rate andangular distribution. The QCD corrections (which are well-known) are alsocomputed with the EFT. They are much larger -- about a factor of four at 1 TeV,increasing to a factor of thirty at 5 TeV. Mass effects are also significant;the q \bar q -> t \bar t rate is enchanced relative to the light-quarkproduction rate by 40%.

Electroweak Corrections using Effective Field Theory: Applications to the LHC