Two-Loop Sudakov Form Factor in a Theory with Mass Gap

Abstract

The two-loop Sudakov form factor is computed in a U(1) model with a massive gauge boson and a U(1)× U(1) model with mass gap. We analyze the result in the context of hard and infrared evolution equations and establish a matching procedure which relates the theories with and without mass gap setting the stage for the complete calculation of the dominant two-loop corrections to electroweak processes at high energy.

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