Bloch-Nordsieck violating electroweak corrections to inclusive TeV scale hard processes

TL;DR

It is pointed out that, since the colliders' initial states carry a definite non-Abelian flavor, electroweak radiative corrections to inclusive hard cross sections at the TeV scale are affected by peculiar Bloch-Nordsieck violating double logs.

Abstract

We point out that, since the colliders initial states (e+ e-,p p, p pbar, ... ) carry a definite nonabelian flavor, electroweak radiative corrections to inclusive hard cross sections at the TeV scale are affected by peculiar Bloch-Nordsieck violating double logs. We recall the setup of soft cancellation theorems, and we analyze the magnitude of the noncancelling terms in the example of electron - positron annihilation into hadrons.

Figures (1)

• Figure 1: Unitarity diagrams for (a) virtual and (b) real emission contributions to lowest order initial state interactions in the Feynman gauge. Sum over gauge bosons a= $\gamma,Z,W$ and over permutations is understood.