Electroweak Sudakov Logarithms and Real Gauge-Boson Radiation in the TeV Region

TL;DR

This paper studies how electroweak radiative corrections and real gauge boson radiation influence high-energy processes, highlighting the importance of phase space cuts in the Standard Model and related theories.

Contribution

It provides a detailed quantitative analysis of real gauge boson radiation effects across different gauge theories, emphasizing the impact of phase space selection.

Findings

Real radiation significantly affects electroweak corrections.

Phase space cuts strongly influence the balance of real and virtual corrections.

Results vary across abelian, SU(2), and Standard Model theories.

Abstract

Electroweak radiative corrections give rise to large negative, double-logarithmically enhanced corrections in the TeV region. These are partly compensated by real radiation and, moreover, affected by selecting isospin-noninvariant external states. We investigate the impact of real gauge boson radiation more quantitatively by considering different restricted final state configurations. We consider successively a massive abelian gauge theory, a spontaneously broken SU(2) theory and the electroweak Standard Model. We find that details of the choice of the phase space cuts, in particular whether a fraction of collinear and soft radiation is included, have a strong impact on the relative amount of real and virtual corrections.