Non-cancellation of electroweak logarithms in high-energy scattering

TL;DR

This paper investigates electroweak Sudakov corrections in high-energy scattering, highlighting their non-cancellation and significance at TeV and 100 TeV energies, with numerical results for heavy quark production processes.

Contribution

It demonstrates that electroweak Sudakov logarithms do not cancel in high-energy scattering and provides numerical analysis for various heavy quark production channels at collider energies.

Findings

Electroweak corrections become significant at TeV energies.

At 100 TeV, corrections are large and require resummation.

Non-cancellation affects predictions for high-energy collider processes.

Abstract

We study electroweak Sudakov corrections in high energy scattering, and the cancellation between real and virtual Sudakov corrections. Numerical results are given for the case of heavy quark production by gluon collisions involving the rates $gg \to t \bar t, b \bar b, t \bar b W, t \bar t Z, b \bar b Z, t \bar t H, b \bar b H$. Gauge boson virtual corrections are related to real transverse gauge boson emission, and Higgs virtual corrections to Higgs and longitudinal gauge boson emission. At the LHC, electroweak corrections become important in the TeV regime. At the proposed 100 TeV collider, electroweak interactions enter a new regime, where the corrections are very large and need to be resummed.