Electroweak radiative corrections and unitarity of Standard Model

TL;DR

This paper calculates electroweak radiative corrections to gauge and Higgs boson scattering, revealing significant amplitude suppression at high energies due to Sudakov logarithms, impacting unitarity bounds in the Standard Model.

Contribution

It provides the first detailed calculation of electroweak corrections to longitudinal gauge and Higgs boson scattering amplitudes at very high energies, including their effect on unitarity bounds.

Findings

Amplitude suppression grows with energy due to Sudakov logarithms.

Cross section reduction can reach factors of 0.3 at 100 TeV.

Unitarity bounds are modified by these electroweak corrections.

Abstract

Electroweak corrections to longitudinal gauge and Higgs boson scattering amplitudes are calculated. Due to Sudakov double logarithms, the effect is a suppression of amplitude that grows rapidly with increasing center of mass energy leading to significant reduction of cross sections compared to tree level results. For example, the suppression factor for the cross section of $W^+_{\text{L}}W^-_{\text{L}}$ scattering due to these corrections varies from 0.3 at the center of mass energy of $100\text{TeV}$ to a factor of $10^{-12}$ at the center of mass energy of $10^{13}\text{TeV}$. The modification of SM unitarity bound due to these corrections is obtained.