Electroweak Symmetry Restoration and Radiation Amplitude Zeros

TL;DR

This paper discusses how electroweak symmetry restoration at high energies affects gauge boson and fermion behavior, proposing to study this phenomenon through specific gauge boson pair production processes at colliders.

Contribution

It introduces a novel approach using radiation amplitude zeros to quantitatively analyze electroweak symmetry restoration at high energies.

Findings

Electroweak symmetry effects diminish at energies much higher than the electroweak scale.

Proposes collider-based methods to observe symmetry restoration phenomena.

Highlights the role of radiation amplitude zeros in studying electroweak processes.

Abstract

In high-energy collisions far above the electroweak scale, the effects of electroweak symmetry breaking are expected to become parametrically small $\delta \sim M_W/E$. This defines the extent to which the electroweak gauge symmetry is restored: $(i)$ the physics of the transverse gauge bosons and fermions is described by a massless theory in the unbroken phase; $(ii)$ the longitudinal gauge bosons behave like the Goldstone bosons and join the Higgs boson to restore the unbroken $O(4)$ symmetry in the original Higgs sector. Using the unique feature of the radiation amplitude zeros in gauge theory, we propose to study the electroweak symmetry restoration quantitatively by examining the processes for the gauge boson pair production $W^\pm \gamma,\ W^\pm Z$ and $W^\pm H$ at the LHC and muon colliders.