The bremsstrahlung equation for the spin motion in LHC

TL;DR

This paper derives a generalized equation describing the impact of bremsstrahlung on spin dynamics in the LHC, introducing a new constant that can be experimentally measured or derived from quantum electrodynamics.

Contribution

It presents a novel equation extending the BMT equation to include bremsstrahlung effects with a new constant relevant for spin motion analysis in high-energy accelerators.

Findings

The new equation generalizes the BMT equation for bremsstrahlung effects.

The new constant can be experimentally determined or derived from quantum electrodynamics.

Application to LHC conditions enhances understanding of spin dynamics in particle accelerators.

Abstract

The influence of the bremsstrahlung on the spin motion is expressed by the equation which is the analogue and generalization of the Bargmann-Michel-Telegdi equation. The new constant is involved in this equation. This constant can be immediately determined by the experimental measurement of the spin motion, or it follows from the classical limit of quantum electrodynamics with radiative corrections.