Double-logarithmic asymptotics of the magnetic form factor of electron and quark

TL;DR

This paper derives the double-logarithmic asymptotic behavior of the magnetic form factor for electrons and quarks in high momentum transfer regimes, using Sudakov kinematics, revealing fundamental insights into particle interactions at high energies.

Contribution

It provides the first detailed derivation of the magnetic form factor's asymptotics for both electrons and quarks in the double-logarithmic approximation under Sudakov conditions.

Findings

Magnetic form factor exhibits double-logarithmic growth at high momentum transfer.

Results applicable to high-energy particle scattering processes.

Enhances understanding of quantum electrodynamics and quantum chromodynamics at asymptotic energies.

Abstract

The asymptotical behaviour of the magnetic form factor for electron and quark is obtained in the double-logarithmic approximation for the Sudakov kinematics, i.e. for the case when the value of the transfer momentum is much greater than the mass of the particle.