Current tensor with heavy photon for hard pair production by longitudinally polarized electron

TL;DR

This paper calculates the electron current tensor for heavy photon scattering with polarized electrons, including pair production, to improve the accuracy of second-order radiative correction calculations in particle physics.

Contribution

It provides a detailed analysis of spin-dependent and independent parts of the electron current tensor for processes involving heavy photons and pair production.

Findings

Computed contributions of collinear and semicollinear kinematics.

Analyzed spin-dependent and independent parts of the tensor.

Enables more precise second-order radiative correction calculations.

Abstract

The electron current tensor for the scattering of heavy photon on longitudinally polarized electron accompanied with additional hard electron-positron pair has been considered. The contribution of collinear and semicollinear kinematics is computed. The full analysis of both, spin-dependent and spin-independend parts of electron current tensor, is performed. The obtained result allows to calculate the corresponding contribution into the second order radiative correction to cross-sections of different processes with the next-to-leading accuracy.