Higher order pair corrections to electron-positron annihilation

TL;DR

This paper investigates third-order radiative corrections involving pair production in electron-positron annihilation, using leading log approximation and convolution, and discusses exponentiation and theoretical uncertainties.

Contribution

It provides a detailed analysis of higher-order pair corrections, especially third-order effects, in electron-positron annihilation processes, including the treatment of simultaneous photon and pair emission.

Findings

Quantifies third-order pair correction effects.

Discusses the applicability of exponentiation in this context.

Estimates the theoretical uncertainty in higher-order secondary pair descriptions.

Abstract

Radiative corrections due to pair production in process of electron-positron annihilation are considered. The main attention is paid to the corrections of the third order. Simultaneous emission of photons and pairs is taken into account. The leading log approximation and convolution procedure are used. Exponentiation is discussed. Theoretical uncertainty in description of higher order secondary pairs is estimated.