Orthopositronium lifetime: analytic results in O(alpha) and O(alpha^3 ln(alpha))

TL;DR

This paper derives precise analytic formulas for orthopositronium decay width corrections at orders alpha and alpha^3 ln(alpha), enabling high-precision numerical evaluations.

Contribution

It provides the first closed-form analytic expressions for these higher-order QED corrections in orthopositronium decay.

Findings

Analytic formulas for O(alpha) corrections

Analytic formulas for O(alpha^3 ln(alpha)) corrections

Formulas expressed in terms of transcendental numbers

Abstract

We present the O(alpha) and O(alpha^3 ln(alpha)) corrections to the total decay width of orthopositronium in closed analytic form, in terms of basic transcendental numbers, which can be evaluated numerically to arbitrary precision.