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Analytical Behaviour of Positronium Decay Amplitudes

2000/06/01 by G. López Castro, G. Lopez Castro, Castro, G. Lopez +8
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Muon and positron interactions and applications #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0006018

LaTeX, 22 pages, 3 eps figures

arxiv created 2000/06/01 · openalex publication_date 2000/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons do not exhibit good analytical behaviour. Using dispersion techniques, we find new contributions that interfere with the known results to restore analytical properties. Those new amplitudes which cannot be obtained using standard factorized amplitude formalism, contribute at order alpha2. Therefore they have to be evaluated before any theoretical conclusion can be drawn upon the orthopositronium lifetime puzzle.

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