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Analytical Behaviour of Positronium Decay Amplitudes
High Energy Physics - Phenomenology · Submitted 1 Jun 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using dispersion techniques, we find new contributions that interfere with the known results to restore analytical properties.
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The abstract, sentence by sentence
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 alpha^2. Therefore they have to be evaluated before any theoretical conclusion can be drawn upon the orthopositronium lifetime puzzle.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons do not exhibit good analytical behaviour. | background 0.79 | 0.24 | 0.14 | asserted 1.00 |
| s1 | Using dispersion techniques, we find new contributions that interfere with the known results to restore analytical properties. | contribution 0.46 | 0.95 | 0.38 | asserted 1.00 |
| s2 | Those new amplitudes which cannot be obtained using standard factorized amplitude formalism, contribute at order alpha^2. | result 0.93 | 0.72 | 0.18 | asserted 1.00 |
| s3 | Therefore they have to be evaluated before any theoretical conclusion can be drawn upon the orthopositronium lifetime puzzle. | interpretation 0.79 | 0.17 | 0.40 | asserted 0.99 |
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The paper
Original 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 alpha^2. Therefore they have to be evaluated before any theoretical conclusion can be drawn upon the orthopositronium lifetime puzzle.
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