Can past gamma-ray bursts explain both INTEGRAL and ATIC/PAMELA/Fermi anomalies simultaneously?
Antoine Calvez, Alexander Kusenko

TL;DR
This paper investigates whether gamma-ray bursts could simultaneously explain the 511 keV emission and high-energy positron excess observed by various detectors, analyzing the likelihood of such coincidences within expected GRB rates.
Contribution
The study models GRB distribution and rates to assess the plausibility of a common GRB origin for both phenomena, considering statistical coincidences and alternative rate scenarios.
Findings
Simultaneous explanation requires a 0.4% coincidence probability.
Local excess and galactic center signals have 2% and 20% coincidence probabilities respectively.
Higher galactic GRB rates could account for both phenomena simultaneously.
Abstract
Gamma-ray bursts (GRBs) have been invoked to explain both the 511 keV emission from the galactic bulge and the high-energy positron excess inferred from the ATIC, PAMELA, and Fermi data. While independent explanations can be responsible for these phenomena, we explore the possibility of their common GRB-related origin by modeling the GRB distribution and estimating the rates. For an expected Milky Way long GRB rate, neither of the two signals is generic; the local excess requires a 2% coincidence, while the signal from the galactic center requires a 20% coincidence with respect to the timing of the latest GRB. The simultaneous explanation requires a 0.4% coincidence. Considering the large number of statistical "trials" created by multiple searches for new physics, the coincidences of a few per cent cannot be dismissed as unlikely. Alternatively, both phenomena can be explained by GRBs…
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