How to search for multiple messengers — a general framework beyond two messengers. (arXiv:2010.04162v2 [astro-ph.HE] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Veske_D/0/1/0/all/0/1">Doğa Veske</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Marka_Z/0/1/0/all/0/1">Zsuzsa Márka</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Bartos_I/0/1/0/all/0/1">Imre Bartos</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Marka_S/0/1/0/all/0/1">Szabolcs Márka</a>
Quantification of the significance of a candidate multi-messenger detection
of cosmic events is an emerging need in the astrophysics and astronomy
communities. In this paper we show that a model-independent optimal search does
not exist, and we present a general Bayesian method for the optimal
model-dependent search, which is scalable to any number and any kind of
messengers, and applicable to any model. In the end, we demonstrate it through
an example for a joint gravitational wave, high-energy neutrino, short
gamma-ray burst event search; which has not been examined heretofore.
Quantification of the significance of a candidate multi-messenger detection
of cosmic events is an emerging need in the astrophysics and astronomy
communities. In this paper we show that a model-independent optimal search does
not exist, and we present a general Bayesian method for the optimal
model-dependent search, which is scalable to any number and any kind of
messengers, and applicable to any model. In the end, we demonstrate it through
an example for a joint gravitational wave, high-energy neutrino, short
gamma-ray burst event search; which has not been examined heretofore.
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