Target Neutrino Mass Precision for Determining the Neutrino Hierarchy. (arXiv:1907.04331v1 [astro-ph.CO])

Target Neutrino Mass Precision for Determining the Neutrino Hierarchy. (arXiv:1907.04331v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Mahony_C/0/1/0/all/0/1">Constance Mahony</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Leistedt_B/0/1/0/all/0/1">Boris Leistedt</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Peiris_H/0/1/0/all/0/1">Hiranya V. Peiris</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Braden_J/0/1/0/all/0/1">Jonathan Braden</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Joachimi_B/0/1/0/all/0/1">Benjamin Joachimi</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Korn_A/0/1/0/all/0/1">Andreas Korn</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Cremonesi_L/0/1/0/all/0/1">Linda Cremonesi</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Nichol_R/0/1/0/all/0/1">Ryan Nichol</a>

Recent works combining neutrino oscillation and cosmological data to
determine the neutrino hierarchy found a range of odds in favour of the normal
hierarchy. These results arise from differing approaches to incorporating prior
knowledge about neutrinos. We develop a hierarchy-agnostic prior and show that
the hierarchy cannot be conclusively determined with current data. The
determination of the hierarchy is limited by the neutrino mass scale
$Sigma_{nu}$ measurement. We obtain a target precision of
$sigma(Sigma_{nu}) = 0.014$ eV for conclusively establishing the normal
hierarchy with future data.

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