Neutrino constraints on long-lived heavy dark sector particle decays in the Earth

Abstract

Recent theoretical work has explored dark matter accumulation in the Earth and its drift towards the center of the Earth that, for the current age of the Earth, does not necessarily result in a concentration of dark matter (χ) in the Earth's core. We consider a scenario of long-lived (τχ∼10²⁸ s), super heavy (mχ=10⁷−10¹⁰ GeV) dark matter that decays via χ→ντH or χ→νμH. We show that an IceCube-like detector over 10 years can constrain a dark matter density that mirrors the Earth's density or has a uniform density with density fraction ϵρ combined with the partial decay width Bχ→ντHΓχ in the range of (ϵρ/10⁻¹⁰)Bχ→ντΓχ≲3×10⁻²⁹−3×10⁻²⁸ s⁻¹. For χ→νμH, mχ=10⁸−10¹⁰ GeV and Eμ>10⁷ GeV, the range of constraints is (ϵρ/10⁻¹⁰)Bχ→νμΓχ≲6×10⁻²⁹−1.4×10⁻²⁷ s⁻¹.