Abstract
The search for ultra-high energy downward-going and Earth-skimming cosmic neutrinos by the Surface Detector array of the Pierre Auger Observatory (PAO) is analyzed in the ADD model with n extra flat spatial dimensions. We assumed that the diffuse neutrino flux dN_nu/dE_nu$ is equal to k E_nu^(-20) in the energy range 10^(17) eV - 2.5 10^(19) eV. Taking into account that no neutrino events where found by the PAO, we have estimated an upper bound on a value of k. It is shown that this bound can be stronger than the upper bound on k recently obtained by the Pierre Auger Collaboration, depending on n and (n+4)-dimensional gravity scale M_D.
Highlights
Ultrahigh energy (UHE) cosmic neutrinos play an important role in particle physics and astrophysics
The detection of UHE neutrino candidates by the Pierre Auger Observatory (PAO) in coincidence with gravitational wave (GW) events could constrain the position of the source of GW [1]
It is shown that extra dimensions (EDs) effects are small in a range of sensitivity of the neutrino detector IceCube (Fig. 3)
Summary
Ultrahigh energy (UHE) cosmic neutrinos play an important role in particle physics and astrophysics. Ð1Þ in the energy range 1.0 × 1017–2.5 × 1019 eV, the 90% C.L. single-flavor upper limit to the diffuse flux of UHE neutrinos was obtained by the Pierre Auger Collaboration k < 6.4 × 10−9 GeV cm−2 s−1 sr−1: ð2Þ. This bound is approximately four times less than the Waxman-Bachall bound on cosmic neutrino production in optically thin sources [13]. If large extra dimensions exist, KK gravitons would be emitted from the supernova core after collapse, compete with neutrino cooling, and shorten the observable signal This argument has led to the strong bound MD > 31 TeV for n 1⁄4 2 and MD > 2.75 for n 1⁄4 3 [27].
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