Upward shower rates at neutrino telescopes directly determine the neutrino flux

Details Upward shower rates at neutrino telescopes directly determine the neutrino flux Upward shower rates at neutrino telescopes directly determine the neutrino flux

2007-11-28

arxiv.org/abs/0711.4374v2

Phys.Rev.D77:107304,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 6 figures, 1 table. Version to appear in PRD

Scientific paper

10.1103/PhysRevD.77.107304

We show that the rate for upward showers from an isotropic cosmic neutrino flux at neutrino telescopes like IceCube is independent of the neutrino-nucleon cross section. For bins that span a relatively narrow range in energy, neither scaling the cross section, nor changing its power-law energy behavior affects the upward shower rate, which depends only on the flux. The neutrino flux can be completely known since its spectral shape can be determined by comparing the rates in neighboring bins. We also show that the downward shower rate varies linearly with cross section with a proportionality constant determined by the energy-dependence of the cross section, independent of the power-law behavior of the flux. The normalization and energy dependence of the cross section can be known by comparing the downward rates in neighboring bins.

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