Role of matter density uncertainties in the analysis of future neutrino factory experiments

Tommy Ohlsson and Walter Winter
Phys. Rev. D 68, 073007 – Published 29 October 2003
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Abstract

Matter density uncertainties can affect the measurements of the neutrino oscillation parameters at future neutrino factory experiments, such as the measurements of the mixing parameters θ13 and δCP. We compare different matter density uncertainty models and discuss the possibility to include the matter density uncertainties in a complete statistical analysis. Furthermore, we systematically study in which measurements and where in the parameter space matter density uncertainties are most relevant. We illustrate this discussion with examples that show the effects as functions of different magnitudes of the matter density uncertainties. We find that matter density uncertainties are especially relevant for large sin22θ13103. Within the KamLAND-allowed range, they are most relevant for the precision measurements of sin22θ13 and δCP, but less relevant for “binary” measurements, such as for the sign of Δm312, the sensitivity to sin22θ13, or the sensitivity to maximal CP violation. In addition, we demonstrate that knowing the matter density along a specific baseline better than to about 1% precision means that all measurements will become almost independent of the matter density uncertainties.

  • Received 18 July 2003

DOI:https://doi.org/10.1103/PhysRevD.68.073007

©2003 American Physical Society

Authors & Affiliations

Tommy Ohlsson*

  • Division of Mathematical Physics, Department of Physics, Royal Institute of Technology (KTH)-Stockholm Center for Physics, Astronomy, and Biotechnology (SCFAB), Roslagstullsbacken 11, 106 91 Stockholm, Sweden

Walter Winter

  • Institut für Theoretische Physik, Physik–Department, Technische Universität München (TUM), James-Franck-Strasse, 85748 Garching bei München, Germany

  • *Email address: tommy@theophys.kth.se
  • Email address: wwinter@ph.tum.de

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Vol. 68, Iss. 7 — 1 October 2003

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