Neutrino oscillations: measuring ${\theta }_{13}$ including its sign

Abstract

In neutrino phenomenology, terms in the oscillation probabilities linear in $\sin {\theta }_{13}$ lead naturally to the question ``How can one measure ${\theta }_{13}$ including its sign?'' Here we demonstrate analytically and with a simulation of neutrino data that ${\mathcal{P}}_{e\mu }$ and ${\mathcal {P}_{μμ}$ at $L/E=2\pi /{\Delta }_{21}$ exhibit significant linear dependence on ${\theta }_{13}$ in the limit of vacuum oscillations. Measurements at this particular value of $L/E$ can thus determine not only ${\theta }_{13}$ but also its sign, if CP violation is small.

5 pages, 5 figures

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Search for Electron Neutrino Appearance in a 250 km Long-baseline Experiment
• Physical region for three-neutrino mixing angles

Cited by in corpus (10)

• The Physical Range of Majorana Neutrino Mixing Parameters
• Atmospheric, long baseline, and reactor neutrino data constraints on ${\theta }_{13}$
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• Parameterizing Majorana Neutrino Couplings in the Higgs Sector
• Correlations between ${\theta }_{13}$ and ${\theta }_{23}$ in a very long baseline neutrino oscillation experiment
• On detecting CP violation in a single neutrino oscillation channel at very long baselines
• Calculating error bars for neutrino mixing parameters
• Implications of the Dirac CP phase upon parametric resonance for sub-GeV neutrinos
• The impact of hierarchy upon the values of neutrino mixing parameters
• Implications of nonzero ${\theta }_{13}$ for the neutrino mass hierarchy