Speaker
Thomas J Weiler
(Vanderbilt University)
Description
Reactor neutrino experiments have now observed a nonzero value for \theta_{13} with a significance above 10-sigma. Nonzero values for theta_13 break a ν_μ-ν_τ symmetry, which has qualitative as well as quantitative implications for the time-evolution of neutrino flavors. In particular, the large-distance flavor evolution matrix, non-invertible with ν_μ-ν_τ symmetry, becomes invertible. This means that measurements of neutrino flavor ratios at Earth can now be inverted to directly reveal the flavor ratios injected at cosmically distant sources. With the updated values of the three neutrino mixing angles, we obtain the inverted large-distance evolution matrix and use it to derive several phenomenological relations between the injection flavor ratios and the observable ratios at Earth. Taking the three popular injection models as examples, we also exhibit the shift of Earthly observed flavor ratios from the corresponding values in the case with ν_μ-ν_τ symmetry.
Summary
Stated in abstract
Primary author
Thomas J Weiler
(Vanderbilt University)
Co-authors
Dr
Chiu Man Ho
(Vanderbilt University)
Mr
Lingjun Fu
(Vanderbilt University)
