Speaker
Prof.
Paul Fraser Harrison
(University of Warwick (UK))
Description
In 2004, two of us published a texture, the ``Simplest'' neutrino mass matrix, which predicted $\sin{\theta_{13}}=\sqrt{2\Delta m^2_{sol}/3\Delta m^2_{atm}}$ and large $\delta_{CP}$. Using today's measured values for neutrino mass-squared differences, this
prediction gives $\sin^2\! 2{\theta_{13}}\simeq 0.086^{+0.003}_{-0.006}$, compared with a measured value, found by averaging the results of the Daya Bay and RENO experiments, of $\sin^2\! 2{\theta_{13}}=0.097\pm0.012$. Here, we develop that texture separately for the cases of Dirac and Majorana neutrinos. For Dirac neutrinos, we use the measured value of $\theta_{13}$ to predict the lightest neutrino mass. For the Majorana case, we present a specific model underlying this successful texture, and we explore its phenomenology in the context of the See-saw mechanism. Large $CP$-violation is a generic prediction of the texture.
Summary
Successful neutrino mass matrix texture updated and embedded in a full model with Majorana neutrinos. Recent theta_13 values accommodated and large CP violation predicted.
Primary authors
Prof.
Paul Fraser Harrison
(University of Warwick (UK))
Mr
Rama Krishnan
(University of Warwick)
William Scott
(STFC - Science & Technology Facilities Council (GB))
