Speaker
Mr
Uma Sankar S.
(Indian Institute of Technology Bombay)
Description
The neutrino mixing angles are predicted to be $\theta_{23}=-\pi/4$ and
$\theta_{13}=0$ if the neutrino mass matrix has $\mu\leftrightarrow\tau$ exchange symmetry.
We need to break this symmetry to obtain a match with experimental measurements.
This breaking is given by two parameters: $\varepsilon_1$ and $\varepsilon_2$.
We show that the magnitude
of $\theta_{13}$ is controlled by $\varepsilon_1$ whereas the deviation
of $\theta_{23}$ from maximality is controlled by $\varepsilon_2$. The measured value of $\theta_{13}$ requires
$\mu\leftrightarrow\tau$ symmetry to be badly broken for both normal hierarchy
and inverted hierarchy, though the level of breaking depends sensitively on the
hierarchy. We also find that the precision oscillation data constrains all elements
of neutrino mass matrix to be in very narrow ranges. In the case of inverted hierarchy,
we find that $\mu\leftrightarrow -\tau$ exchange symmetry provides an explanation
of neutrino mixing angles with some fine-tuning.
| Session and Location | Wednesday Session, Poster Wall #146 (Hölderlin-Room) |
|---|---|
| Poster included in proceedings: | yes |
Primary author
Mr
Rambabu Korrapati
(Indian Institute of Technology Bombay)
Co-author
Mr
Uma Sankar S.
(Indian Institute of Technology Bombay)
