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Working Group 4 : Accelerators, Research and Development, detection techniques

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Experimental Status


The recent measurements on neutrino oscillation probability open new research field for fundamental research and request new facilities and sophisticated detectors to probe new physics. This working group (WG4) focus on new and innovative detection techniques in neutrino physics and will try to make the state of art in these field.

Experimental status in three active neutrino oscillation framework
Most the parameters of the PMNS matrix are measured


\underbrace{
\left(
\begin{array}{c}
\textcolor{red}{\nu_e}\\
\textcolor{green}{\nu_\mu}\\
\textcolor{blue}{\nu_\tau}
\end{array}
\right)}_{Flavor Eigenstates}
=
\textcolor{blue}{
\underbrace{
\left(
\begin{array}{ccc}
 c_{12} & s_{12} & 0\\
-s_{12} & c_{12} & 0\\
       0   &     0     & 1
\end{array}
\right)
}_{Solar, Reactors}}
\textcolor{green}{
\underbrace{
\left(
\begin{array}{ccc}
1 &  0         & 0\\
0 & c_{12}  & s_{12} \\
0 & -s_{12} & c_{12} \\
\end{array}
\right)
}_{Atmospheric, Accelerator}}
\textcolor{red}{
\underbrace{
\left(
\begin{array}{ccc}
 c_{13} & 0 &s_{13}.e^{i\delta}\\
0          & 1 & 0\\
  -s_{13}.e^{-i\delta}  &     0     & 1
\end{array}
\right)}_{CP Violation}}
\underbrace{
\left(
\begin{array}{ccc}
1    & 0 & 0\\
0    & e^{\alpha/2} & 0\\
0    &     0           & e^{\alpha/2+\beta/2}
\end{array}
\right)}_{Majorana Terms}
\underbrace{
\left(
\begin{array}{c}
\nu_1\\
\nu_2\\
\nu_3
\end{array}
\right)}_{Mass Eigenstates}

with c_{ij} = cos (\theta_{ij}) and s_{ij} = sin (\theta_{ij})

The neutrino oscillation probability from flavor \alpha to \beta is given by:


P_{\alpha - \beta} = \delta_{\alpha \beta} 
- 4 \sum_{i>j}^{3} Re[ U^{*}_{\alpha i}.U_{\beta i}.U_{\alpha j}.U^{*}_{\beta j}].sin\left(\frac{\Delta m^2_{ij}}{4}.\frac{L}{E}\right)
+ 2 \sum_{i>j}^{3} Im[ U^{*}_{\alpha i}.U_{\beta i}.U_{\alpha j}.U^{*}_{\beta j}].sin\left(\frac{\Delta m^2_{ij}}{2}.\frac{L}{E}\right)

Neutrino Parameter Status


\begin{array}{|c|c|} \hline 
Parameter &  Value  \\ \hline  \hline
sin^2 \theta_{12}              & 0.312^{+0.052}_{-0.047} \\ \hline
sin^2 \theta_{23}              & 0.42^{+0.22}_{-0.08} \\ \hline
sin^2 \theta_{13}              & 0.0251^{+0.0109}_{-0.0101} \\ \hline
\Delta m^2_{12}               & (7.58)^{+0.60}_{-0.59} \time 10^{-5} eV^2 \\ \hline
| \Delta m^2_{32} |           & (2.35)^{+0.32}_{-0.29} \time 10^{-3} eV^2 \\ \hline
\text{Sign of } \Delta m^2_{32}   & unknown \\ \hline
\delta_{CP}                      & unknown  \\ \hline
\end{array}


Next challenges in neutrino physics

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