source: Backup NB/Talks/MEMPHYSetal/CERN-Frejus/TS-29sept06/CERN-MEMPHYS.aux@ 689

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\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Allowed regions in $\qopname  \relax o{sin}^22\theta _{13}$ and $\delta _\mathrm  {CP}$ for LBL data alone (contour lines) and LBL+ATM data combined (colored regions). $\mathrm  {H^{tr/wr} (O^{tr/wr})}$ refers to solutions with the true/wrong mass hierarchy (octant of $\theta _{23}$). The true parameter values are $\delta _\mathrm  {CP} = -0.85 \pi $, $\qopname  \relax o{sin}^22\theta _{13} = 0.03$, $\qopname  \relax o{sin}^2\theta _{23} = 0.6$, and the values from Eq.\nobreakspace  {}(\G@refundefinedtrue \text  {\normalfont  \bfseries  ??}\GenericWarning  {               }{LaTeX Warning: Reference `eq:default-params' on page 13 undefined}) for the other parameters.}}{13}}
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\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Resolving degeneracies in SPL by successively using the appearance rate measurement, disappearance channel rate and spectrum, spectral information in the appearance channel, and atmospheric neutrinos. Allowed regions in $\qopname  \relax o{sin}^22\theta _{13}$ and $\delta _\mathrm  {CP}$ are shown at 95\%\nobreakspace  {}CL, and $\mathrm  {H^{tr/wr} (O^{tr/wr})}$ refers to solutions with the true/wrong mass hierarchy (octant of $\theta _{23}$). The true parameter values are $\delta _\mathrm  {CP} = -0.85 \pi $, $\qopname  \relax o{sin}^22\theta _{13} = 0.03$, $\qopname  \relax o{sin}^2\theta _{23} = 0.6$, and the values from Eq.\nobreakspace  {}(\G@refundefinedtrue \text  {\normalfont  \bfseries  ??}\GenericWarning  {               }{LaTeX Warning: Reference `eq:default-params' on page 13 undefined}) for the other parameters.}}{13}}
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\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Allowed regions in $\qopname  \relax o{sin}^22\theta _{13}$ and $\delta _\mathrm  {CP}$ for 5\nobreakspace  {}years data (neutrinos only) from $\beta $B, SPL, and the combination. $\mathrm  {H^{tr/wr} (O^{tr/wr})}$ refers to solutions with the true/wrong mass hierarchy (octant of $\theta _{23}$). For the colored regions in the left panel also 5\nobreakspace  {}years of atmospheric data are included; the solution with the wrong hierarchy has $\Delta \chi ^2 = 4$. The true parameter values are $\delta _\mathrm  {CP} = -0.85 \pi $, $\qopname  \relax o{sin}^22\theta _{13} = 0.03$, $\qopname  \relax o{sin}^2\theta _{23} = 0.6$, and the values from Eq.\nobreakspace  {}(\G@refundefinedtrue \text  {\normalfont  \bfseries  ??}\GenericWarning  {               }{LaTeX Warning: Reference `eq:default-params' on page 14 undefined}) for the other parameters. For the $\beta $B\ only analysis (middle panel) an external accuracy of 2\% (3\%) for $|\Delta m^2_{31}|$ ($\theta _{23}$) has been assumed, whereas for the left and right panel the default value of 10\% has been used.}}{14}}
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\@writefile{lot}{\contentsline {table}{\numberline {4}{\ignorespaces Accuracies at $3\sigma $ on the atmospheric parameters $|\Delta m^2_{31}|$ and $\qopname  \relax o{sin}^2\theta _{23}$ for 5 years of neutrino data from T2K-I, SPL, and T2HK for the two test points shown in Fig.\nobreakspace  {}\G@refundefinedtrue \text  {\normalfont  \bfseries  ??}\GenericWarning  {               }{LaTeX Warning: Reference `fig:atm-params' on page 15 undefined} ($\theta ^\mathrm  {true}_{13} = 0$). The accuracy for a parameter $x$ is defined as $(x^\mathrm  {upper} - x^\mathrm  {lower})/(2 x^\mathrm  {true})$, where $x^\mathrm  {upper}$ ($x^\mathrm  {lower}$) is the upper (lower) bound at 3$\sigma $ for 1\nobreakspace  {}d.o.f.\ obtained by projecting the contour $\Delta \chi ^2 = 9$ onto the $x$-axis. For the accuracies for test point\nobreakspace  {}2 the octant degenerate solution is neglected.}}{15}}
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\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces  Allowed regions of $\Delta m^2_{31}$ and $\qopname  \relax o{sin}^2\theta _{23}$ at 99\%\nobreakspace  {}CL (2 d.o.f.) after 5\nobreakspace  {}yrs of neutrino data taking for SPL, T2K phase\nobreakspace  {}I, T2HK, and the combination of SPL with 5\nobreakspace  {}yrs of atmospheric neutrino data in the MEMPHYS detector. For the true parameter values we use $\Delta m^2_{31} = 2.2\tmspace  +\thinmuskip {.1667em} (2.6) \times 10^{-3}\nobreakspace  {}\mathrm  {eV}^2$ and $\qopname  \relax o{sin}^2\theta _{23} = 0.5 \tmspace  +\thinmuskip {.1667em} (0.37)$ for the test point 1 (2), and $\theta _{13} = 0$ and the solar parameters as given in Eq.\nobreakspace  {}(\G@refundefinedtrue \text  {\normalfont  \bfseries  ??}\GenericWarning  {               }{LaTeX Warning: Reference `eq:default-params' on page 16 undefined}). The shaded region corresponds to the 99\%\nobreakspace  {}CL region from present SK and K2K data\nobreakspace  {}\cite  {Maltoni:2004ei}.}}{16}}
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\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces $3\sigma $ discovery sensitivity to $\ensuremath  {\qopname  \relax o{sin}^22\theta _{13}}$ for $\beta $B, SPL, and T2HK as a function of the true value of \ensuremath  {\delta _{\rm  CP}}\ (left panel) and as a function of the fraction of all possible values of \ensuremath  {\delta _{\rm  CP}}\ (right panel). The width of the bands corresponds to values for the systematical errors between 2\% and 5\%. The black curves correspond to the combination of $\beta $B\ and SPL with 10\nobreakspace  {}yrs of total data taking each for a systematical error of 2\%, and the dashed curves show the sensitivity of the $\beta $B\ when the number of ion decays/yr are reduced by a factor of two with respect to the values given in Tab.\nobreakspace  {}\G@refundefinedtrue \text  {\normalfont  \bfseries  ??}\GenericWarning  {               }{LaTeX Warning: Reference `tab:setups' on page 17 undefined}.}}{17}}
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\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces Impact of total exposure and systematical errors on the CPV discovery potential of $\beta $B, SPL, and T2HK. We show the smallest true value of $\ensuremath  {\qopname  \relax o{sin}^22\theta _{13}}$ for which $\ensuremath  {\delta _{\rm  CP}}= \pi /2$ can be distinguished from $\ensuremath  {\delta _{\rm  CP}}= 0$ or $\ensuremath  {\delta _{\rm  CP}}= \pi $ at $3\sigma $ $(\Delta \chi ^2>9)$ as a function of the exposure in kt\nobreakspace  {}yrs (left) and as a function of the systematical error on the background $\sigma _\mathrm  {bkgr}$ (right). The widths of the curves in the left panel corresponds to values of $\sigma _\mathrm  {bkgr}$ from 2\% to 5\%. The thin solid curves in the left panel corresponds to no systematical errors. The right plot is calculated for the standard exposure of 4400\nobreakspace  {}kt\nobreakspace  {}yrs. No systematical error on the signal has been assumed. }}{20}}
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\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces Discovery potential of a finite value of $\ensuremath  {\qopname  \relax o{sin}^22\theta _{13}}$ at $3\sigma $ $(\Delta \chi ^2>9)$ for 5\nobreakspace  {}yrs neutrino data from $\beta $B, SPL, and the combination of $\beta $B\ + SPL compared to 10\nobreakspace  {}yrs data from T2HK (2\nobreakspace  {}yrs neutrinos + 8\nobreakspace  {}yrs antineutrinos). }}{23}}
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\@writefile{lof}{\contentsline {figure}{\numberline {17}{\ignorespaces $\Delta \chi ^2$ of the solution with the wrong octant of $\theta _{23}$ as a function of the true value of $\qopname  \relax o{sin}^2\theta _{23}$. We have assumed a true value of $\theta _{13} = 0$.}}{26}}
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