L–E_μ and the LENF

by P. Ballett and S. Pascoli
hep-ph/1201.6299


Here are some supplementary graphs showing the performance of the LENF, with optimistic magnetized detectors, as its baseline distance and stored muon energy are scaled up to those of the HENF.
Decaying muons are the source at a neutrino factory.
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LENF IPPP

Here we provide our simulated sensitivities using two different estimates of the number of useful muon decays per year per polarity. The first value 1.0×10²¹ corresponds to the standard IDS-NF configuration of the Neutrino Factory. The higher value of 1.4×10²¹ is based on a potential re-optimisation of the muon accelerator facility.

CP-Violation Discovery1.0×10²¹1.4×10²¹
Non-zero θ₁₃ Discovery1.0×10²¹1.4×10²¹
Hierarchy Determination1.0×10²¹1.4×10²¹

We have computed the discovery contour plots for each individual choice of baseline and stored muon energy. These were condensed into the files above by using the concept of the discovery fraction. However, the contours themselves can be instructive (for example if the explicit dependence on δ is important) and can be downloaded below.

Non-zero θ₁₃ Discovery Contours

In each of these plots, the contours mark the regions of parameter space for which we can rule out θ₁₃=0 at 3σ significance. For each detector, contours are available for both 1.0×10²¹ muon decays per year per polarity and the optimised value of 1.4×10²¹. Each file contains the contours for the full range of stored muon energies.

TASDLAr (cons)LAr (opt)
1000 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1150 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1300 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1450 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1600 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1750 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1900 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2050 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2200 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2350 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2500 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2650 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2800 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2950 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3100 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3250 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3400 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3550 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3700 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3850 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
4000 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹

CP-Violation Discovery Contours

In these plots, the contours mark the regions of parameter space for which all of the CP-conserving values of δ can be excluded at 3σ significance. As before, for each detector contours have been calculated for both the conventional and optimised estimates of the number of muon decays per year per polarity. Each file contains the contours for the full range of stored muon energies.

TASDLAr (cons)LAr (opt)
1000 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1150 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1300 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1450 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1600 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1750 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1900 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2050 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2200 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2350 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2500 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2650 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2800 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2950 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3100 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3250 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3400 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3550 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3700 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3850 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
4000 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹

Hierarchy Determination Contours

In these plots, the contours mark the regions of parameter space for which the incorrect hierarchy can be ruled out to 3σ significance. As before, for each detector contours have been calculated for both the conventional and optimised estimates of the number of muon decays per year per polarity. Each file contains the contours for the full range of stored muon energies.

TASDLAr (cons)LAr (opt)
1000 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1150 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1300 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1450 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1600 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1750 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
1900 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2050 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2200 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2350 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2500 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2650 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2800 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
2950 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3100 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3250 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3400 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3550 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3700 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
3850 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹
4000 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹ 1.0×10²¹     1.4×10²¹