From: Heidi Schellman
totnue oscnue nomass negative
20GeVnf 6472.89 162.895 107.032 45.1315
30GeVnf 21896.7 288.07 223.239 115.141
50GeVnf 101494 515.511 463.249 282.504
totnumu oscnue
he 6475.63 155.326 98.1059 40.3612
me 2845.61 108.25 49.5294 15.6122
le 1086.82 28.3479 12.1083 5.899
sin13 0.05
dm23 0.0035 ev^2
rho 2.7 gr/cm^3
l 2900 km
m 10 kt
N mu 10^20 mudecay
N numi 4 nominal
I considered positive, neutral and negative mass effects
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In the meeting I was wondering if the matter effects resonance might actually
make longer
baselines much more attractive for high background experiments. The idea
is that the matter enhancement is growing as l^2 while the flux is falling as
l^2.
The statistics for the signal thus are ~ the same at either baseline but the
overall neutrino flux falls as l^2 so one can gain quite a lot.
This is a mathematica calculation with constant density and dm12 = 0 and theta23
= pi/4
delta = 0.
sin2theta13 is 0.05, dm23 = 0.0035 ev^2, density of earth is 2.7 gm/cm&3
target is 10 kt, 10^20 muon decays compared to 4 times present numi flux
The beamlines are neutrino factories storing positive muons and the NUMI
lo,me and he fluxes scaled up by a factor of 4.
I have checked the neutrino factory fluxes against the plots in Bueno et al
with similar parameters.
For 2900 km
2900
totnue oscnue nomass negative osc/tot
20GeVnf 6472.89 162.90 107.03 45.13 0.025
30GeVnf 21896. 288.07 223.24 115.14 0.013
50GeVnf 101494. 515.51 463.25 282.50 0.005
totnumu oscnue
he 6475.63 155.33 98.11 40.36 0.024
me 2845.61 108.25 49.53 15.61 0.038
le 1086.82 28.35 12.11 5.90 0.026
for 7200 km
7200
totnue oscnue nomass negative osc/tot
20GeVnf 1050.10 101.87 14.59 5.25 0.097
30GeVnf 3552.30 223.99 73.36 6.18 0.063
50GeVnf 16465.4 405.14 270.16 9.94 0.025
totnumu oscnue
he 1050.54 86.05 16.20 4.31 0.082
me 475.81 24.14 6.65 2.32 0.051
le 176.31 8.39 2.11 1.19 0.048
note that for the NUMI he beam, the loss of statistics is a factor of 2 in the
signal
and a factor of 6 in the beam - the actual gain is a factor of 3.4 over 2900 in
S/N.
For the 50 GeV beam, the gain is a factor of 4.8 and the oscillation fraction is
close
to 10%.