Table 1. Systematic errors.

Error source	Normalized variation s Category A (10−9/mm)	‹z›Δ Category B (mm)	Time invariant ‹z› Category D (mm)	Q error net (10−8)
10 s Hold time.	−	−	±0.04*	−
Improved B(r,t), dB/dt terms, adaptive Runge-Kutta propagator.	±0.01 [±0.01]*	±0.09 [±0.03]†	±0.20†	±0.03†
Degraded E(r,t).	±0.01 [±0.01]*	±0.10 [±0.03]†	±0.24†	±0.03†
|c> Space included.	±0.01 [±0.01]*	−	±0.07*	±0.01*
±1% Differential mirror drift.	−	±0.13 [±0.04]‡	±0.29‡	±0.05‡
±1% Common mode mirror drift.	±0.01 [±0.01]‡	±0.02 [±0.00]‡	±0.03‡	±0.02‡
2 mrad Solenoid tilt.	±0.01 [±0.02]*	±0.07 [±0.02]*	±0.15*	±0.03*
±1% Octupole drift.	−	±0.01 [±0.00]*	±0.03*	±0.01*
External magnet.	−	±0.06 [±0.02]‡	±0.11‡	±0.02‡
3 × Radius, 2 × length.	±0.01 [±0.02]*	±0.07 [±0.02]*	±0.15*	±0.03*
Initial energy distribution.	±0.22 [±0.29]‡	±0.04 [±0.01]‡	±0.05‡	±0.31‡
Anisotropic initial distribution.	±0.08 [±0.11]†	±0.17 [±0.06]†	±0.23†	±0.12†
Detector z-centre relative to electrode z-centre.	−	±0.17 [±0.06]‡	±0.2‡	±0.06‡
Mirror z-centre relative to electrode z-centre.	−	−	±0.5‡	−
Detector efficiency.	±0.03 [±0.04]‡	±0.02 [±0.01]‡	±3.6‡	±0.04‡
Long-term detector drift.	−	±0.04 [±0.01]‡	±0.09‡	±0.01‡
Cosmic background.	−	±0.25 [±0.08]§	−	±0.08§
Antiproton background.	−	±0.13 [±0.04]‡	−	±0.04‡

Entries in [] are the induced Q error associated with the adjacent entries, scaled by 10⁻⁸. (These entries do not always sum to the corresponding entries in the Q Error Net column because of rounding and because the entries in the sum are sometimes known to have opposite sign.) The normalized variation in the sensitivity s=dQ/d‹z›_Δ is defined to be s/s_Nom−1, where s_Nom is the sensitivity evaluated with nominal parameters. Entries that are zero to two digits are designated with a ‘−’.

^*Effects for which the 1σ sampling errors in the simulations used to study the effects are larger than the size of the effect predicted by the simulation; thus, we cannot determine whether these effects would cause an actual change in the experimental observations. More precisely, the simulations generally predict an effect of size a±b. For these entries, |a|<b; to give an estimate of the worst case errors possible for these effects, we report the value of b, not that of a. For all other entries, we report a.

^†Comparisons between simulations where |a|>b.

^‡The potential effect caused by some independently measurable parameter c±d is real, that is, the simulations or calculations predict |a(c)|>b(c), but the 1σ errors in the measurement of the relevant parameter are compatible with zero, that is, |c|<d. Consequently, we do not know whether these error sources cause an actual change in our data.

^§An effect based on an independently measured parameter that is not compatible with zero; this effect is likely to have caused a change to our data.