Elong-13-04-29

Rates Update

→ For the plots below, I assume the following:

Target Material	ND3
Target Length	3 cm
fdil	6/20
pf	0.8
Pzz	20%
E0	11 GeV
xBjorken	0.1, 0.3, 0.5, 0.75, 1.0
Q2	Variable
θq	Calculated
θe'	Calculated
E'	Calculated
W	Calculated

→ θ_e' and E' limits were added for each spectrometer

→ Error bars shown are statistical only

→ F1 and F2 are calculated using the Bosted fits, which lets us extend into a higher <x> range

→ It is valid for 0<W<3.2 GeV and 0.2<Q²<5 GeV²

→ The error bars are calculated from:

File:2013-04-29-dAzz.png

Maximizing Rate (Minimizing A_zz)

If we set the spectrometer such that we aim to increase the rate as high as we can, it will get us the lowest (statistically) achievable A_zz.

The settings above give us the highest rates we can achieve, and thus the lowest error bars on A_zz. Each of the <x> values is set over the course of 1 PAC-week, allowing us to take any four of the above points.

<x>	dAzz with SHMS	dAzz with HMS
0.1	???	???
0.3	???	???
0.5	???	???
0.75	???	???
1.0	???	???

The db1 Problem

→ Since db₁ is calculated from , it is dependent upon F₁ → For each of the <x> values that I've been looking at, the following show what the Bosted code produces as a function of Structure Function vs. Q^2

Structure Function vs. Q ² for <x>=0.1

Structure Function vs. Q ² for <x>=0.3

Structure Function vs. Q ² for <x>=0.5

Structure Function vs. Q ² for <x>=0.75

Structure Function vs. Q ² for <x>=1.0

Minimizing db₁

If we set the spectrometer such that we aim to increase the rate as high as we can, it will get us the lowest (statistically) achievable db₁.

The settings above give us the lowest statistical error bars we can achieve on db₁. Each of the <x> values is set over the course of 1 PAC-week, allowing us to take any four of the above points.

<x>	dAzz with SHMS	dAzz with HMS
0.1	???	???
0.3	???	???
0.5	???	???
0.75	???	???
1.0	???	???

--E. Long 17:20, 26 April 2013 (UTC)