RMPh 2021, Експеримент — Задача 3. Exercise 3: Systematic errors
Romanian Master of Physics 2021. Experimental Problem - Measurement of D0 lifetime · 8,4 т.
Условие
You saw previously an example of a systematic effect which was present in the initial dataset and which could be removed. Other sources of systematic uncertainty could be present for various reasons due to the phenomenon, the detector or the method we have used to make the measurement. The selection of the nominal value of the lifetime involved also choosing some ranges for every variable available for study. You can change the values of the upper cuts (or lower cuts) of these values and get more determinations of the lifetime. The study of these variations can give you an estimate of the systematic effects you have by using this method for the D0 lifetime determination.
Tasks
3.1 Investigate the systematic uncertainties on the D0 lifetime for every available dependent variable. Use the defined range of each variable to perform additional measurements and extract a value for the systematic uncertainty. [6,4 т.]
Note: Each source of uncertainty will be graded. Change only one variable at the time having the others fixed.
3.2 Quote your final value for the D0 lifetime statistical and systematic uncertainties identified. [1 т.]
3.3 Order the uncertainties you computed and comment on what source limits the most the precision of your study. [1 т.]
Решение
Exercise 3: Systematic errors
3.1 Identify the availability of four variables for which the study can be made, D0 IP, D0 TAU, D0 PT and D0 Mass. For each variable it is repeated the same study of finding the uncertainty associated with choosing the allowed range and the working point.
For the value of the uncertainty use a formula similar to the one below
Let x0 = nominal point
s_IP = sqrt((x_1-x0)**2 + (x_2-x0)**2 + …. (x_n-x0)**2)/n)
| s_D0 IP = | 1,6 p |
| s_D0 TAU = | 1,6 p |
| s_D0 PT = | 1,6 p |
| s_D0 M = | 1,6 p |
3.2 The quotation of the D0 lifetime with (1) statistical uncertainty, (2) systematic uncertainty for D0 IP (3) D0 TAU (4) D0 PT (5) D0 M 1 p
3.3 Order the uncertainty sources and comment on them 1 p
Оригинал в Архива: RMPh_2021_Q4.pdf · официални решения: exp_sol.pdf