11 | | In general, the probability that an event is accepted depends on the characteristics of the measured event, and not on the process that produced it. The measured probability density %$\bar{P}(x,\alpha)$% can be related to the produced probability density %$P(x,\alpha)$%: %\[\bar{P}(x,\alpha){{{Acc(x) P(x,\alpha)\]% where %$ Acc(x)$% is the detector acceptance, which depends only on %$ x $%. So the quantity that we have to minimize is %\[-ln (\tilde{L})}}}-\sum_{i=1}^{N} ln(P(x_i;\alpha)) + N \int Acc(x) P(x,\alpha)dx\]% where the term %$-\sum_{i=1}^N ln(Acc(x_i))$% has been omitted since it does not depend on %$\alpha$%. |
| 11 | In general, the probability that an event is accepted depends on the characteristics of the measured event, and not on the process that produced it. The measured probability density %$\bar{P}(x,\alpha)$% can be related to the produced probability density %$P(x,\alpha)$%: %\[\bar{P}(x,\alpha){{{ |
| 12 | Acc(x) P(x,\alpha)\]% where %$ Acc(x)$% is the detector acceptance, which depends only on %$ x $%. So the quantity that we have to minimize is %\[-ln (\tilde{L}) |
| 13 | }}}-\sum_{i=1}^{N} ln(P(x_i;\alpha)) + N \int Acc(x) P(x,\alpha)dx\]% where the term $-\sum_{i=1}^N ln(Acc(x_i))$ has been omitted since it does not depend on $\alpha$. |
16 | | 1. %$ x $% is the set of information describing the events in the detector (momenta,tag,...) |
17 | | 1. %$ \alpha $% describe a theoretical hyppothesis |
18 | | 1. %$\sigma_{ \alpha}$% is the cross section of this theoretical hyppothesis |
19 | | 1. %$M_{ \alpha}$% is the aplitude linked to this theoretical framework |
20 | | 1. %$f_i(w_i)$% is the parton distribution function associate to the initial parton |
21 | | 1. %$W(x, y)$% is the TransferFunction |
| 18 | 1. $ x $ is the set of information describing the events in the detector (momenta,tag,...) |
| 19 | 1. $ \alpha $ describe a theoretical hyppothesis |
| 20 | 1. $\sigma_{ \alpha}$ is the cross section of this theoretical hyppothesis |
| 21 | 1. $M_{ \alpha}$ is the aplitude linked to this theoretical framework |
| 22 | 1. $f_i(w_i)$ is the parton distribution function associate to the initial parton |
| 23 | 1. $W(x, y)$ is the TransferFunction |