Difference between revisions of "Event generation"

From Particle Wiki
Jump to: navigation, search
(Add event normalisation conventions)
Line 3: Line 3:
 
== Choice of event weight normalisation ==
 
== Choice of event weight normalisation ==
  
−
There are basically four different choices to normalise event weights ($\langle \cdots \rangle$ denotes the average):
+
There are basically four different choices to normalise event weights. Choosing a notation where <math>w_i</math> denotes the weight of the <math>i</math>th event, <math>N</math> is the number of generated events, <math>\sigma</math> is the generated [[cross section]] value and <math>\langle \cdots \rangle</math> denotes the average, the different conventions are:
  
−
1. <math>\langle w_i \rangle = 1</math> meaning that <math>\langle \sum_i w_i \rangle = N</math>
+
# <math>\langle w_i \rangle = 1</math> meaning that <math>\langle \sum_i w_i \rangle = N</math>
−
2. <math>\langle w_i \rangle = \sigma</math> meaning that <math>\langle \sum_i w_i \rangle = N\sigma</math>
+
# <math>\langle w_i \rangle = \sigma</math> meaning that <math>\langle \sum_i w_i \rangle = N\sigma</math>
−
3. <math>\langle w_i \rangle = 1/N</math> meaning that <math>\langle \sum_i w_i \rangle = 1</math>
+
# <math>\langle w_i \rangle = 1/N</math> meaning that <math>\langle \sum_i w_i \rangle = 1</math>
−
3. <math>\langle w_i \rangle = \sigma/N</math> meaning that <math>\langle \sum_i w_i \rangle = \sigma</math>
+
# <math>\langle w_i \rangle = \sigma/N</math> meaning that <math>\langle \sum_i w_i \rangle = \sigma</math>
 +
 
 +
The sums are over all generated events.

Revision as of 19:06, 17 July 2017

Event generation refers to the computer-based simulation of events, usually using the Monte Carlo method and an event generator.

Choice of event weight normalisation

There are basically four different choices to normalise event weights. Choosing a notation where w_i denotes the weight of the ith event, N is the number of generated events, \sigma is the generated cross section value and \langle \cdots \rangle denotes the average, the different conventions are:

  1. \langle w_i \rangle = 1 meaning that \langle \sum_i w_i \rangle = N
  2. \langle w_i \rangle = \sigma meaning that \langle \sum_i w_i \rangle = N\sigma
  3. \langle w_i \rangle = 1/N meaning that \langle \sum_i w_i \rangle = 1
  4. \langle w_i \rangle = \sigma/N meaning that \langle \sum_i w_i \rangle = \sigma

The sums are over all generated events.

Retrieved from "https://particle.wiki/index.php?title=Event_generation&oldid=584"