Difference between revisions of "Event generation"

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[[Category:Theory software]]
 
'''Event generation''' refers to the computer-based simulation of [[Event|events]], usually using the [[Monte Carlo method]] and an [[event generator]].
 
'''Event generation''' refers to the computer-based simulation of [[Event|events]], usually using the [[Monte Carlo method]] and an [[event generator]].
  
 
== Choice of event weight normalisation ==
 
== Choice of event weight normalisation ==
  
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There are basically four different choices to normalise event weights ($\langle \cdots \rangle$ denotes the average):
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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<ref>Wolfgang Kilian, Thorsten Ohl, Jürgen Reuter: [http://whizard.hepforge.org WHIZARD] online user manual, [https://whizard.hepforge.org/manual/manual012.html#sec223 section 11.3]</ref>:
  
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1. <math>\langle w_i \rangle = 1</math> meaning that <math>\langle \sum_i w_i \rangle = N</math>
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# <math>\langle w_i \rangle = 1</math> meaning that <math>\langle \sum_i w_i \rangle = N</math>
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2. <math>\langle w_i \rangle = \sigma</math> meaning that <math>\langle \sum_i w_i \rangle = N\sigma</math>
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# <math>\langle w_i \rangle = \sigma</math> meaning that <math>\langle \sum_i w_i \rangle = N\sigma</math>
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3. <math>\langle w_i \rangle = 1/N</math> meaning that <math>\langle \sum_i w_i \rangle = 1</math>
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# <math>\langle w_i \rangle = 1/N</math> meaning that <math>\langle \sum_i w_i \rangle = 1</math>
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3. <math>\langle w_i \rangle = \sigma/N</math> meaning that <math>\langle \sum_i w_i \rangle = \sigma</math>
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# <math>\langle w_i \rangle = \sigma/N</math> meaning that <math>\langle \sum_i w_i \rangle = \sigma</math>
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The sums are over all generated events.
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== References ==
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<references />

Latest revision as of 12:09, 18 September 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]:

  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.

References

  1. ↑ Wolfgang Kilian, Thorsten Ohl, Jürgen Reuter: WHIZARD online user manual, section 11.3
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