(Event generation) What information do you get....

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Discussion Overview

The discussion revolves around the normalization of sample production in particle physics, specifically regarding the W/Z bosons in the context of Powheg and its relation to NNLO cross sections. Participants explore the implications of this normalization on event generation and distribution shapes, with a focus on theoretical aspects and practical considerations.

Discussion Character

  • Technical explanation, Mathematical reasoning, Debate/contested

Main Points Raised

  • Some participants explain that normalizing to NNLO cross sections means the total number of events reflects the calculated NNLO inclusive cross section, despite the production being at a lower order (LO or NLO).
  • Others propose that the scaling of events can be expressed mathematically as \(\frac{\sigma_{LO/NLO}}{\sigma_{NNLO}}\), indicating a relationship between the different orders of cross sections.
  • A later reply suggests that the normalization can also be viewed as \(\frac{\sigma_{NNLO}}{\sigma_{LO/NLO}}\), emphasizing the adjustment of total events based on the NNLO cross section.
  • One participant notes that while the scaling is theoretically defined, practical applications of POWHEG samples may not achieve NLO accuracy for distributions, as they are NLO+PS rather than fixed order.

Areas of Agreement / Disagreement

Participants express varying interpretations of the normalization process and its implications, indicating that multiple competing views remain regarding the accuracy and practical application of the normalization in event generation.

Contextual Notes

There are limitations regarding the assumptions made about the accuracy of distributions and the definitions of the cross sections involved, which remain unresolved in the discussion.

ChrisVer
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What information do you get by reading that some sample production (like the W/Z for Powheg) is normalized to the NNLO cross sections?
 
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ChrisVer said:
What information do you get by reading that some sample production (like the W/Z for Powheg) is normalized to the NNLO cross sections?

The Meaning on that statement is that the total number of events is normalized to the calculated NNLO inclusive cross section.

The production itself is done at a lower order (LO or NLO), so the shapes of all the distrubutions reflect these lower orders.

But the total normalization is accurate to NNLO.
 
So the events get scaled by something like this:
\frac{\sigma_{LO/NLO}}{\sigma_{NNLO}}?
 
ChrisVer said:
So the events get scaled by something like this:
\frac{\sigma_{LO/NLO}}{\sigma_{NNLO}}?

The total number of events are normalised by \frac{\sigma_{NNLO}}{\sigma_{LO/NLO}}
 
So practically:

\sigma_{nnlo}/\sigma_{nlo} d \sigma_{nlo} /dX

Where X is the observable. Practically though, POWHEG samples are not actually NLO accurate for distributions, since it's NLO+PS (not fixed order).
 

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