How to calculate delivered luminosity?

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SUMMARY

The discussion focuses on calculating the delivered luminosity for the CMS experiment using data from the CERN Statistics website, which reports a total delivered luminosity of 22.98 inverse femtobarns (fb-1). The user attempted to calculate this value independently, arriving at 8.16E+42, but identified a potential error in their calculations related to the use of a plus sign instead of a minus sign. The formula used for the calculation is L = (n_b * f * N_1 * N_2) / (4 * π * σ_x * σ_y * √(1 + (θ * σ_z / (2 * σ_x))²), where n_b represents the number of colliding pairs and f is the stable beam duration.

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  • Understanding of particle physics concepts such as luminosity and colliding pairs.
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  • Knowledge of the formula for calculating luminosity in high-energy physics.
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  • Review the calculation of luminosity in high-energy physics using the formula provided.
  • Investigate the significance of reduction factors for delivered luminosity in particle physics.
  • Explore the CERN Statistics website for additional data on luminosity and colliding pairs.
  • Learn about the impact of beam duration on luminosity calculations in particle accelerators.
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Physicists, researchers in high-energy physics, and students studying particle collisions and luminosity calculations will benefit from this discussion.

Melumi
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I found CMS total delivered luminosity from Cern Statistics website (22.98 inverse fb). But i want to calculate myself and using values from website's supertable page. (https://acc-stats.web.cern.ch/acc-stats/#lhc/overview-panel)
But my result is 8.16E+42
Where is my mistake?
 
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On the third line of your calculations, the second plus sign should have been a minus sign. I'm sure that's it even though I have no idea what your calculations were. ;)
 
vela said:
On the third line of your calculations, the second plus sign should have been a minus sign. I'm sure that's it even though I have no idea what your calculations were. ;)

L= (n_b*f*N_1*N_2) / 4*pi*sigma_x*sigma_y*sqrt(1+(thetha*sigma_z/2*sigma_x)^2)
n_b: number of colliding pairs for CMS on supertable (01.01.2012 - 31.12.2012)
f: stable beam duration on supertable (01.01.2012 - 31.12.2012)

L= (my calculation on excel) = 1,58E+42
But i must found 23^fb-1 (01.01.2012 - 31.12.2012)

What is reduction factors for delivered luminosity?
 

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