- #1
ChrisVer
Gold Member
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I have a pretty basic question...
How can you convert the Instantaneous Luminosity [itex]L_t[/itex] to the integrated Luminosity [itex]L[/itex]?
I know that the relation is the following:
[itex]L = \int L_t dt[/itex]
but if the time is [itex]\sim 25~ns[/itex] and [itex]L_t = 1.7 \times 10^{34} ~cm^{-2} s^{-1}[/itex], then I get an integrated luminosity of:
[itex]L=42.5 \times 10^{25} ~cm^{-2} = 4.25 \times 10^{-13} fb^{-1}[/itex]
which doesn't make sense as a number... dividing with the time gives a more sensible result but right now I don't see why.
How can you convert the Instantaneous Luminosity [itex]L_t[/itex] to the integrated Luminosity [itex]L[/itex]?
I know that the relation is the following:
[itex]L = \int L_t dt[/itex]
but if the time is [itex]\sim 25~ns[/itex] and [itex]L_t = 1.7 \times 10^{34} ~cm^{-2} s^{-1}[/itex], then I get an integrated luminosity of:
[itex]L=42.5 \times 10^{25} ~cm^{-2} = 4.25 \times 10^{-13} fb^{-1}[/itex]
which doesn't make sense as a number... dividing with the time gives a more sensible result but right now I don't see why.