Meaning of Scale of an events/process in MonteCarlo

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SUMMARY

The discussion clarifies the meaning of "scale" in the context of Monte Carlo simulations, particularly in particle physics. Three types of scales are identified: the momentum exchange scale (Q²), renormalization scale, and factorization scale. The momentum exchange scale is determined by the colliding particles or previous branching in parton showering. Renormalization and factorization scales are unphysical and relate to the limitations of perturbative calculations, serving as cut-offs for loop integrals and addressing particle splittings, respectively.

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  • Understanding of Monte Carlo simulations in particle physics
  • Familiarity with parton showering techniques
  • Knowledge of momentum exchange concepts (Q²)
  • Basic grasp of perturbation theory in quantum field theory
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  • Research the concept of momentum exchange in particle collisions
  • Study renormalization and factorization scales in quantum field theory
  • Explore parton shower algorithms and their implementation in Monte Carlo simulations
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Particle physicists, researchers in high-energy physics, and students studying Monte Carlo methods in simulations will benefit from this discussion.

Alkass
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Meaning of "Scale" of an events/process in MonteCarlo

Hi there

I do have this question - I often hear that "this depends on the scale of the process" for example when it comes to match the matrix-elements with a parton-shower program (I am new to MonteCarlo world)

so, what does "scale" means ? Is just the Q that is carried out by the produced particle or is what we could define as factorization scale ie Q^2 = m^2(W) + Sum{JetPT(i)}

thanks
 
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Hello,

There are I guess 3 types of scale present normally.

The first is the momentum exchange of the process, Q^2. Which is determined by the incoming colliding particles or by a previous branching if you are talking about Parton showering.

Then there are two un physical scales. Renormalization and factorisation

This first if these is essentially a momentum cut off for loop integrals.

The second has to do with factoring some particle splittings into say a proton, as oppose to including it in a matrix element.

These last two scales are a remnant if the fact we are doing perturbation only to some order. I.e. because we are ignorant to higher orders we haven't calculated.

Hope this helps
 

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