I have no idea what he is talking about, except that Mathematica is software. I guess he meantpinball1970 said:
, @Elham1990, already created such a thread in the "Particle Physics" forum, in which case I should inform @Elham1990 that creating duplicates is against the rules and he should instead have informed a mentor via the report button to move his thread or delete the unwanted duplicate. I consider this done, hoping he will read this response. It would have probably already been reported if it wasn't 6:39 AM east then and 10:47 AM east now in the States.A Parton Distribution Function (PDF) describes the probability density of finding a parton (quark or gluon) carrying a certain fraction of the proton's momentum inside a proton. PDFs are essential in making predictions for high-energy particle collisions, such as those occurring in the Large Hadron Collider (LHC).
Parton Distribution Functions are crucial because they provide the necessary input for calculating cross-sections in Quantum Chromodynamics (QCD) processes. Without accurate PDFs, predictions for particle collision outcomes would be highly uncertain, making it challenging to compare theoretical models with experimental data.
PDFs are determined through global fits to experimental data from various processes, such as deep inelastic scattering (DIS), Drell-Yan processes, and jet production. These fits involve complex theoretical calculations and statistical methods to extract the most accurate PDFs from the available data.
The plot of a Parton Distribution Function visually represents how the probability density of finding a parton varies with the momentum fraction (x) and the energy scale (Q²). These plots help physicists understand the internal structure of protons and predict outcomes of high-energy collisions more accurately.
Different PDF sets, such as those from CTEQ, MSTW, and NNPDF collaborations, are derived using various methodologies, data sets, and theoretical assumptions. Comparing these sets helps identify uncertainties and improve the accuracy of predictions. Multiple sets exist because no single method can perfectly capture all aspects of parton distribution, and having multiple perspectives allows for cross-validation and better understanding.