Comparision of modeling of prompt photon production in proton-proton collisions at energies NICA $\sqrt{s}$ =10 GeV in PYTHIA and calculations using FeynCalc

The process of prompt photon production in proton-proton collisions at energies of $\sqrt{s}$=10 GeV at the NICA accelerator complex, modulated using PYTHIA 8.316 and calculated in FeynCalc. The main focus is on three main subprocesses: Compton scattering of a quark-gluon $qg\to q\gamma$, annihilation of a quark-antiquark pair $q\bar{q}\to g\gamma$ and bremsstrahlung of quarks $qq\to qq\gamma$. Main statistical parameters: number of produced prompt photon on photon energy, rapidity and invariant mass photon pairs are determined. The distribution of the number of produced photons by energy$E_{\gamma }$ and rapidity photons can be mathematically described by the logarithmic-normal and normal law, correspondingly. The analysis shows that Compton scattering of a quark-gluon $qg\to q\gamma$ makes a dominant contribution to the total cross section of the process, accounting for 51.27%, while the contributions of annihilation of quark-antiquark pair $q\bar{q}\to g\gamma$ and bremsstrahlung of quarks $qq\to qq\gamma$, correspondingly are is 47.22% and 0.003%. The difference between the results obtained from the PYTHIA modeling and those calculated by FeynCalc is explained. The use of modern modeling tools such as PYTHIA not only improves the accuracy of experimental predictions, but also plays a key role in the development of new technologies for particle detection and data analysis.