Study of w+jet cross-sections at Next-To-Leading Order at Future Circiullar Collider at √s=100 TeV

This study provides a detailed investigation of W+jets production in proton-proton collisions at √s=100 TeV, focusing on the comparison of leading order and next-to-leading order cross-sections. By employing the UNLOPS algorithm, a unified framework was established to improve the accuracy and stability of theoretical predictions, particularly in the context of higher jet multiplicities. The k-factor, a critical metric for quantifying the impact of higher-order corrections, highlighted the substantial contributions of next-to-leading order processes compared to leading order, with a calculated value of 2.501. This value underscores the necessity of incorporating next-to-leading order corrections to achieve precise and reliable predictions in collider physics. The findings indicate that W⁺ cross-sections are consistently higher than W⁻ cross-sections. Additionally, the differential cross-sections decrease as jet multiplicity increases, aligning with theoretical expectations. This work emphasizes the importance of incorporating next-to-leading order corrections for future collider experiments, particularly for facilities like the future circular collider. The results provide a strong foundation for benchmarking theoretical predictions against experimental data and for guiding the optimization of next-generation colliders. Furthermore, the study highlights the versatility and robustness of the UNLOPS algorithm in addressing the challenges of high-energy jet dynamics, offering valuable insights into W+jets processes and their role in advancing our understanding of Quantum Chromodynamics.