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Explore the evolution and cutting-edge developments in multiloop renormalization group theory through this comprehensive conference talk delivered at ICBS2025. Delve into the historical foundations of renormalization group methods and discover the latest computational advances that have revolutionized our understanding of quantum field theory calculations. Learn about sophisticated techniques for handling multiloop diagrams and their applications in modern theoretical physics. Examine the mathematical frameworks that enable precise calculations in perturbative quantum field theory and understand how these methods contribute to our knowledge of fundamental particle interactions. Gain insights into current research directions and future perspectives in this rapidly advancing field of theoretical physics. The presentation covers both foundational concepts and state-of-the-art methodologies, making it valuable for researchers working in quantum field theory, particle physics, and related areas of mathematical physics.
