Analysis of symmetries in the Causal Loop-Tree Duality representations

2024/12/04 by Irene Lopez Imaz, Imaz, Irene Lopez, Germán F. R. Sborlini +1 · 2 citations
Chemistry · Computer Science · #Data Visualization and Analytics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #History and advancements in chemistry #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2502.14179

openalex publication_date 2024/12/04 · openalex created_date 2025/02/22 · openalex updated_date 2026/07/28

Abstract

Unveiling hidden symmetries within Feynman diagrams is crucial for achieving more efficient computations in high-energy physics. In this paper, we study the symmetries underlying the causal Loop-Tree Duality (LTD) representations through a graph-theoretic analysis. Focusing on the integrand-level representations of N-point functions at one loop, we examine their degeneration and discover that different causal representations are interconnected through specific transformations arising from the symmetries of cut diagrams. Furthermore, the degeneration is linked to algebraic constraints among the different causal thresholds. Our findings shed new light on the deeper structures of Feynman integrals and pave the way for significantly accelerating their calculation by interrelating different approaches.

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• Graph theory-based automated quantum algorithm for efficient querying of acyclic and multiloop causal configurations
• Unlocking Multi-Dimensional Integration with Quantum Adaptive Importance Sampling

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