2019/11/21 by Robert L. Runkel, Zoltán Szőr, Runkel, Robert +5
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.1911.09610
openalex publication_date 2019/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new formulation of the loop-tree duality theorem for higher loop diagrams valid both for massless and massive cases. l-loop integrals are expressed as weighted sum of trees obtained from cutting l internal propagators of the loop graph. In addition, the uncut propagators gain a modified i δ-prescription, named dual-propagators. In this new framework one can go beyond graphs and calculate the integrand of loop amplitudes as a weighted sum of tree graphs, which form a tree-like object. These objects can be computed efficiently via recurrence relations.