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Weinzierl,Feynman Integrals, arXiv e-prints (Jan., 2022) arXiv:2201.03593 [2201.03593]

Canonical reference. 80% of citing Pith papers cite this work as background.

15 Pith papers citing it
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Resonance and Differential Reduction of Feynman Integrals

hep-th · 2026-06-08 · unverdicted · novelty 7.0

The paper develops reduction operators from resonance in GKZ systems to contract edges in Feynman graphs for one-loop, sunrise, and banana graphs, closing differential equation systems to master integrals.

Towards Equations for String Amplitudes

hep-th · 2026-06-30 · unverdicted · novelty 6.0

Tree-level open bosonic string amplitudes satisfy a complete system of linear difference equations in kinematic variables whose number matches the independent parameters, recovering algebraic QFT structure as alpha approaches zero.

Finite Massless Pentaboxes

hep-ph · 2026-06-08 · unverdicted · novelty 5.0

Characterizes numerators yielding finite or evanescent massless pentabox integrals, gives compact generators via momentum basis and Gram determinants, and evaluates lowest-rank cases in polylogarithms and pentagon functions.

Genus drop involving non-hyperelliptic curves in Feynman integrals

hep-th · 2026-05-08 · unverdicted · novelty 5.0

The extra-involution mechanism for genus drop is a special case of unramified double covering between curves, which explains genus drops with non-hyperelliptic to hyperelliptic transitions in certain three-loop Feynman integrals.

Minkowski Space holography and Radon transform

hep-th · 2025-09-05 · unverdicted · novelty 5.0

Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.

Comments on Celestial CFT and $AdS_{3}$ String Theory

hep-th · 2024-10-03 · unverdicted · novelty 4.0

Extends H3+-WZNW celestial CFT to holographically generate MHV amplitudes in Klein space, deriving dictionary, stress tensor, correlators, OPE and PDEs from KZ equations.

An Alternative Viewpoint on Kinematic Flow from Tubing Splitting

hep-th · 2026-05-18 · unverdicted · novelty 3.0

Reversing the direction of tubing evolution yields splitting rules that reproduce the kinematic flow differential equations at tree level and suggest time emerges from kinematic space in conformally coupled scalar models and tr phi^3 theory.

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