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   Articles with "loop tree" as a keyword



Vacuum amplitudes and time-like causal unitary in the loop-tree duality

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recommendations! Published in 2024 at "Journal of High Energy Physics"

DOI: 10.1007/jhep01(2025)103

Abstract: We present the first proof-of-concept application to decay processes at higher perturbative orders of loop-tree duality (LTD) causal unitary, a novel methodology that exploits the causal properties of vacuum amplitudes in the LTD and is… read more here.

Keywords: tree duality; causal unitary; vacuum amplitudes; loop tree ... See more keywords

Analysis of symmetries in the causal loop-tree duality representations

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recommendations! Published in 2025 at "Physical Review D"

DOI: 10.1103/physrevd.111.105016

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 representations through a graph-theoretic analysis. Focusing on… read more here.

Keywords: tree duality; causal loop; analysis; duality representations ... See more keywords

Erratum: Causality and Loop-Tree Duality at Higher Loops [Phys. Rev. Lett. 122, 111603 (2019)].

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recommendations! Published in 2019 at "Physical review letters"

DOI: 10.1103/physrevlett.123.059902

Abstract: This corrects the article DOI: 10.1103/PhysRevLett.122.111603. read more here.

Keywords: loop tree; tree duality; duality higher; 122 111603 ... See more keywords

Open Loop Amplitudes and Causality to All Orders and Powers from the Loop-Tree Duality.

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recommendations! Published in 2020 at "Physical review letters"

DOI: 10.1103/physrevlett.124.211602

Abstract: Multiloop scattering amplitudes describing the quantum fluctuations at high-energy scattering processes are the main bottleneck in perturbative quantum field theory. The loop-tree duality is a novel method aimed at overcoming this bottleneck by opening the… read more here.

Keywords: loop tree; open loop; loop amplitudes; tree duality ... See more keywords

From Five-Loop Scattering Amplitudes to Open Trees with the Loop-Tree Duality

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14122571

Abstract: Characterizing multiloop topologies is an important step towards developing novel methods at high perturbative orders in quantum field theory. In this article, we exploit the Loop-Tree Duality (LTD) formalism to analyse multiloop topologies that appear… read more here.

Keywords: multiloop topologies; tree duality; loop tree; five loop ... See more keywords