Geometry and causal flux in multi-loop Feynman diagrams

Sborlini, Germán F. R.

doi:10.31349/suplrevmexfis.3.020703

Cited by 3 publications

(3 citation statements)

References 45 publications

(70 reference statements)

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“…One of these rules establishes that the binary partitions associated to each 𝜆 𝜎 (𝑖) for 𝜎 ∈ Σ must have a compatible momentum flux. It turns out that such momentum flux compatibility is possible if and only if the associated directed graph (DG) for the reduced Feynman diagram has no loops [15,26]. Thus, the geometrical formulation of causal LTD implies that the causal representation in Eq.…”

Section: Pos(eps-hep2023)501mentioning

confidence: 99%

Tackling Feynman integrals with quantum minimization algorithms

Sborlini

2024

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2023)

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One of the most severe bottlenecks to reach high-precision predictions in QFT is the calculation of multiloop multileg Feynman integrals. Several new strategies have been proposed in the last years, allowing impressive results with deep implications in particle physics. Still, the efficiency of such techniques starts to drastically decrease when including many loops and legs. In this talk, we explore the implementation of quantum algorithms to optimize the integrands of scattering amplitudes. We rely on the manifestly causal loop-tree duality, which translates the loop into phase-space integrals and avoids the spurious singularities due to non-causal effects. Then, we built a Hamiltonian codifying causal-compatible contributions and minimize it using a Variational Quantum Eigensolver. Our very promising results point towards a potential speed-up for achieving a more numerically-stable representation of Feynman integrals by using quantum computers.

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Section: Pos(eps-hep2023)501mentioning

confidence: 99%

Tackling Feynman integrals with quantum minimization algorithms

Sborlini

2024

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2023)

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“…Since the computational complexity scales exponentially with the number of multi-edges, this could be a potential bottleneck for multileg multi-loop amplitudes. For this reason, novel strategies based on quantum algorithms are starting to be explored [37,41].…”

Section: Causal Propagator Orientationmentioning

confidence: 99%

Geometry and causality for efficient multiloop representations

Sborlini

2022

SciPost Phys. Proc.

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Multi-loop scattering amplitudes constitute a serious bottleneck in current high-energy physics computations. Obtaining new integrand level representations with smooth behaviour is crucial for solving this issue, and surpassing the precision frontier. In this talk, we describe a new technology to rewrite multi-loop Feynman integrands in such a way that non-physical singularities are avoided. The method is inspired by the Loop-Tree Duality (LTD) theorem, and uses geometrical concepts to derive the causal structure of any multi-loop multi-leg scattering amplitude. This representation makes the integrand much more stable, allowing faster numerical simulations, and opens the path for novel re-interpretations of higher-order corrections in QFT.

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“…Since the computational complexity scales exponentially with the number of multiedges, this could be a potential bottleneck for multi-leg multi-loop amplitudes. For this reason, novel strategies based on quantum algorithms are starting to be explored [37,41].…”

Section: Causal Propagator Orientationmentioning

confidence: 99%