Revealing Hidden Regions in Wide-Angle and Forward Scattering

We discuss a class of Feynman Integrals containing hidden regions that are not straightforwardly identified using the geometric, or Newton polytope, approach to the method of regions. Using Landau singularity analysis and existing analytic results, we study the appearance of such regions in wide-angle and forward scattering and discuss how they can be exposed in both the momentum and parametric representations. We demonstrate that in the strict on-shell limit such integrals contain Landau singularities that prevent their direct numerical evaluation in parameter space and describe how they can be re-parameterised and dissected to circumvent this problem.

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Publication Details

Published
2024-09-17
DOI
https://doi.org/10.22323/1.467.0032
Citations
1
Primary Topic
Remote Sensing and LiDAR Applications
Type
article
Field-Weighted Citation Impact
0.21

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article

Revealing Hidden Regions in Wide-Angle and Forward Scattering

Einan Gardi, Stephen Jones, Yao Ma, Franz Herzog
1 citations
Remote Sensing and LiDAR Applications
0.21
article

Revealing Hidden Regions in Wide-Angle and Forward Scattering

Einan Gardi, Stephen Jones, Yao Ma, Franz Herzog
article en
1 citations

Abstract

We discuss a class of Feynman Integrals containing hidden regions that are not straightforwardly identified using the geometric, or Newton polytope, approach to the method of regions. Using Landau singularity analysis and existing analytic results, we study the appearance of such regions in wide-angle and forward scattering and discuss how they can be exposed in both the momentum and parametric representations. We demonstrate that in the strict on-shell limit such integrals contain Landau singularities that prevent their direct numerical evaluation in parameter space and describe how they can be re-parameterised and dissected to circumvent this problem.

National Science Foundation, UK Research and Innovation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Science and Technology Facilities Council
Climate action
Openalex Percentile: Top 50%
Remote Sensing and LiDAR Applications
0.21
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