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Revealing Hidden Regions in Wide-Angle and Forward Scattering

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arxiv 2407.17158 v1 pith:NYWIL6E3 submitted 2024-07-24 hep-th hep-ph

classification hep-thhep-ph
keywords regionsdiscussforwardhiddenintegralslandauscatteringthey
verification ladder T0 review T1 audit T2 compute T3 formal
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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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