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Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

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arxiv 0807.4129 v1 pith:VYDB4HGA submitted 2008-07-25 hep-ph

classification hep-ph
keywords decompositionsectoralgorithmintegralprogramafterwardsalgorithmsapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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Up to the moment there are two known algorithms of sector decomposition: an original private algorithm of Binoth and Heinrich and an algorithm made public lastyear by Bogner and Weinzierl. We present a new program performing the sector decomposition and integrating the expression afterwards. The program takes a set of propagators and a set of indices as input and returns the epsilon-expansion of the corresponding integral.

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Cited by 3 Pith papers

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  1. Walking Sudakov: From Cusp to Octagon

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    In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates betwee...

  2. Positive Integrands from Feynman Integrals in the Minkowski Regime

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    A method for converting Minkowski-regime Feynman parameter integrals into sums of real, positive integrands with complex prefactors, eliminating contour deformation and speeding up numerical evaluation.

  3. Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling

    hep-th 2025-07 conditional novelty 6.0 of 10

    Multi-point lattice reduction on high-precision numerical samples can recover exact analytic expressions for multi-loop Feynman integrals with rational coefficients.

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