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Direct reduction of multiloop multiscale scattering amplitudes

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arxiv 1901.09390 v2 pith:JNLE3DOG submitted 2019-01-27 hep-ph

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

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We propose an alternative approach based on series representation to directly reduce multi-loop multi-scale scattering amplitude into set of freely chosen master integrals. And this approach avoid complicated calculations of inverse matrix and dimension shift for tensor reduction calculation. During this procedure we further utilize the Feynman parameterization to calculate the coefficients of series representation and obtain the form factors. Conventional methodologies are used only for scalar vacuum bubble integrals to finalize the result in series representation form. Finally, we elaborate our approach by presenting the reduction of a typical two-loop amplitude for W boson production.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kira 3: integral reduction with efficient seeding and optimized equation selection

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Kira 3 cuts Feynman-integral reduction cost by up to two orders of magnitude using smarter seeding and equation selection.

  2. Reduction of $\epsilon$-expanded Feynman integrals

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A new R-bar operation yields locally finite Feynman integrals in higher dimensions and reduces epsilon-expanded master integrals to a minimal basis, shown on one-, two-, and three-loop examples.

  3. Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A dimension-changing transformation computes one-loop and fixed-branch Feynman integrals to high orders in the dimensional regulator by integrating auxiliary-mass integrals over the mass parameter, implemented in an o...

  4. Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space

    hep-th 2019-08 conditional novelty 6.0 of 10

    The authors build a parallelized Singular and GPI-Space pipeline for integration-by-parts reductions and use it to compute the two-loop nonplanar double-pentagon family analytically up to numerator degree 4.

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