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Five-loop massless propagator integrals

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arxiv 1802.00803 v1 pith:GMMD7DKL submitted 2018-02-02 hep-th

Alessandro Georgoudis , Vasco Gonçalves , Erik Panzer , Raul Pereira This is my paper · ORCID
classification hep-th
keywords integralsexpansionsfive-loopmasslessmasterableasymptoticcomputed
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abstract

We develop a method to obtain $\epsilon$-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9.

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Cited by 2 Pith papers

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

  1. Transcendental structure of multiloop massless correlators and anomalous dimensions

    hep-ph 2019-08 conditional novelty 8.0 of 10

    A hatted representation of transcendental constants, fixed from four-loop integrals, predicts the pi-dependent terms in seven- and eight-loop beta functions and anomalous dimensions.

  2. Two-point functions in $4-2\,\varepsilon$ dimensions from localization

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Localization yields all-loop leading-ε results for two-point functions in 4-2ε SYM that agree with flat-space perturbation at O(ε) and motivate a conjecture for the dimension-two operator at O(ε²).

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