REVIEW 7 cited by
Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
In this paper we exploit factorisation properties of Picard-Fuchs operators to decouple differential equations for multi-scale Feynman integrals. The algorithm reduces the differential equations to blocks of the size of the order of the irreducible factors of the Picard-Fuchs operator. As a side product, our method can be used to easily convert the differential equations for Feynman integrals which evaluate to multiple polylogarithms to $\varepsilon$-form.
Forward citations
Cited by 7 Pith papers
-
The spectrum of Feynman-integral geometries at two loops
Two-loop Feynman integrals involve Riemann spheres, elliptic curves, hyperelliptic curves of genus 2 and 3, K3 surfaces, and a rationalizable Del Pezzo surface of degree 2.
-
Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills
A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.
-
Differential Equations for Energy Correlators in Any Angle
A first systematic differential equation framework for any-angle energy correlators in N=4 SYM, with four-point master integrals that include non-polylogarithmic elliptic and hyperelliptic sectors.
-
Tame multi-leg Feynman integrals beyond one loop
A 'branch' reformulation of Feynman integrals claims to reduce multi-loop integrals to one-loop-like low-dimensional integrals, but the advertised parameter bound is wrong and the numerical validation is not shown.
-
Calabi-Yau Feynman integrals in gravity: $\varepsilon$-factorized form for apparent singularities
An extended ansatz for canonical differential equations handles epsilon-dependent apparent singularities and yields an epsilon-factorized form for the four-loop Calabi-Yau Feynman integral relevant to 5PM black-hole s...
-
First look at the evaluation of two-loop Feynman integrals for radiative return processes
Planar two-loop four-point master integrals for massive radiative-return QED, including elliptic and nested-root sectors, are reduced to polynomial-in-ε differential equations that evaluate stably in the physical region.
-
Electroweak double-box integrals for Moller scattering
Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.
Discussion (0). Continue with ORCID to comment.