REVIEW 4 cited by
The Loop-by-Loop Baikov Representation -- Strategies and Implementation
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
read the original abstract
In this paper, we discuss the Baikov representation of Feynman integrals in its standard and loop-by-loop variants. The Baikov representation is a parametric representation, which has as its defining feature the fact that the integration variables are the propagators of the Feynman integral. For the loop-by-loop Baikov representation, we discuss in detail a strategy for how to make an optimal parametrization which is one that minimizes the number of extra integration variables that have to be introduced for a given Feynman integral. Furthermore, we present a Mathematica implementation, named BaikovPackage, that is able to generate the Baikov representation in its standard and loop-by-loop varieties. We also discuss some subtleties and open problems regarding Baikov representations.
Forward citations
Cited by 4 Pith papers
-
Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
-
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.
-
Constitutive modeling of viscoelastic solids at large strains based on the theory of evolving natural configurations
The paper derives finite-strain Maxwell, Kelvin-Voigt, Zener, and Poynting-Thompson viscoelastic models from evolving natural configurations, with numerical algorithms and an experimental benchmark for the Poynting-Th...
Discussion (0). Continue with ORCID to comment.