Leading singularities in Baikov representation and Feynman integrals with uniform transcendental weight
From MaRDI portal
Publication:1981573
DOI10.1007/JHEP07(2021)227zbMath1468.81050arXiv2103.04638OpenAlexW3202355393WikidataQ114233328 ScholiaQ114233328MaRDI QIDQ1981573
Yang Zhang, Christoph Dlapa, Xiaodi Li
Publication date: 3 September 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.04638
Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) (S)-matrix theory, etc. in quantum theory (81U20)
Related Items (10)
Cutting the traintracks: Cauchy, Schubert and Calabi-Yau ⋮ A study of Feynman integrals with uniform transcendental weights and their symbology ⋮ Evaluating master integrals in non-factorizable corrections to \(t\)-channel single-top production at NNLO QCD ⋮ On symbology and differential equations of Feynman integrals from Schubert analysis ⋮ One-loop hexagon integral to higher orders in the dimensional regulator ⋮ Two-loop master integrals for a planar topology contributing to \(pp\rightarrow t\bar{t}j\) ⋮ A first look at the function space for planar two-loop six-particle Feynman integrals ⋮ On epsilon factorized differential equations for elliptic Feynman integrals ⋮ Maximal transcendental weight contribution of scattering amplitudes ⋮ Baikov representations, intersection theory, and canonical Feynman integrals
Uses Software
Cites Work
- Magnus and Dyson series for master integrals
- A practical criterion of irreducibility of multi-loop Feynman integrals
- Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)
- Transforming differential equations of multi-loop Feynman integrals into canonical form
- Analytic tools for Feynman integrals
- Proof of the Bogoliubov-Parasiuk theorem on renormalization
- Cuts of Feynman integrals in Baikov representation
- Feynman integrals and intersection theory
- Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form
- \texttt{epsilon}: a tool to find a canonical basis of master integrals
- Decomposition of Feynman integrals by multivariate intersection numbers
- \textsc{Azurite}: an algebraic geometry based package for finding bases of loop integrals
- Constructing canonical Feynman integrals with intersection theory
- Decomposition of Feynman integrals on the maximal cut by intersection numbers
- Rationalizing roots: an algorithmic approach
- Reducing differential equations for multiloop master integrals
- A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
- FIRE6: Feynman integral reduction with modular arithmetic
- HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
- Lectures on differential equations for Feynman integrals
- SECTOR DECOMPOSITION
- RationalizeRoots: software package for the rationalization of square roots
- Algorithmic transformation of multi-loop master integrals to a canonical basis with \textit{CANONICA}
- pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
- Integral reduction with Kira 2.0 and finite field methods
This page was built for publication: Leading singularities in Baikov representation and Feynman integrals with uniform transcendental weight
