Periods and Feynman integrals
From MaRDI portal
Publication:3650497
DOI10.1063/1.3106041zbMath1214.81096arXiv0711.4863OpenAlexW3106075894MaRDI QIDQ3650497
Stefan Weinzierl, Christian Bogner
Publication date: 14 December 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.4863
Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)
Related Items
Hyperlogarithms and Periods in Feynman Amplitudes, From multiple unitarity cuts to the coproduct of Feynman integrals, Renormalised multiple integrals of symbols with linear constraints, Zeta functions and oscillatory integrals for meromorphic functions, On soft singularities at three loops and beyond, Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral, MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero, The multiple zeta value data mine, From positive geometries to a coaction on hypergeometric functions, Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives, Graph polynomials associated with Dyson-Schwinger equations, Collider physics at the precision frontier, Elliptic Feynman integrals and pure functions, Perturbative Quantum Field Theory Meets Number Theory, Periods and Superstring Amplitudes, Renormalization and Periods in Perturbative Algebraic Quantum Field Theory, Meromorphic continuation of Koba-Nielsen string amplitudes, Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions, FEYNMAN GRAPH POLYNOMIALS, An introduction to motivic Feynman integrals, THE QCD COUPLING AND PARTON DISTRIBUTIONS AT HIGH PRECISION, Analytic structure of all loop banana integrals, Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations, MOTIVIC DYSON–SCHWINGER EQUATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical evaluation of multiple polylogarithms
- Resolution of singularities for multi-loop integrals
- Proof of the Bogoliubov-Parasiuk theorem on renormalization
- Algebraic relations between harmonic sums and associated quantities.
- On motives associated to graph polynomials
- Multiple polylogarithms, cyclotomy and modular complexes
- The massless two-loop two-point function
- Functional equations for higher logarithms
- Numerical evaluation of multi-loop integrals by sector decomposition
- Shuffle algebra and polylogarithms
- Analytic continuation of massless two-loop four-point functions
- Numerical evaluation of two-dimensional harmonic polylogarithms
- High-precision \(\epsilon\)-expansions of massive four-loop vacuum bubbles
- Double shuffles of multiple polylogarithms at roots of unity
- Galois symmetries of fundamental groupoids and noncommutative geometry
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Polylogarithms, regulators, and Arakelov motivic complexes
- Laurent series expansion of a class of massive scalar one-loop integrals up to O(ε2) in terms of multiple polylogarithms
- Connection between Feynman integrals having different values of the space-time dimension
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- HARMONIC POLYLOGARITHMS
- Special values of multiple polylogarithms
- Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
- Expansion around half-integer values, binomial sums, and inverse binomial sums
- An automatized algorithm to compute infrared divergent multi-loop integrals.
- Numerical evaluation of harmonic polylogarithms
- The massless higher-loop two-point function