Algorithms and tools for iterated Eisenstein integrals
From MaRDI portal
Publication:2188614
DOI10.1007/JHEP02(2020)105zbMath1435.81077arXiv1912.00077OpenAlexW3007334060MaRDI QIDQ2188614
Publication date: 11 June 2020
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00077
Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)
Related Items (15)
Towards closed strings as single-valued open strings at genus one ⋮ An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals ⋮ On a procedure to derive \(\epsilon\)-factorised differential equations beyond polylogarithms ⋮ \(\varepsilon\)-factorized differential equations for two-loop non-planar triangle Feynman integrals with elliptic curves ⋮ Three-loop contributions to the \(\rho\) parameter and iterated integrals of modular forms ⋮ Loop-by-loop differential equations for dual (elliptic) Feynman integrals ⋮ An infinite family of elliptic ladder integrals ⋮ Cutting the traintracks: Cauchy, Schubert and Calabi-Yau ⋮ Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ⋮ Symbology for elliptic multiple polylogarithms and the symbol prime ⋮ Collider physics at the precision frontier ⋮ Sunrise integrals with two internal masses and pseudo-threshold kinematics in terms of elliptic polylogarithms ⋮ Meromorphic modular forms and the three-loop equal-mass banana integral ⋮ A Feynman integral depending on two elliptic curves ⋮ Hypergeometric Functions and Feynman Diagrams
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
- The elliptic dilogarithm for the sunset graph
- On the maximal cut of Feynman integrals and the solution of their differential equations
- SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop
- CHAPLIN -- complex harmonic polylogarithms in Fortran
- BOKASUN: A fast and precise numerical program to calculate the master integrals of the two-loop sunrise diagrams
- Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)
- Elliptic Feynman integrals and pure functions
- From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
- Numerical evaluation of multiple polylogarithms
- Analytic treatment of the two loop equal mass sunrise graph
- Two-loop sunset diagrams with three massive lines
- Numerical evaluation of two-dimensional harmonic polylogarithms
- On the reduction of generalized polylogarithms to \(\mathrm{Li}_n\) and \(\mathrm{Li}_{2,2}\) and on the evaluation thereof
- Feynman integrals and iterated integrals of modular forms
- Local mirror symmetry and the sunset Feynman integral
- Local integrals for planar scattering amplitudes
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- From polygons and symbols to polylogarithmic functions
- The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\)
- Galois symmetries of fundamental groupoids and noncommutative geometry
- A second-order differential equation for the two-loop sunrise graph with arbitrary masses
- Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
- Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
- Schouten identities for Feynman graph amplitudes: The Master Integrals for the two-loop massive sunrise graph
- Elliptic multiple zeta values and one-loop superstring amplitudes
- Numerical implementation of harmonic polylogarithms to weight w = 8
- A Feynman integral via higher normal functions
- The iterated structure of the all-order result for the two-loop sunrise integral
- The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
- Elliptic Modular Forms and Their Applications
- Relations between elliptic multiple zeta values and a special derivation algebra
- Fourth order spectral functions for the electron propagator
- Volumes of hyperbolic manifolds and mixed Tate motives
- Connection between Feynman integrals having different values of the space-time dimension
- HARMONIC POLYLOGARITHMS
- TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS
- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
- The two-loop sunrise graph with arbitrary masses
- Iterated integrals of modular forms and noncommutative modular symbols
- The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
- Iterated path integrals and generalized paths
- Numerical evaluation of harmonic polylogarithms
- pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
This page was built for publication: Algorithms and tools for iterated Eisenstein integrals
