Non-planar elliptic vertex
From MaRDI portal
Publication:2092562
DOI10.1007/JHEP04(2022)045OpenAlexW4225834394MaRDI QIDQ2092562
M. A. Bezuglov, Andrei I. Onishchenko
Publication date: 2 November 2022
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05096
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- The elliptic dilogarithm for the sunset graph
- A geometric method of sector decomposition
- Elliptic Feynman integrals and pure functions
- All orders structure and efficient computation of linearly reducible elliptic Feynman integrals
- Realizations of polylogarithms
- Numerical evaluation of multiple polylogarithms
- Resolution of singularities for multi-loop integrals
- Hypergeometric representation of the two-loop equal mass sunrise diagram
- Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms
- Numerical evaluation of phase space integrals by sector decomposition
- Two-loop sunset diagrams with three massive lines
- Multiple polylogarithms, cyclotomy and modular complexes
- Numerical evaluation of multi-loop integrals by sector decomposition
- Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method
- MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero
- FIESTA4: optimized Feynman integral calculations with GPU support
- An elliptic generalization of multiple polylogarithms
- Solving differential equations for Feynman integrals by expansions near singular points
- Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- From polygons and symbols to polylogarithmic functions
- The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case
- Two-loop diagrams in nonrelativistic QCD with elliptics
- The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\)
- Modular transformations of elliptic Feynman integrals
- Massive kite diagrams with elliptics
- Feynman integrals and iterated integrals on moduli spaces of curves of genus zero
- Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
- Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points
- Elliptic associators
- The two loop crossed ladder vertex diagram with two massive exchanges
- Reducing differential equations for multiloop master integrals
- NEW METHOD OF MASSIVE N-POINT FEYNMAN DIAGRAMS CALCULATION
- 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
- The kite integral to all orders in terms of elliptic polylogarithms
- Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
- Volumes of hyperbolic manifolds and mixed Tate motives
- Connection between Feynman integrals having different values of the space-time dimension
- HARMONIC POLYLOGARITHMS
- Functional relations for elliptic polylogarithms
- The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
- SECTOR DECOMPOSITION
- An automatized algorithm to compute infrared divergent multi-loop integrals.
- The massless higher-loop two-point function
- \texttt{Libra}: a package for transformation of differential systems for multiloop integrals
- Numerical evaluation of iterated integrals related to elliptic Feynman integrals
This page was built for publication: Non-planar elliptic vertex