Rationalizing roots: an algorithmic approach
From MaRDI portal
Publication:2418752
DOI10.4310/CNTP.2019.v13.n2.a1zbMath1414.81116arXiv1809.10983OpenAlexW2892769389WikidataQ127996715 ScholiaQ127996715MaRDI QIDQ2418752
Stefan Weinzierl, Marco Besier, Duco van Straten
Publication date: 28 May 2019
Published in: Communications in Number Theory and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.10983
Nuclear physics (81V35) Computational aspects of algebraic surfaces (14Q10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Polylogarithms and relations with (K)-theory (11G55)
Related Items
Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space, RationalizeRoots: software package for the rationalization of square roots, Rooting out letters: octagonal symbol alphabets and algebraic number theory, Conformally-regulated direct integration of the two-loop heptagon remainder, The two-loop five-point amplitude in $ \mathcal{N}=8$ supergravity, Manifestly dual-conformal loop integration, The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\), \texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms, Master integrals for \(\mathcal{O}(\alpha\alpha_s)\) corrections to \(H\rightarrow ZZ^\ast\), Towards analytic structure of Feynman parameter integrals with rational curves, Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and \(W\)-bosons, Numerical evaluation of iterated integrals related to elliptic Feynman integrals, DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions, The inverse Mellin transform via analytic continuation, The unequal mass sunrise integral expressed through iterated integrals on \(\overline{\mathcal{M}}_{1,3}\), The \(O(\alpha^2)\) initial state QED corrections to \(e^+ e^- \to \gamma^\ast / Z_0^\ast \), Modular transformations of elliptic Feynman integrals, The H-graph with equal masses in terms of multiple polylogarithms, Leading singularities in Baikov representation and Feynman integrals with uniform transcendental weight, Sunrise integrals with two internal masses and pseudo-threshold kinematics in terms of elliptic polylogarithms, Rationalizability of square roots, Large Scale Analytic Calculations in Quantum Field Theories, Baikov representations, intersection theory, and canonical Feynman integrals, A Feynman integral depending on two elliptic curves, Analytic Integration Methods in Quantum Field Theory: An Introduction, Direct Integration for Multi-Leg Amplitudes: Tips, Tricks, and When They Fail, Hypergeometric Functions and Feynman Diagrams, Nested Integrals and Rationalizing Transformations, The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals, The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond