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FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS (Q3504107)

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Language	Label	Description	Also known as
English	FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS	scientific article

Statements

scholarly article

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FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS (English)

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zbMATH Open document ID

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10.1142/S0217751X07037147

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Pierpaolo Mastrolia

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International Journal of Modern Physics A

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publication date

11 June 2008

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full work available at URL

https://arxiv.org/abs/0707.4037

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Feynman integrals

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differential equations

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MaRDI profile type

MaRDI publication profile

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Differential equations for two-loop four-point functions.

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Numerical evaluation of master integrals from differential equations

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Analytic evaluation of Feynman graph integrals

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Numerical evaluation of the general massive 2-loop 4-denominator self-mass master integral from differential equations

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Connection between Feynman integrals having different values of the space-time dimension

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ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model

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Evaluating double and triple (?) boxes

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Two-loop tensor integrals in quantum field theory

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Differential equations and high-energy expansion of two-loop diagrams in \(d\) dimensions

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Two-loop sunset diagrams with three massive lines

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Hypergeometric representation of the two-loop equal mass sunrise diagram

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Analytical result for dimensionally regularized massless master non-planar double box with one-leg off shell

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QCD at high energy

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Non-planar massless two-loop Feynman diagrams with four on-shell legs

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Analytic continuation of massless two-loop four-point functions

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An approach toward the numerical evaluation of multi-loop Feynman diagrams

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Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies

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Two-loop vertices in quantum field theory: infrared convergent scalar configurations

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Two-loop vertices in quantum field theory: infrared and collinear divergent configurations

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High-precision \(\epsilon\)-expansions of massive four-loop vacuum bubbles

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All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams

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One-loop<i>n</i>-point equivalence among negative-dimensional, Mellin–Barnes and Feynman parametrization approaches to Feynman integrals

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An automatized algorithm to compute infrared divergent multi-loop integrals.

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Numerical evaluation of multi-loop integrals by sector decomposition

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Reduction method for dimensionally regulated one-loop \(N\)-point Feynman integrals

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LECTURES ON MULTILOOP CALCULATIONS

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Evaluating Feynman integrals.

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Vertex diagrams for the QED form factors at the 2-loop level

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Two-loop QCD corrections to the heavy quark form factors: the vector contributions

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Two-loop QCD corrections to the heavy quark form factors: axial vector contributions

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DGLAP and BFKL equations in the \(N=4\) supersymmetric gauge theory

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Master integrals with one massive propagator for the two-loop electroweak form factor

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Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor-planar case

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Analytical result for dimensionally regularized massive on-shell planar double box

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Magnetic dipole operator contributions to the photon energy spectrum in \(\bar B \to X_s\gamma\) at \(O(\alpha_s^2)\)

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\(\overline{MS}\) vs. pole masses of gauge bosons. II: Two-loop electroweak fermion corrections

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HARMONIC POLYLOGARITHMS

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Numerical evaluation of harmonic polylogarithms

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Numerical evaluation of two-dimensional harmonic polylogarithms

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HPL, a Mathematica implementation of the harmonic polylogarithms

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Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

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Symbolic expansion of transcendental functions

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TSIL: a program for the calculation of two-loop self-energy integrals

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The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass

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The analytic value of a 4-loop sunrise graph in a particular kinematical configuration

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Analytic treatment of the two loop equal mass sunrise graph

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Assessing the multivariate normal approximation of the maximum likelihood estimator from high-dimensional, heterogeneous data

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A practical criterion of irreducibility of multi-loop Feynman integrals

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Massive Feynman diagrams and inverse binomial sums

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New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

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Hypergeometric Structure of the Generalized Veneziano Amplitudes

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Holonomic systems of linear differential equations and Feynman integrals

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Holonomic character and local monodromy structure of Feynman integrals

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A study of Feynman integrals by micro-differential equations

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Micro-analyticity of the S-matrix and related functions

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Reduction of an Integral in the Theory of Bremsstrahlung

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On a conjecture of Regge and Sato on Feynman integrals

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Extended Landau variety and the singularity spectrum of position-space Feynman amplitudes

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Infrared catastrophe in a massless Feynman function

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Mathematics(1 entry)

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