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HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
We describe a new method of calculation of generic multiloop master integrals based on the numerical solution of systems of difference equations in one variable. We show algorithms for theExpand
ANALYTICAL EXPRESSIONS OF THREE- AND FOUR-LOOP SUNRISE FEYNMAN INTEGRALS AND FOUR-DIMENSIONAL LATTICE INTEGRALS
In this paper we continue the work began in 2002 on the identification of the analytical expressions of Feynman integrals which require the evaluation of multiple elliptic integrals. We rewrite andExpand
High-precision calculation of the 4-loop contribution to the electron g-2 in QED
Abstract I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron g -2 in QED. The total mass-independent 4-loop contributionExpand
Analytic treatment of the two loop equal mass sunrise graph
Abstract The two loop equal mass sunrise graph is considered in the continuous d -dimensional regularisation for arbitrary values of the momentum transfer. After recalling the equivalence of theExpand
The analytical value of the electron (g − 2) at order α3 in QED
Abstract We have evaluated in closed analytical form the contribution of the three-loop non-planar “triple-cross” diagrams contributing to the electron (g−2) in QED; its value, omitting the alreadyExpand
Master integrals for the NNLO virtual corrections to μe scattering in QED: the non-planar graphs
A bstractWe evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt theExpand
Calculation of Feynman integrals by difference equations
In this paper we describe a method of calculation of master integrals based on the solution of systems of difference equations in one variable. Various explicit examples are given, as well as theExpand
High-precision ϵ-expansions of massive four-loop vacuum bubbles
Abstract In this Letter we calculate at high-precision the expansions in ϵ =(4− D )/2 of the master integrals of 4-loop vacuum bubble diagrams with equal masses, using a method based on the solutionExpand
Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
We review the current status of the theory predictions for elastic $\mu$-$e$ scattering, describing the recent activities and future plans of the theory initiative related to the proposed MUonEExpand
The analytical value of the electron light-light graphs contribution to the muon ( g-2) in QED
Abstract The contribution to the ( g −2) of a lepton of mass M from the light-light graphs with a loop lepton of mass m is evaluated analytically in sixth order QED perturbation theory for arbitraryExpand
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