General results on asymptotic expansions of Feynman diagrams in momenta and/or masses are reviewed. It is shown how they are applied for calculation of massive diagrams. Talk given at the workshop “Advances in non-perturbative and perturbative techniques”, Ringberg Castle, November 13–19, 1994. Permanent address: Nuclear Physics Institute of Moscow State University, Moscow 119899, Russia; E-mai...

The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention devoted to existing techniques for the construction of ?-expansion. As an example, we present a detailed discussion ?-expansion Appell function F3 around rational values parameters via iterative solution differential equations. by-product, have found that one-loop massless pentagon diagram in ...

We give a formal extension of Ramanujan's master theorem using operational methods. The resulting identity transforms the computation an integral product on half-line to Laplace transform. Since is purely formal, we show consistency this approach with various standard calculus results, followed by several examples, including Feynman diagram evaluation, illustrate power extension. then briefly d...

I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds massless chiral fermion its core when winding is one. show that such can host one or more fermions regulated on lattice. To realize these introduce Wilson-like terms similar Wilson term used lattice domain wall fermions. The number of jumps as parameter varied with respect other mass scales problem....

We consider a Gaussian rotationally invariant ensemble of random real totally symmetric tensors with independent normally distributed entries, and estimate the largest eigenvalue typical tensor in this by examining rate growth initial vector under successive applications nonlinear map defined tensor. In limit large number dimensions, we observe that simple form melonic dominance holds, quantity...

New developments concerning the extension of the Feynman diagram analyzer DIANA are presented. We discuss new graphics facilities, different approaches to automation of momenta distribution and parallel processing facilities. Furthermore applications to t ¯ t production and Bhabha scattering are shortly discussed. The project called DIANA (DIagram ANA-lyzer)[1] for the evaluation of Feynman dia...

Perturbative nonlinear optical spectroscopies are powerful methods to understand the dynamics of excitonic and other condensed phase systems. Feynman diagrams have long provided essential tool interpret experimental spectra organize calculation for model When pulses strictly time ordered, only a small number contribute, but in many experiments pulse-overlap effects important interpreting result...

How can electrons tunneling through a superconductor--normal metal--superconductor junction create an anomalous Josephson effect? The authors posed this question to Dall-E 2, new open source artificial intelligence (AI) system, and got image result depicting quantum process. Remarkably AI art matches almost verbatim the actual Feynman diagram that captures physics of phenomenon. In work, calcul...

A bstract We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results a non-planar class of integrals. The are expressed in terms generalised polylogarithms up transcendental weight six. also provide the full canonical differential equations, which allows us make structural observations on answer. In particular, we find counter...

We present a review of the Bielefeld-Dubna activities on multiloop calculations. In the first contribution of the above authors in these proceedings, we have introduced our system for the automation of evaluation of Feynman diagrams, called DIANA (DIagram ANAlyser). In this contribution methods for the evaluation of scalar two-loop integrals will be discussed. 1 Expansion of three-point functio...