The Dqags algorithm in Quadpack combines the adaptive control with an extrapolation strategy, which has been shown particularly effective for classes of functions with algebraic and/or logarithmic singularities at the endpoints of the integration interval [a, b], such as, f(x) = (x − a)α log (x − a) h(x), where h(x) is ...
Feynman loop integrals computed by numerical integration and extrapolation. ▻ One-loop vertex, box, pentagon and two-loop ladder Feynman diagrams.
The paper addresses a numerical computation of Feynman loop integrals, which are computed by an extrapolation to the limit as a parameter in the integrand ...
Examples of global adaptive integrators are the 1D adaptive programs of Quadpack [2], and the multivariate Dcuhre [3] for integration over an (N-dimensional) ...
In this paper, we describe a numerical approach to evaluate Feynman loop integrals. In this approach the key technique is a combination of a numerical ...
Mar 28, 2024 · We compute three families of two–loop six–point massless Feynman integrals in dimensional regularization, namely the double–box, the pentagon– ...
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Use formula (14) ( or (23) ) to perform the integration over the loop momentum. 4. Integrate over the Feynman parameters. By using algebraic reduction one can ...
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Nov 18, 2022 · Acceleration of Feynman loop integrals in high-energy physics on many core GPUs. #1. F. Yuasa ; Quadpack computation of Feynman loop integrals. # ...
In this paper we will devise and apply a strategy for loop integral computations by combining these methods as needed for a set of Feynman diagrams. In view of ...
In the realm of particle physics, loop Feynman integrals are mathematical expressions that capture quantum fluctuations arising from virtual particle ...
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