Optimizing the Mellin-Barnes Approach to Numerical Multiloop Calculations
Ievgen Dubovyk, Janusz Gluza, Tord Riemann
TL;DR
This paper discusses the use of quasi-Monte Carlo methods to improve the numerical evaluation of Mellin-Barnes integrals, which are important for multiloop calculations in quantum field theory.
Contribution
It introduces an optimized approach combining Mellin-Barnes integrals with quasi-Monte Carlo techniques for more efficient multiloop calculations.
Findings
Enhanced efficiency of numerical Mellin-Barnes integral evaluations
Successful application of QMC to high-dimensional integrals
Potential for faster multiloop computations
Abstract
The status of numerical evaluations of Mellin-Barnes integrals is discussed, in particular, the application of the quasi-Monte Carlo integration package QMC to the efficient calculation of multi-dimensional integrals.
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