A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
read the original abstract
The purely numerical evaluation of multi-loop integrals and amplitudes can be a viable alternative to analytic approaches, in particular in the presence of several mass scales, provided sufficient accuracy can be achieved in an acceptable amount of time. For many multi-loop integrals, the fraction of time required to perform the numerical integration is significant and it is therefore beneficial to have efficient and well-implemented numerical integration methods. With this goal in mind, we present a new stand-alone integrator based on the use of (quasi-Monte Carlo) rank-1 shifted lattice rules. For integrals with high variance we also implement a variance reduction algorithm based on fitting a smooth function to the inverse cumulative distribution function of the integrand dimension-by-dimension. Additionally, the new integrator is interfaced to pySecDec to allow the straightforward evaluation of multi-loop integrals and dimensionally regulated parameter integrals. In order to make use of recent advances in parallel computing hardware, our integrator can be used both on CPUs and CUDA compatible GPUs where available.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Emergence of Calabi-Yau manifolds in high-precision black hole scattering
At 5PM-1SF order, Calabi-Yau three-fold periods emerge in radiation-reacted observables for classical black hole scattering computed with worldline QFT and advanced IBP/DE methods.
-
$B_c \to \eta_c$ form factors at large recoil: SCET analysis and a three-loop consistency check
SCET factorization confirms the double-logarithmic resummation for B_c to eta_c form factors up to three loops and derives the iterative structure from RG equations of light-cone distribution amplitudes with cutoff re...
-
An NLO-Matched Initial and Final State Parton Shower on a GPU
GAPS v2 is a GPU-accelerated parton shower for initial and final state emissions with NLO matching that achieves speed and energy performance on par with a 96-core CPU cluster for NLO Z production at the LHC.
-
An NLO-Matched Initial and Final State Parton Shower on a GPU
GPU port of an NLO-matched parton shower achieves performance parity with a 96-core CPU cluster for LHC Z production simulations.
-
Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
The report reviews progress since 2021 in fixed-order computations for LHC applications and identifies processes requiring missing higher-order corrections to match anticipated experimental precision.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.