English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

We apply multivariate adaptive integration to problems arising from self-energy Feynman loop diagrams with massless internal lines. Results are obtained with the PARINT software package, which is layered over MPI (Message Passing Interface) and incorporates advanced parallel computation techniques such as load balancing among processes that may be distributed over a network of nodes. To solve theproblems numerically we introduce a parameter ℓ in a factor of the integrand function. Some problem categories allow setting ℓ=0; other cases require an extrapolation as ℓ → 0. Furthermore we apply extrapolation with respect to the dimensional regularization parameter by setting the dimension n=4–2ɛ and extrapolating as ɛ →0. Timing results with ParInt show near optimal parallel speedups for the problems at hand

Adaptive Integration for 3-loop Feynman Diagrams with Massless Propagators