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/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Following our previous study of the recursive structure of Baikovrepresentations, we discuss its application in the integration-by-partsreduction of Feynman integrals. We combine the top-down reduction approach withthe recursive structure, which can greatly simplify the calculation for eachsector in many cases. We introduce a new concept called the top-sector ISPreduction, which generalizes the maximal-cut reduction by retaining thesub-sector information. After subtracting the top-sector components, we providea general method to transform the remaining integrand explicitly tosub-sectors, such that the reduction procedure can be carried out recursively.In this work, we use the intersection theory to demonstrate our method,although it can be applied to any implementation of the integration-by-partsreduction.

The recursive structure of Baikov representations II: the top-down reduction with intersection theory