Feynman integrals, elliptic integrals and two-parameter K3 surfaces
Sign Up to like & getrecommendations! Published in 2025 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2025)250
Abstract: The three-loop banana integral with three equal masses and the conformal two-loop five-point traintrack integral in two dimensions are related to a two-parameter family of K3 surfaces. We compute the corresponding periods and the mirror… read more here.
Keywords: two parameter; integrals elliptic; integrals two; feynman integrals ... See more keywords
Master integrals for two-loop QCD corrections to quark quasi PDFs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2020)079
Abstract: We compute the master integrals for the two-loop QCD corrections to quark quasi parton distribution functions (PDFs) in the large momentum effective theory (LaMET). With a proper canonical basis, we derive the analytical results for… read more here.
Keywords: master integrals; two loop; pdfs; integrals two ... See more keywords
Yangian-Invariant Fishnet Integrals in Two Dimensions as Volumes of Calabi-Yau Varieties.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.041602
Abstract: We argue that ℓ-loop Yangian-invariant fishnet integrals in two dimensions are connected to a family of Calabi-Yau ℓ folds. The value of the integral can be computed from the periods of the Calabi-Yau, while the… read more here.
Keywords: yangian invariant; fishnet integrals; calabi yau; integrals two ... See more keywords