Speaker
Mr涌群 徐(中国科学技术大学)
Description
We evaluate thethree-loop five-pointpentagon-box-box massless integral family in the dimensional regularization scheme, via canonical differential equation. We use tools fromcomputational algebraic geometryto enable the necessary integral reductions. The boundary values of the differential equation are determinedanalyticallyin the Euclidean region. To express the final result, we introduce anew representation of weight six functionsin terms of one-fold integrals over the product of weight-three functions with weight-two kernels that are derived from the differential equation.Our work paves the way to the analytic computation of three-loop multi-leg Feynman integrals.
