The integration-by-parts (IBP) reduction is one of the bottleneck steps in the evaluation of multi-loop Feynman integrals. NeatIBP is a program based on the syzygy method for IBP reduction. It generates much smaller IBP systems compared to traditional Laporta's algorithm, which helps reduce the computation cost of IBP reduction. In this talk, I will present the new version of NeatIBP. It is...
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...
The scalar mesons are established for a long time, but their nature is still an open question. In this paper, we investigate the potential of categorizing their $SU(3)_f$ representations via $J/\psi \to SV $and $\gamma S$, offering a criterion that may illuminate this issue. Here, $S (V)$ denotes scalar (vector) mesons. Using the $SU(3)_f$ symmetry with the current data, we find that...
