Speaker
Description
We present the phase-space integrals that arise in real emission diagrams for semi-inclusive deep-inelastic scattering at higher orders in perturbation theory. Utilizing the reverse unitarity technique, we convert these integrals into loop integrals, allowing us to employ integration-by-parts identities and reduce them to a set of master integrals. The master integrals are then solved by decomposing them into angular and radial components. The angular parts are evaluated using the Mellin-Barnes representation, while special attention is given to the singular structures of the radial integrals to handle them accurately. The results are provided in terms of one-fold integrals over classical polylogarithms. This approach provides a clearer understanding of the origin of soft and collinear singularities.
