ИСТИНА

Departing from the standard Feynman parametric representation of multileg Feynman diagrams and using a number of transformations, one can translate these objects into geometrical language involving angles, (hyper-)volumes, etc. The connection of angular and kinematical variables is discussed, as well as the use of analytical continuation to get results valid in other regions of variables. For the dimensionally-regulated integrals, the epsilon-expansion of resulting hypergeometric functions is also described, inlcuding a recursive construction of higher terms and a connection to the multiple polylogarithms.