Theory challenges for LHC physics

Reducing differential equations for multiloop integrals to epsilon form

24 Jul 2015, 15:00

30m

Conference Hall (BLTP JINR)

CALC2015 Workshop

Speaker

Roman Lee (Budker Institute of Nuclear Physics)

Description

Recently a remarkable observation was made concerning differential equation system for multiloop integrals. It appeared that in many cases by the proper choice of functions the differential system can be represented in the form where the dependence on regularization parameter is reduced to an overall factor $ϵ$ in the right-hand side. Such a representation makes finding general solution of the system almost trivial. We present a systematic algorithm to find the $ϵ$-form.