Borodulin V.I., Rogalyov R.N., Slabospitsky S.R. CORE COmpendium of RElations v2.1

Protvino: Institute for High Energy Physics, 1995. — 114 p.The present CORE 2.1 (COmpendium of RElations) contains various formulas and relations used in the practical calculations in the Standard Model.
The properties of the Pauli, Dirac, and Gell-Mann matrices, widely used in calculations in the Standard Model, are considered in details. Properties of the wave functions of free fermions and gauge bosons are also discussed.
We present the full Lagrangian of the Standard Model and the corresponding Feynman rules. The method of the evaluation of the Feynman (loop) integrals and calculations in non-covariant gauges is considered.
We discuss in brief the relativistic kinematic and present a large number of the matrix elements of the various processes in the Standard Model.
Almost all of the presented relations and formulas can be found in literature. However, one can nd different defi nitions, different normalizations, not widely used notations, etc. We try to collect various expressions in one place and make the notations and normalizations consistent.
We hope that the present will be useful for practical calculations in the Standard Model, especially for post-graduates and young physicists