CORE 2.1 (COmpendium of RElations, Version 2.1)

TL;DR

This paper provides a comprehensive compendium of formulas, relations, and computational methods used in the Standard Model, including matrix properties, Lagrangian, Feynman rules, and loop integral evaluations.

Contribution

It offers a detailed collection of formulas and methods for practical calculations in the Standard Model, including gauge theories and loop integrals.

Findings

Full Lagrangian and Feynman rules presented

Methods for evaluating loop integrals discussed

Extensive matrix elements for Standard Model processes included

Abstract

The present CORE 2.1 (COmpendium of RElations, Version 2.1) contains various formulas and relations used in the practical calculations in the Standard Model. The properties of the Pauli, Dirac, Gell--Mann matrices, wave functions of free fermions and gauge bosons are considered. 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.