CORE 3.2 (COmpendium of RElations, Version 3.2)

TL;DR

This paper provides a comprehensive collection of formulas, relations, and computational methods essential for practical calculations within the Standard Model of particle physics, including matrix elements, Lagrangian, and Feynman rules.

Contribution

It compiles detailed formulas, properties, and computational techniques for the Standard Model, including Feynman rules and loop integral evaluations, serving as a practical reference.

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 3.2 (COmpendium of RElations, Version 3.2) 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.