CORE 3.2 (COmpendium of RElations, Version 3.2)
V.I. Borodulin (1), R.N. Rogalyov (2), S.R. Slabospitskii (2) ((1), Private educational institution of higer education, Aylamazyan University of, Pereslavl, Russia, (2) Institute for High Energy Physics, NRC "Kurchatov, Institute, Russia)

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.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Superconducting Materials and Applications
