Basic formalism

2012 ◽  
pp. 1-23
Author(s):  
Bipin R. Desai
Keyword(s):  
Basic Formalism

scholarly journals Review of accelerator-based searches for Neutral Long-Lived Particles

2019 ◽  
Vol 43 (169) ◽  
pp. 638-645
Author(s):  
Marta Losada
Keyword(s):  
Parameter Space ◽  
Coupling Strength ◽  
Current Status ◽  
Next Generation ◽  
Fixed Target ◽  
Beam Dump ◽  
Basic Formalism ◽  
Neutral Lepton

In this paper we present the current status of searches for neutral long-lived particles. The basic formalism that allows the determination of the number of expected long-lived particles is presented. Heavy neutral leptons can be a type of long-lived particles. The main observational motivations for the existence of heavy neutral lepton is covered as well. A summary of the main results from both collider searches and fixed target/beam dump experiments is presented. The outlook for next generation experiments and their impact on the parameter space of coupling strength and mass of heavy neutral leptons is also discussed.

scholarly journals Feynman rules for Weyl spinors with mixed Dirac and Majorana mass terms

2016 ◽  
Vol 56 (3) ◽  
pp. 149-163
Author(s):  
Vytautas Dūdėnas ◽  
Thomas Gajdosik
Keyword(s):  
Path Integral ◽  
Tree Level ◽  
Fermion Propagator ◽  
Weyl Spinor ◽  
Majorana Mass ◽  
Basic Formalism ◽  
Feynman Rules ◽  
Mass Terms ◽  
Level Analysis

We present a basic formalism for using the Weyl spinor notation in Feynman rules. We focus on Weyl spinors with mixed Dirac and Majorana mass terms. To clarify the definitions we derive the Feynman rules from the path integral and present two examples: loop corrections for a fermion propagator and a tree level analysis of a seesaw toy model.

Space-group operations and time-reversal for a Dirac electron in a crystal field

1958 ◽  
Vol 243 (1235) ◽  
pp. 546-554 ◽  
Keyword(s):  
Dirac Equation ◽  
Crystal Field ◽  
Time Reversal ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Band Theory ◽  
Space Group ◽  
Basic Formalism ◽  
Dirac Electron

It is shown in the first part how the basic formalism of the theory of spin-orbit coupling in the band theory of crystals can be deduced at once from the Dirac equation without the usual ambiguities over improper rotations associated with the formalism based on the Pauli-Schrödinger equation. In the second part it is shown that the original proofs of the time-reversal theorems given by Wigner are unnecessarily complicated.

Vacuum corrections to QCD charmonium sum rules: Basic formalism and O(G3) results

1983 ◽  
Vol 213 (2) ◽  
pp. 285-304 ◽  
Author(s):  
S.N. Nikolaev ◽  
A.V. Radyushkin
Keyword(s):  
Sum Rules ◽  
Basic Formalism
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