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C\'alculo de la integral escalar a un lazo $A(m^2)$ mediante el teorema del residuo

Authors :
García-Aguilar, J. D.
Gómez-Izquierdo, J. C.
Source :
This versi\'on will be published in RMF E (2021)
Publication Year :
2020

Abstract

Radiative corrections in the phenomenology of particle physics lead to great predictions on the observables of the Standard Model (SM) which are in good agreement with different measurements on Particle Accelerators and Detectors and in the case of numeric predictions on Quantum Chromodynamics (QCD) and its study in the lattice for the low energy regime. This is a pedagogical paper in which we calculate the one loop scalar integral $A(m^2)$, that arises in the simplest radiative correction calculation, by means of the dimensional regularization. As main result, we perform also the evaluation of this integral by using the Residue Theorem on complex variable. In addition, the equivalence between the two procedures is shown through Gamma function properties.<br />Comment: in Spanish

Details

Language :
Spanish; Castilian
Database :
arXiv
Journal :
This versi\'on will be published in RMF E (2021)
Publication Type :
Report
Accession number :
edsarx.2011.01887
Document Type :
Working Paper
Full Text :
https://doi.org/10.31349/RevMexFisE.18.23