TY - JOUR
T1 - Cálculo de la integral escalar a un lazo A(m2) mediante el teorema del residuo
AU - García-Aguilar, J. D.
AU - Gómez-Izquierdo, J. C.
N1 - Publisher Copyright:
© 2021 Sociedad Mexicana de Fisica. All rights reserved.
PY - 2021/1
Y1 - 2021/1
N2 - 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 A2, 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.
AB - 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 A2, 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.
KW - Field theory
KW - Properties of perturbation theory
KW - Renormalization
UR - http://www.scopus.com/inward/record.url?scp=85099714949&partnerID=8YFLogxK
U2 - 10.31349/REVMEXFISE.18.23
DO - 10.31349/REVMEXFISE.18.23
M3 - Artículo
AN - SCOPUS:85099714949
SN - 1870-3542
VL - 18
SP - 23
EP - 27
JO - Revista Mexicana de Fisica E
JF - Revista Mexicana de Fisica E
IS - 1
ER -