Banca de DEFESA: DAFNE CAROLINA ARIAS PERDOMO

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : DAFNE CAROLINA ARIAS PERDOMO
DATE: 21/09/2022
TIME: 14:00
LOCAL: Videoconferencia
TITLE:

Practical approaches to gauge theories: renormalization group functions at two-loop within 4D Implicit Regularization

PAGES: 138
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
SPECIALTY: Teoria Geral de Partículas e Campos
SUMMARY:

The data collected at the LHC do not indicate significant deviations from the predictions of the Standard Model (SM). Taking into account that precision observables can be predicted already at two and three loops, it is evident the necessity to develop stringent tests of self-consistency of the SM. We compute the 2-loop β-function of pure Yang-Mills (YM), Quantum Electrodynamics (QED), and Quantum Chromodynamics (QCD) using the background field method (BFM) in a full setup using Implicit Regularization (IREG). We also calculate the 2-loop γ-function of QED. A thorough comparison with dimensional approaches such as conventional dimensional regularization (CDR) and dimensional reduction (DRED) is presented. Subtleties related to Dirac algebra inside divergent integrals in the present of gluonic or fermionic loops as well as renormalization schemes are carefully discussed within IREG. Finally, two algorithms for the automated calculation of the β-function and the γ-function were developed in Mathematica. Some of the computational strategies applied are presented.

BANKING MEMBERS:
Presidente - Interno ao Programa - 1260948 - MARCOS DONIZETI RODRIGUES SAMPAIO
Membro Titular - Examinador(a) Interno ao Programa - 1544374 - ALEX GOMES DIAS
Membro Titular - Examinador(a) Interno ao Programa - 1545176 - MARCELO AUGUSTO LEIGUI DE OLIVEIRA
Membro Titular - Examinador(a) Externo à Instituição - FERNANDO FEBRES CORDERO
Membro Titular - Examinador(a) Externo à Instituição - BRIGITTE HILLER - UC
Membro Suplente - Examinador(a) Interno ao Programa - 1676343 - PEDRO GALLI MERCADANTE
Membro Suplente - Examinador(a) Interno ao Programa - 1676798 - CELSO CHIKAHIRO NISHI
Membro Suplente - Examinador(a) Externo à Instituição - ALEX HEINZ LADISLAUS BLIN - UC
Membro Suplente - Examinador(a) Externo à Instituição - ORLANDO LUIS GOULART PERES - UNICAMP