Banca de DEFESA: EDUARDO LOURENÇO FÁBIO DE LIMA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : EDUARDO LOURENÇO FÁBIO DE LIMA
DATE: 11/03/2024
TIME: 15:00
LOCAL: A definir
TITLE:

Hilbert series for flavor invariants and CP violation

PAGES: 30
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUBÁREA: Física das Partículas Elementares e Campos
SUMMARY:

This work delves into the study of flavor invariants and, in special, invariants capable of detecting CP (Charge-Parity) violation. Through the mathematical tool of the Hilbert series, we systematically enumerate and explore flavor invariants that are unchanged under weak basis transformations. After reviewing the Hilbert series and the flavor invariants of the SM quark sector, we apply the tool of Hilbert series to the SM extended by a singlet vector-like quark (VLQ) of down-type. The introduction of these hypothetical particles leads to a simple extension of the SM that can be motivated by many problems, including the need for new sources of CP violation to explain the observed matter-antimatter asymmetry in the universe. We were successful in calculating the Hilbert series for the VLQ extension in the mass basis of the VLQ, where the spurion transformations are simpler. Based on the Hilbert series, we build and enumerate the basic flavor invariants with which all invariants can be constructed. For a generic basis, where the spurion transformations involve a larger group, we could only get the first few terms of the Hilbert series.

COMMITTEE MEMBERS:
Presidente - Interno ao Programa - 1676798 - CELSO CHIKAHIRO NISHI
Membro Titular - Examinador(a) Interno ao Programa - 2616823 - ALYSSON FABIO FERRARI
Membro Titular - Examinador(a) Externo à Instituição - ORLANDO LUIS GOULART PERES - UNICAMP
Membro Suplente - Examinador(a) Interno ao Programa - 1770888 - CELIO ADREGA DE MOURA JUNIOR
Membro Suplente - Examinador(a) Externo à Instituição - PEDRO CUNHA DE HOLANDA - UNICAMP