Tese de Doutorado #273: Adriano Cherchiglia

Momentum Routing Invariance in Feynman diagrams and Symmetries as a guide to regularization ambiguities: Standard and Beyond Standard Model examples

Autor: Adriano Lana Cherchiglia

Banca Avaliadora

Marcos Donizeti Rodrigues Sampaio (orientador)

Física - UFMG

Ricardo Schwartz Schor

Física - UFMG

Antônio Sérgio Teixeira Pires

Física - UFMG

José Abdalla Helayel Neto

CBPF

Heron Carlos de Godoy Caldas

DF/UFSJ

Orientadores

Marcos Donizeti Rodrigues Sampaio (orientador)

Departamento de Física - UFMG

Resumo do Trabalho

In this thesis we present a general view on regularization ambiguities and develop a systematization on how such ambiguities can be related to momentum routing invariance of Feynman diagrams and symmetries. We apply our formalism to a variety of theories and examples such as: the Higgs boson decay to two photons, the two photon scattering, induction (or not) of a Chern-Simons tem on gravitational effective models, supersymmetric electrodynamics and the anomaly puzzle. We also study the role played by quadratic divergences on a variety of examples showing its connection (or not) to the ambiguities aforementioned.