Multiloop calculations with implicit regularization in massless theories

We establish a systematic way to calculate multiloop amplitudes of infrared safe massless models with Implicit Regularization (IR), with a direct cancelation of the fictitious mass introduced by the procedure. The ultraviolet content of such amplitudes have a simple structure and its separation perm...

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Detalhes bibliográficos
Autores: Dias, E. W., Scarpelli, A. P. Baeta, Brito, L. C. T., Fargnoli, H. G.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Brasil
Recursos:Universidade Federal de Lavras (UFLA)
Repositorio:Repositório Institucional da UFLA
Idioma:inglés
OAI Identifier:oai:repositorio.ufla.br:1/42006
Acesso em linha:https://repositorio.ufla.br/handle/1/42006
Access Level:acceso abierto
Palavra-chave:Regularization
Renormalization
Multiloop calculations
Implicit Regularization (IR)
Regularização
Renormalização
Cálculo multiloop
Regularização implícita (RI)
Descrição
Resumo:We establish a systematic way to calculate multiloop amplitudes of infrared safe massless models with Implicit Regularization (IR), with a direct cancelation of the fictitious mass introduced by the procedure. The ultraviolet content of such amplitudes have a simple structure and its separation permits the identification of all the potential symmetry violating terms, the surface terms. Moreover, we develop a technique for the calculation of an important kind of finite multiloop integral which seems particularly convenient to use Feynman parametrization. Finally, we discuss the Implicit Regularization of infrared divergent amplitudes, showing with an example how it can be dealt with an analogous procedure in the coordinate space.