Estudo de sinais de espinores de dimensão canônica de massa um em aceleradores
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2017-02-23
Autores
Duarte, Laura Cristina [UNESP]
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Universidade Estadual Paulista (Unesp)
Resumo
Os espinores ELKO propostos por Ahluwalia e Grumiller, são autoespinores do operador de conjugação de carga, 𝐶, com autovalor positivo (autoconjugado) e negativo (anti-autoconjugado). São objetos de dimensão canônica de massa um e portanto, seus acoplamentos com as partículas do Modelo Padrão são extremamente restritos. Nesse trabalho estudou-se o acoplamento do ELKO com o tensor eletromagnético, ℒ𝑖𝑛𝑡 = 𝑔𝑒 ¬ 𝜂 (𝑥)[𝛾 𝜇 ,𝛾𝜈 ]𝜂(𝑥)𝐹𝜇𝜈(𝑥), uma das possíveis interações do ELKO com as partículas do Modelo Padrão. Foi realizada uma análise fenomenológica na busca por uma região de massa e constante de acoplamento, 𝑔𝑒, associada com um fóton no estado final. Para trabalhar com essa classe de espinores dentro do programa Madgraph foi necessário introduzir as funções de onda para os campos fermiônicos ELKO nesse programa. Além disso, as regras de Feynman para esses espinores foram obtidas, e um algoritmo foi desenvolvido para obter a seção de choque de um processo de espalhamento de dois ELKOs, de onde foi possível retirar informações sobre a unitariedade da teoria envolvendo a interação estudada.
The ELKO spinors proposed by Ahluwalia and Grumiller, are eingenspinors of the charge conjugation operator, 𝐶, that can take positive (self-conjugated) and negative (anti-self-conjugated) eigenvalues. They are objects of canonical dimension of mass one and, therefore, their couplings with the Standard Model particles are extremely restricted. In this work the coupling of the ELKO with the electromagnetic tensor, ℒ𝑖𝑛𝑡 = 𝑔𝑒 ¬ 𝜂 (𝑥)[𝛾 𝜇 ,𝛾𝜈 ]𝜂(𝑥)𝐹𝜇𝜈(𝑥), was studied. This is one of the possible ELKO interactions with particles of the Standard Model. A phenomenological analysis was performed in the search for a region of mass and coupling constant,𝑔𝑒, associated with a photon in the final state. To work with this class of spinors within the program Madgraph it was necessary introduce the wave functions for the ELKO fermionic fields in this program. In addition, the Feynman rules for these spinors were obtained, and an algorithm was developed to obtain the cross section of a scattering process of two ELKOs, from which it was possible to gather information about the unitarity of the theory involving the interaction studied.
The ELKO spinors proposed by Ahluwalia and Grumiller, are eingenspinors of the charge conjugation operator, 𝐶, that can take positive (self-conjugated) and negative (anti-self-conjugated) eigenvalues. They are objects of canonical dimension of mass one and, therefore, their couplings with the Standard Model particles are extremely restricted. In this work the coupling of the ELKO with the electromagnetic tensor, ℒ𝑖𝑛𝑡 = 𝑔𝑒 ¬ 𝜂 (𝑥)[𝛾 𝜇 ,𝛾𝜈 ]𝜂(𝑥)𝐹𝜇𝜈(𝑥), was studied. This is one of the possible ELKO interactions with particles of the Standard Model. A phenomenological analysis was performed in the search for a region of mass and coupling constant,𝑔𝑒, associated with a photon in the final state. To work with this class of spinors within the program Madgraph it was necessary introduce the wave functions for the ELKO fermionic fields in this program. In addition, the Feynman rules for these spinors were obtained, and an algorithm was developed to obtain the cross section of a scattering process of two ELKOs, from which it was possible to gather information about the unitarity of the theory involving the interaction studied.
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Partículas, Teoria quântica de campos, Seção de choque