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Muon anomalous magnetic moment and μ → e γ beyond the Standard Model

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Author(s):
Luighi Pierre Santos Leal
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Renata Zukanovich Funchal; Alex Gomes Dias; Chee Sheng Fong
Advisor: Renata Zukanovich Funchal
Abstract

The high-precision experiments in particle physics serve as rigorous tests of the Standard Model. The experimental measurement of muon anomalous magnetic moment indicates a significant difference between this value and the Standard Model prediction, which may be indicative of new physics. In addition, many theories that propose to explain this discrepancy can generate contributions to μ → e γ decay with magnitudes much bigger than Standard Model prediction, which can be measured experimentally in future experiments. In this work, we formalized how to obtain these contributions in Quantum Field Theory, highlighting the relationship between these observables. We also introduced the Passarino-Veltman integrals, as well as the projectors tool, which were used in the calculation of these contributions. With that, we studied several electroweak contributions to these observables, including interactions with scalar and vector bosons, neutral and charged, from where we obtained analytical expressions for these contributions and discussed the cases in which they can explain the experimental value of muon magnetic moment, respecting the decay experimental limits. Finally, we applied our results in a theory with left-right symmetry, where we studied two types of seesaw mechanisms that can arise in the context of this model context and analyzed the effect of new particles on the observables that we are interested in. (AU)

FAPESP's process: 19/00667-1 - The muon anomalous magnetic moment in a model which explains MiniBooNE
Grantee:Luighi Pierre Santos Leal
Support Opportunities: Scholarships in Brazil - Master