Numerical study of the Higgs Inflationary Model

The concept of cosmological inflation emerged as a proposed solution to address several notable shortcomings within the framework of the Hot Big Bang theory1, particularly concerning issues such as flatness and horizon problems. Central to this approach is identifying a potential that drives this epoch of rapid expansion. In this study, the Higgs model is chosen as the focal point for investigation. This analysis employs two distinct methodologies: the slow-roll approximation and numerical calculations. These approaches comprehensively explore the dynamics and implications of the Higgs model in the context of inflationary cosmology. The outcomes of this investigation yield crucial insights into the Universe’s behavior during the inflationary epoch. Specifically, attention is directed towards key observational features, including the scalar spectral index denoted as nS, the tensor-scalar ratio represented by r, and the scalar power spectrum denoted as PS. These results are rigorously compared against observational data, such as those provided by Planck’s results in 2018. The culmination of this work reveals compelling evidence suggesting that the Higgs model holds considerably favorable when juxtaposed with the findings of the Planck mission. Moreover, intriguingly, it is observed that a parameter space exists within which a convergence between numerical predictions and observational data sets is manifest. This convergence underscores the potential viability and relevance of the Higgs model within the broader context of contemporary cosmological inquiry.

• 主要作者: Urbano Benavides, Iván Pablo (author)
• 格式: bachelorThesis
• 语言: eng
• 出版: 2024
• 主题: Cosmología; Espectro de potencia; Potencial Higgs; Cosmology; Power spectrum; Higgs potential
• 在线阅读: http://repositorio.yachaytech.edu.ec/handle/123456789/799