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Scholarly Works (3 results)

  • Thesis
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UC Irvine Electronic Theses and Dissertations (2024)

In this thesis, we investigate the fundamental aspects of particle physics, specifically in the context of physics beyond the Standard Model. We focus on addressing two of the problems in this context: the flavor problem and the dynamical evolution of chiral symmetries.

We explore the flavor problem, specifically concerning the mystery behind the number of generations in the Standard Model (SM) by using the tools in supersymmetric theories to challenge notions of ‘generations’ as an invariant through RG flows from UV to IR. To achieve this, we perform a detailed analysis of non-perturbative field theoretic dynamics in supersymmetric models. This study not only offers profound insights into the peculiarities of QFTs but also helps navigate the string landscape of viable models. Furthermore, we also develop model-building tools to achieve mass gaps in chiral models, a crucial ingredient in generation flows, in full generality for various gauge groups.

In the second part of this thesis, we explore the flavor problem using the lens of modular symmetries. Focusing on a torus based approach, the underlying physical parameters in this methodology are derived by adding flux to the two compactified extra dimensions. In chapter 4, we wade through the strengths and challenges of this method. We can understand the flavor parameters by examining the modular-form Yukawas, and the overall symmetry group in terms of the flux parameters. Expanding on the strengths of the modular approach, in chapter 5, we also propose an eclectic scheme, where we draw from the union of modular and traditional discrete flavor groups in string theory, to provide a unified framework forunderstanding flavor physics.

Using mathematical analysis in various settings, be it stringy models, or supersymmetric theories, we present this thesis as a minor contribution to the search for an understanding of the puzzles of the Standard Model. It offers several model-building tools and frameworks that provide non-standard insights beyond the Standard Model.

    Cover page: Beyond Standard Modeling: Modular Symmetries and Non-Perturbative MethodsCreative Commons 'BY' version 4.0 license
    • Article
    • Peer Reviewed
    UC Irvine Previously Published Works (2021)
    Nontrivial strong dynamics often leads to the appearance of chiral composites. In phenomenological applications, these can either play the role of Standard Model particles or lift chiral exotics by partnering with them in mass terms. As a consequence, the RG flow may change the effective number of chiral generations, a phenomenon we call generation flow. We provide explicit constructions of globally consistent string models exhibiting generation flow. Since such constructions were misclassified in the traditional model searches, our results imply that more care than usually appreciated has to be taken when scanning string compactifications for realistic models.
      • Article
      • Peer Reviewed
      UC Irvine Previously Published Works (2022)
      Modular flavor symmetries provide us with a new, promising approach to the flavor problem. However, in their original formulation the kinetic terms of the standard model fields do not have a preferred form, thus introducing additional parameters, which limit the predictive power of this scheme. In this work, we introduce the scheme of quasi–eclectic flavor symmetries as a simple fix. These symmetries are the direct product of a modular and a traditional flavor symmetry, which are spontaneously broken to a diagonal modular flavor subgroup. This allows us to construct a version of Feruglio's model with the Kähler terms under control. At the same time, the starting point is reminiscent of what one obtains from explicit string models.
        Cover page: Quasi–eclectic modular flavor symmetriesCreative Commons 'BY' version 4.0 license
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