Lepton universality in the MSSM with trilinear R-parity violation model
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Date
2024
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Abstract
The Standard Model (SM) of particle physics, though highly successful, fails to address several fundamental questions, including the neutrino masses origin, the nature of dark matter, among others. The recent LHCb collaboration analysis measured the ratio of branching fractions RK inB+ → K+ℓ+ℓ− decay to test lepton universality, a property predicted by the SM. This observable is particularly powerful due to the cancellation of hadronic uncertainties, making it a sensitive probe for new physics. The measured value of RK is consistent with the SM prediction, suggesting nosignificant lepton universality violation. Nevertheless, given the limitations of the SM, this thesis explores a SM extension using the MSSM+λ ′TRPV model. By incorporating all possible SUSY contributions, we aim to theoretically predict the experimental RK result, providing a novel perspective on determining the parameter space that fit with the experimental measurement. The analysis is conducted within an Effective Field Theory framework across four different scenarios for Wilson Coefficients to account for the higher energy scales associated with these particles, translating their effects to the measurable energy range. The theoretical calculation is performedusing a scan in Python, while respecting other experimental constraints regarding SUSY particles. We found that the parameter space that respect the 3σ region of the LHCb collaboration measurement is |λ′| ≲ 10−2 or m˜ ≳ 8.5 TeV. Additionally, we found that our result is independent from each scenario for Wilson Coefficients. Finally, we discovered that RK has no particular bias towards any individual λ′ijk.
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Tesis (Master’s degree in Physics)--Pontificia Universidad Católica de Chile, 2024