摘要:
In the last decade or so, the CKM anomaly has appeared as a 3σ deviation of the first row of the CKM matrix from the SM prediction of unitarity. In this thesis, I investigate the impact of three separate NP models on the CKM anomaly. The first two models consist of adding either right-handed or pseudoscalar currents in the quark sector of the low-energy Lagrangian of the electroweak SM, while the third is a 3 + 1 sterile neutrino model with sterile mass in the MeV- range. Fitting the models with additional quark currents to the experimental data results in an improved agreement between theory and experiment, especially for the right-handed currents model: that brings the minimum χ 2 down from its SM value of 24.60 by ∆χ 2 = 18.05, while the pseudoscalar currents ∆χ 2 is 4.73. A proposed direction for further research is to add both right- handed and pseudoscalar currents. As for the 3+1 sterile neutrino model, there is no improvement in the fit for sterile masses between 34 MeV and 1 GeV. However, choosing a sterile mass m 4 of 1 or 17 MeV leads to a ∆χ 2 of 7.66 and 7.33, at a mixing angle |U e4 | of 0.0393[70] and 0.0419[82], respectively. To my knowledge, these are the first results about lower MeV-range sterile neutrinos in relation to the CKM anomaly. The sterile minimum at 1 MeV is not excluded by the current constraints in the (|U eN | 2, m N )-plane, while that at 17 MeV is. Interesting next steps could be to explore the sterile mass range below 1 MeV – possibly leading to relatively unconstrained regions of the (|U µN | 2, m N )-plane – and also to go beyond this simple 3+1 model to e. g. 3+2 or νSMEFT models.