Cabibbo anomaly versus electroweak precision tests: An exploration of extensions of the Standard Model

Abstract

There is a newly emerging tension between determinations of $V_{us}$ from different sources (known as the Cabibbo anomaly), which is clearly demonstrated by the new $R(V_{us})$ observable. We explore this observable from the perspective of the Standard Model Effective Field Theory and show there is a discrepancy between $R(V_{us})$ and existing electroweak precision observables (EWPO) in a simple single operator dominated scenario. We explore all possible single particle extensions of the Standard Model that can generate the Cabibbo anomaly effect and show how they cannot reconcile the current data. We further examine the future of EWPO at the ILC or FCC-ee experiments and discuss the effect on the tension of a change in specific EW observables.

arXiv commentv2: Add acknowledgements, improved discussion in Sections 2.1 and 6.1, small numerical updates to Table 3 and Figures 5 and 6, conclusions unchanged. v3: results for L1 vector corrected due to bug in code, other conclusions unchanged. v4: Journal version - discussion improvements in introduction, secs. 2 and 3, improved analysis, plots, and discussion of fermion BSM models to clarify viable models

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