Regular Article - Theoretical Physics
transitions in the standard model effective field theory
Key Laboratory of Quark and Lepton Physics (MOE), Institute of Particle Physics, Central China Normal University, Wuhan, 430079, Hubei, China
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Accepted: 8 March 2019
Published online: 22 March 2019
The anomalies observed in decays have attracted much attention in recent years. In this paper, we study the , , , , and decays, all being mediated by the same quark-level transition, in the Standard Model Effective Field Theory. The most relevant dimension-six operators for these processes are , , , and in the Warsaw basis. Evolution of the corresponding Wilson coefficients from the new physics scale TeV down to the characteristic scale is performed at three-loop in QCD and one-loop in EW/QED. It is found that, after taking into account the constraint , a single or can still be used to resolve the anomalies at , while a single is already ruled out by the measured at more than . By minimizing the function constructed based on the current data on R(D), , , , and , we obtain eleven most trustworthy scenarios, each of which can provide a good explanation of the anomalies at . To further discriminate these different scenarios, we predict thirty-one observables associated with the processes considered under each NP scenario. It is found that most of the scenarios can be differentiated from each other by using these observables and their correlations.
© The Author(s), 2019