https://doi.org/10.1140/epjc/s10052-019-6766-8
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
* e-mail: xqli@mail.ccnu.edu.cn
Received:
19
November
2018
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
