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