https://doi.org/10.1140/epjc/s10052-019-6667-x
Regular Article - Theoretical Physics
Emerging
-anomaly from tree-level determinations of
and the angle
1
Institut für Kernphysik, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344, Eggenstein-Leopoldshafen, Germany
2
Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology, Engesserstraße 7, 76128, Karlsruhe, Germany
3
TUM-IAS, Lichtenbergstr. 2a, 85748, Garching, Germany
4
Physik Department, TUM, 85748, Garching, Germany
* e-mail: monika.blanke@kit.edu
Received:
23
December
2018
Accepted:
9
February
2019
Published online:
21
February
2019
We point out that the recently increased value of the angle in the unitarity triangle (UT), determined in tree-level decays to be
by the LHCb collaboration, combined with the most recent value of
implies an enhancement of
over the data in the ballpark of
. This is larger by roughly a factor of two than the enhancement of
that is independent of
. This disparity of enhancements is problematic for models with constrained minimal flavour violation (CMFV) and also for
models. In view of the prospects of measuring
with the precision of
by Belle II and LHCb in the coming years, we propose to use the angles
and
together with
and
as the fundamental parameters of the CKM matrix until
from tree-level decays will be known precisely. Displaying
as functions of
clearly demonstrates the tension between the value of
from tree-level decays, free from new physics (NP) contributions, and
calculated in CMFV and
models and thus exhibits the presence of NP contributions to
beyond these frameworks. We calculate the values of
and
as functions of
and
and discuss the implications of our results for
and rare K and B decays. We also briefly discuss a future strategy in which
, possibly affected by NP, is replaced by
.
© The Author(s), 2019