https://doi.org/10.1140/epjc/s10052-013-2560-1
Regular Article - Theoretical Physics
Stringent tests of constrained Minimal Flavor Violation through ΔF=2 transitions
1
TUM-IAS, Lichtenbergstr. 2a, 85748, Garching, Germany
2
Physik Department, TUM, 85748, Garching, Germany
* e-mail: jennifer.girrbach@gmail.com
Received:
2
July
2013
Revised:
14
August
2013
Published online:
6
September
2013
New Physics contributions to ΔF=2 transitions in the simplest extensions of the Standard Model (SM), the models with constrained Minimal Flavor Violation (CMFV), are parametrized by a single variable S(v), the value of the real box diagram function that in CMFV is bounded from below by its SM value S
0(x
t
). With already very precise experimental values of ε
K
, ΔM
d
, ΔM
s
and precise values of the CP-asymmetry 
and of 
entering the evaluation of ε
K
, the future of CMFV in the ΔF=2 sector depends crucially on the values of |V
cb
|, |V
ub
|, γ, 
and 
. The ratio ξ of the latter two non-perturbative parameters, already rather precisely determined from lattice calculations, allows then together with ΔM
s
/ΔM
d
and to determine the range of the angle γ in the unitarity triangle independently of the value of S(v). Imposing in addition the constraints from |ε
K
| and ΔM
d
allows to determine the favorite CMFV values of |V
cb
|, |V
ub
|, 
and as functions of S(v) and γ. The |V
cb
|4 dependence of ε
K
allows to determine |V
cb
| for a given S(v) and γ with a higher precision than it is presently possible using tree-level decays. The same applies to |V
ub
|, |V
td
| and |V
ts
| that are automatically determined as functions of S(v) and γ. We derive correlations between and , |V
cb
|, |V
ub
| and γ that should be tested in the coming years. Typically and have to be lower than their present lattice values, while |V
cb
| has to be higher than its tree-level determination, with a significance depending on the evolution of their errors. Within the SM this would imply values for 
and 
that are typically larger by (15–20) % than those presently quoted in the literature. The region in the space of these three parameters allowed by CMFV indicates tensions in this class of models and hints for the presence of new sources of flavor violation and/or new local operators in ΔF=2 data that are strongly suppressed in these models. As a byproduct we propose to reduce the present uncertainty in the charm contribution to ε
K
by using the experimental value of ΔM
K
.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
