https://doi.org/10.1140/epjc/s10052-022-10583-8
Regular Article - Theoretical Physics
The exclusive vision of rare K and B decays and of the quark mixing in the standard model
1
TUM Institute for Advanced Study, Lichtenbergstr. 2a, 85747, Garching, Germany
2
Physik Department, TU München, James-Franck-Straße, 85748, Garching, Germany
Received:
20
April
2022
Accepted:
2
July
2022
Published online:
15
July
2022
The most common predictions for rare K and B decay branching ratios in the Standard Model in the literature are based on the CKM elements and
resulting from global fits, that are in the ballpark of their inclusive and exclusive determinations, respectively. In the present paper we follow another route, which to our knowledge has not been explored for
and rare K and B decays by anybody to date. We assume, in contrast to the prevailing inclusive expectations for
, that the future true values of
and
will be both from exclusive determinations; in practice we use the most recent averages from FLAG. With the precisely known
the resulting rare decay branching ratios,
,
,
and
depend then only on the angles
and
in the unitarity triangle that moreover are correlated through the CKM unitarity. An unusual pattern of SM predictions results from this study with some existing tensions being dwarfed and new tensions being born. In particular using HPQCD
hadronic matrix elements a
tension in
independently of
is found. For
the tension in
between
and
is found and in the case of
between
and
. Moreover, the room for new physics in
,
and
decays is significantly increased. We compare the results in this EXCLUSIVE scenario with the HYBRID one in which
in the former scenario is replaced by the most recent inclusive
and present the dependence of all observables considered by us in both scenarios as functions of
. As a byproduct we compare the determination of
from
,
,
and
using
hadronic matrix elements from LQCD with
flavours,
flavours and their average. Only for the
case values for
and
exist for which the same value of
is found:
,
and
. This in turn implies a
anomaly in
.
© The Author(s) 2022
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