331 Models Facing the Tensions in \$\Delta F=2\$ Processes with the Impact on \$\varepsilon^\prime/\varepsilon\$, \$B\_s\to\mu^+\mu^-\$ and \$BK^*\mu^+\mu^-\$
Motivated by the recently improved lattice QCD results on the hadronic matrix
elements entering \$\Delta M\_s,d\$ in \$B\_s,d^0-B\_s,d^0\$ mixings and
the resulting increased tensions between \$\Delta M\_s,d\$ and \$\varepsilon\_K\$
in the Standard Model and CMFV models, we demonstrate that these tensions can
be removed in 331 models based on the gauge group \$SU(3)\_CSU(3)\_L\times
U(1)\_X\$ both for \$M\_Z^\prime\$ in the LHC reach and well beyond it. But the
implied new physics (NP) patterns in \$\Delta F=1\$ observables depend
sensitively on the value of \$|V\_cb|\$. Concentrating the analysis on three 331
models that have been selected by us previously on the basis of their
performance in electroweak precision tests and \$\varepsilon^\prime/\varepsilon\$
we illustrate this for \$|V\_cb|=0.042\$ and \$|V\_cb|=0.040\$. We find that
these new lattice data still allow for positive shifts in
\$\varepsilon^\prime/\varepsilon\$ up to \$610^-4\$ for
\$M\_Z^\prime=3\~TeV\$ for both values of \$\$|V\_cb|\$ but for
\$M\_Z^\prime=10\~TeV\$ only for \$|V\_cb|=0.040\$ such shifts can be obtained. NP
effects in \$B\_s\to\mu^+\mu^-\$ and in the Wilson coefficient \$C\_9\$ are
significantly larger in all three models for the case of \$|V\_cb|=0.040\$. In
particular in two models the rate for \$B\_s\to\mu^+\mu^-\$ can be reduced by NP
by \$20\%\$ for \$M\_Z^\prime=3\~TeV\$ resulting in values in the ballpark of
central values from CMS and LHCb. In the third model a shift in \$C\_9\$ up to
\$C\_9^NP=-0.5\$ is possible. We also consider the simplest 331 model,
analyzed recently in the literature, in which \$X=Y\$, the usual hypercharge. We
find that in this model NP effects in flavour observables are much smaller than
in the three models with \$X\not=Y\$, in particular NP contributions to the ratio
\$\varepsilon^\prime/\varepsilon\$ are very strongly suppressed.
%0 Generic
%1 Buras2016331
%A Buras, Andrzej J.
%A De Fazio, Fulvia
%D 2016
%K bsm, flavour
%T 331 Models Facing the Tensions in \$\Delta F=2\$ Processes with the Impact on \$\varepsilon^\prime/\varepsilon\$, \$B\_s\to\mu^+\mu^-\$ and \$BK^*\mu^+\mu^-\$
%U http://arxiv.org/abs/1604.02344
%X Motivated by the recently improved lattice QCD results on the hadronic matrix
elements entering \$\Delta M\_s,d\$ in \$B\_s,d^0-B\_s,d^0\$ mixings and
the resulting increased tensions between \$\Delta M\_s,d\$ and \$\varepsilon\_K\$
in the Standard Model and CMFV models, we demonstrate that these tensions can
be removed in 331 models based on the gauge group \$SU(3)\_CSU(3)\_L\times
U(1)\_X\$ both for \$M\_Z^\prime\$ in the LHC reach and well beyond it. But the
implied new physics (NP) patterns in \$\Delta F=1\$ observables depend
sensitively on the value of \$|V\_cb|\$. Concentrating the analysis on three 331
models that have been selected by us previously on the basis of their
performance in electroweak precision tests and \$\varepsilon^\prime/\varepsilon\$
we illustrate this for \$|V\_cb|=0.042\$ and \$|V\_cb|=0.040\$. We find that
these new lattice data still allow for positive shifts in
\$\varepsilon^\prime/\varepsilon\$ up to \$610^-4\$ for
\$M\_Z^\prime=3\~TeV\$ for both values of \$\$|V\_cb|\$ but for
\$M\_Z^\prime=10\~TeV\$ only for \$|V\_cb|=0.040\$ such shifts can be obtained. NP
effects in \$B\_s\to\mu^+\mu^-\$ and in the Wilson coefficient \$C\_9\$ are
significantly larger in all three models for the case of \$|V\_cb|=0.040\$. In
particular in two models the rate for \$B\_s\to\mu^+\mu^-\$ can be reduced by NP
by \$20\%\$ for \$M\_Z^\prime=3\~TeV\$ resulting in values in the ballpark of
central values from CMS and LHCb. In the third model a shift in \$C\_9\$ up to
\$C\_9^NP=-0.5\$ is possible. We also consider the simplest 331 model,
analyzed recently in the literature, in which \$X=Y\$, the usual hypercharge. We
find that in this model NP effects in flavour observables are much smaller than
in the three models with \$X\not=Y\$, in particular NP contributions to the ratio
\$\varepsilon^\prime/\varepsilon\$ are very strongly suppressed.
@misc{Buras2016331,
abstract = {Motivated by the recently improved lattice QCD results on the hadronic matrix
elements entering \$\Delta M\_{s,d}\$ in \$B\_{s,d}^0-\bar B\_{s,d}^0\$ mixings and
the resulting increased tensions between \$\Delta M\_{s,d}\$ and \$\varepsilon\_K\$
in the Standard Model and CMFV models, we demonstrate that these tensions can
be removed in 331 models based on the gauge group \$SU(3)\_C\times SU(3)\_L\times
U(1)\_X\$ both for \$M\_{Z^\prime}\$ in the LHC reach and well beyond it. But the
implied new physics (NP) patterns in \$\Delta F=1\$ observables depend
sensitively on the value of \$|V\_{cb}|\$. Concentrating the analysis on three 331
models that have been selected by us previously on the basis of their
performance in electroweak precision tests and \$\varepsilon^\prime/\varepsilon\$
we illustrate this for \$|V\_{cb}|=0.042\$ and \$|V\_{cb}|=0.040\$. We find that
these new lattice data still allow for positive shifts in
\$\varepsilon^\prime/\varepsilon\$ up to \$6\times 10^{-4}\$ for
\$M\_{Z^\prime}=3\~{}TeV\$ for both values of \$\$|V\_{cb}|\$ but for
\$M\_{Z^\prime}=10\~{}TeV\$ only for \$|V\_{cb}|=0.040\$ such shifts can be obtained. NP
effects in \$B\_s\to\mu^+\mu^-\$ and in the Wilson coefficient \$C\_9\$ are
significantly larger in all three models for the case of \$|V\_{cb}|=0.040\$. In
particular in two models the rate for \$B\_s\to\mu^+\mu^-\$ can be reduced by NP
by \$20\%\$ for \$M\_{Z^\prime}=3\~{}TeV\$ resulting in values in the ballpark of
central values from CMS and LHCb. In the third model a shift in \$C\_9\$ up to
\$C\_9^\text{NP}=-0.5\$ is possible. We also consider the simplest 331 model,
analyzed recently in the literature, in which \$X=Y\$, the usual hypercharge. We
find that in this model NP effects in flavour observables are much smaller than
in the three models with \$X\not=Y\$, in particular NP contributions to the ratio
\$\varepsilon^\prime/\varepsilon\$ are very strongly suppressed.},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Buras, Andrzej J. and De Fazio, Fulvia},
biburl = {https://www.bibsonomy.org/bibtex/28d1520c101d9d0797463c28fcd0d0bef/cmcneile},
citeulike-article-id = {14007720},
citeulike-linkout-0 = {http://arxiv.org/abs/1604.02344},
citeulike-linkout-1 = {http://arxiv.org/pdf/1604.02344},
day = 8,
eprint = {1604.02344},
interhash = {a2a46eaf34e6e2acd7474ca7e433b97d},
intrahash = {8d1520c101d9d0797463c28fcd0d0bef},
keywords = {bsm, flavour},
month = apr,
posted-at = {2016-04-11 10:18:58},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{331 Models Facing the Tensions in \$\Delta F=2\$ Processes with the Impact on \$\varepsilon^\prime/\varepsilon\$, \$B\_s\to\mu^+\mu^-\$ and \$B\to K^*\mu^+\mu^-\$}},
url = {http://arxiv.org/abs/1604.02344},
year = 2016
}