%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 }