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Charged Higgs contribution to $bar{B}_s rightarrow phi pi^0 $ and $bar{B}_s rightarrow phi rho^0 $

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 نشر من قبل Gaber Faisel Dr
 تاريخ النشر 2013
  مجال البحث
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 تأليف Gaber Faisel




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We study the decay modes $bar{B}_sto phi pi^0$ and $bar{B}_sto phi rho^0$ within the frameworks of two-Higgs doublet models type-II and typ-III. We adopt in our study Soft Collinear Effective Theory as a framework for the calculation of the amplitudes. We derive the contributions of the charged Higgs mediation to the weak effective Hamiltonian governing the decay processes in both models. Moreover we analyze the effect of the charged Higgs mediation on the Wilson coefficients of the electrowek penguins and on the branching ratios of $bar{B}_sto phi pi^0$ and $bar{B}_sto phi rho^0$ decays. We show that wthin two-Higgs doublet models type-II and type-III the Wilson coefficients corresponding to the electroweak penguins can be enhanced due to the contributions from the charged Higgs mediation leading into enhancement in the branching ratios of $ bar{B}_sto phi pi^0$ and $bar{B}_sto phi rho^0 $ decays. We find that, within two-Higgs doublet models type-II, the enhancement in the branching ratio of $bar{B}_sto phi pi^0$ can not exceed $18%$ with respect to the SM predictions. For the branching ratio of $bar{B}_sto phi rho^0$, we find that the charged Higgs contribution in this case is small where the branching ratio of $bar{B}_sto phi rho^0$ can be enhanced or reduced by about $4% $ with respect to the SM predictions. For the case of the two-Higgs doublet models type-III we show that the branching ratio of $bar{B}_sto phi pi^0$ can be enhanced by about a factor $2$ of its value within two-Higgs doublet models type-II. However no sizable enhancement with respect to the SM predictions can be obtained for both $bar{B}_sto phi pi^0$ and $bar{B}_sto phi rho^0$ decays.



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153 - Gaber Faisel 2014
The decay modes $bar{B}_s rightarrow pi^0(rho^0 ),eta^{()} $ are dominated by electroweak penguins that are small in the standard model. In this work we investigate the contributions to these penguins from a model with an additional $U(1)$ gauge symm etry and show there effects on the branching ratios of $bar{B}_s rightarrow pi^0(rho^0 ),eta^{()} $. In a scenario of the model, where $Z^prime$ couplings to the left-handed quarks vanish, we show that the maximum enhancement occurs in the branching ratio of $bar B^0_sto ,pi^0,eta$ where it can reach $6$ times the SM prediction. On the other hand, in a scenario of the model where $Z^prime$ couplings to both left-handed and right-handed quarks do not vanish, we find that $Z^prime$ contributions can enhance the branching ratio of $B^0_sto,rho^0,eta$ up to one order of magnitude comparing to the SM prediction for several sets of the parameter space where both $ Delta M_{B_s}$ and $S_{psiphi}$ constraints are satisfied. This kind of enhancement occurs for a rather fine-tuned point where $ Delta M_{B_s}$ constraint on $mid S_{SM} (B_s) + S_{Z} (B_s)mid $ is fulfilled by overcompensating the SM via $S_{Z} (B_s) simeq -2 S_{SM} (B_s)$.
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