\relax \citation{mSUGRA} \citation{history} \citation{BNL} \citation{Feng,Nath,Nanopoulos,Arnowitt,Choi,Martin,Gomez,Kim,Sven,Barger, Fauzi,Roszkowski,Lahanas} \citation{Masiero} \citation{Masiero} \citation{Babu,Chankowski,Urban} \citation{Babu,Chankowski,Urban} \citation{cgnw} \citation{cgnw} \citation{fbs} \citation{Nierste} \citation{Urban} \citation{Buchalla} \citation{CDFbmumu} \citation{fnalbrep} \citation{Nierste} \citation{Babu,Chankowski,Urban} \citation{Babu,Chankowski,Urban} \citation{REWSB} \citation{ASBS} \citation{Ellis} \citation{BNL} \citation{Nierste} \newlabel{brancing}{{1}{2}} \newlabel{expbmumu}{{2}{2}} \newlabel{damu}{{3}{2}} \citation{LEPhiggs} \citation{Roszkowski} \citation{Shadmi} \citation{Stuart,Baer} \citation{Stuart} \citation{CDFbmumu} \citation{BNL} \bibcite{BNL}{1} \bibcite{LEPhiggs}{2} \bibcite{mSUGRA}{3} \bibcite{history}{4} \citation{mSUGRA} \bibcite{Feng}{5} \bibcite{Nath}{6} \bibcite{Nanopoulos}{7} \bibcite{Arnowitt}{8} \bibcite{Choi}{9} \bibcite{Martin}{10} \bibcite{Gomez}{11} \bibcite{Kim}{12} \bibcite{Sven}{13} \bibcite{Barger}{14} \bibcite{Fauzi}{15} \bibcite{Roszkowski}{16} \bibcite{Lahanas}{17} \bibcite{cgnw}{18} \bibcite{ASBS}{19} \bibcite{Burasreview}{20} \bibcite{fbs}{21} \bibcite{CDFbmumu}{22} \bibcite{fnalbrep}{23} \bibcite{LHCb}{24} \bibcite{Inami}{25} \bibcite{Krawczyk}{26} \bibcite{Buchalla}{27} \bibcite{He}{28} \bibcite{Nierste}{29} \bibcite{Urban}{30} \bibcite{Choudhury}{31} \bibcite{Babu}{32} \bibcite{Chankowski}{33} \bibcite{Maxim}{34} \bibcite{Masiero}{35} \bibcite{Ali}{36} \bibcite{REWSB}{37} \bibcite{Ellis}{38} \bibcite{Shadmi}{39} \bibcite{Stuart}{40} \bibcite{Baer}{41} \citation{CDFbmumu} \citation{BNL} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces The predicted SUSY contribution to the muon anomalous magnetic $\delta a_\mu $ (bottom), versus the predicted branching ratio $B_s\rightarrow \mu ^+\mu ^-$\nobreakspace {} (left) for the input values of $\mathop {\mathgroup \symoperators tan}\nolimits \beta $ (top) in an indicative mSUGRA point [$M_{1/2}=450, M_0=350, A_0=0, \mu >0, m_t=175$ GeV]. We plot the both LO and NLO corrections to $B_s\rightarrow \mu ^+\mu ^-$\nobreakspace {} together with the SM prediction and the present bound by CDF\nobreakspace {}\cite {CDFbmumu}, $B_s\rightarrow \mu ^+\mu ^-$$ < 2.6\times 10^{-6}$ at 95\% CL. The regions where the SUSY contribution to the muon anomalous magnetic moment is such that the present deviation with the SM is recovered at $1\sigma $ and $2\sigma $ is also shown. $f_{B_s}$ has been chosen to be 230 MeV.}}{5}} \newlabel{fig1}{{1}{5}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Contour plots (solid lines) of the predicted Branching Ratio $B_s\rightarrow \mu ^+\mu ^-$on the plane $M_{0},M_{1/2}$ in the mSUGRA scenario and for $\mathop {\mathgroup \symoperators tan}\nolimits \beta =50, A_0=0, \mu >0, m_t=175$ GeV. The fully shaded region is excluded from both theoretical [REWSB(left-upper corner),not neutralino LSP(down)] and experimental [susy and higgs searches (mainly left strip till 1 TeV $M_0$ approximately)] facts. The shaded-dotted region shows the prediction of this mSUGRA point for the muon anomalous magnetic moment [in units $10^{-10}$] being within $2 \sigma $ of the value reported in \cite {BNL}. Contours with the light Higgs boson mass equal to 115,120,121 are also shown (dotted-dashed lines). Here $f_{B_s}=230$ MeV. }}{5}} \newlabel{fig2}{{2}{5}}