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Giampiero Mancinelli
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With their 2010-2011 data set, the LHC experiments have started their quest to observe the rare decays B0_{s/d} -> mu+ mu-. This study will provide very sensitive probes of New Physics (NP) effects. NP discovery potential lies as well in the study of the decay B0_d -> K*0 mu+ mu-. Results and perspectives are presented for studies at the LHC of rare B decays involving flavor changing neutral currents.
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Rare leptonic decays of $B_{(s)}^0$ mesons are sensitive probes of New Physics effects. A combination of the CMS and LHCb analyses on the search of the rare decays $B_{s}^0 rightarrow mu^+mu^-$ and $B^0 rightarrow mu^+mu^-$ is presented. The branching fractions of $B_{s}^0 rightarrow mu^+mu^-$ and $B^0 rightarrow mu^+mu^-$ are measured to be $mathcal{B}(B_{s}^0 rightarrow mu^+mu^-) = (2.8 ,^{+0.7}_{-0.6}) times 10^{-9}$ and $mathcal{B}(B^0 rightarrow mu^+mu^-) = (3.9 ,^{+1.6}_{-1.4}) times 10^{-10}$ respectively. A statistical significances of $6.2,sigma$ is evaluated for $B_{s}^0 rightarrow mu^+mu^-$ from the Wilks theorem while a significance of $3.0, sigma$ is measured for $B^0 rightarrow mu^+mu^-$ from the Feldman-Cousins procedure.
oindent A search for the decays $B^0_{s}rightarrow mu^+ mu^- mu^+ mu^-$ and $B^0 rightarrow mu^+ mu^- mu^+ mu^-$ is performed using data, corresponding to an integrated luminosity of 1.0ensuremath{{,fb}^{-1}}xspace, collected with the LHCb detector in 2011. The number of candidates observed is consistent with the expected background and, assuming phase-space models of the decays, limits on the branching fractions are set: {${ensuremath{cal B}xspace}(B^0_{s}rightarrow mu^+ mu^- mu^+ mu^-) < 1.6 (1.2) times 10^{-8}$} and {${ensuremath{cal B}xspace}(B^0 rightarrow mu^+ mu^- mu^+ mu^-)< 6.6 (5.3) times 10^{-9}$} at 95,% (90,%) confidence level. In addition, limits are set in the context of a supersymmetric model which allows for the $B^0_{(s)}$ meson to decay into a scalar ($S$) and pseudoscalar particle ($P$), where $S$ and $P$ have masses of 2.5 GeV and 214.3 MeV, respectively, both resonances decay into $mu^+mu^-$. The branching fraction limits for these decays are {${ensuremath{cal B}xspace}(ensuremath{B^0_{s}rightarrow SP}xspace) < 1.6 (1.2) times 10^{-8}$} and {${ensuremath{cal B}xspace}(ensuremath{B^0rightarrow SP}xspace)< 6.3 (5.1) times 10^{-9}$} at 95% (90%) confidence level.
The flavour changing neutral current decays can be interesting probes for searching for new physics. Angular distributions of $b to s ell^+ ell^-$ transition processes of both $mathrm{B}^0 to mathrm{K}^{*0} mu^ +mu^-$ and $mathrm{B}^+ to mathrm{K}^+ mu^+mu^-$ are studied using a sample of proton-proton collisions at $sqrt{s} = 8~mathrm{TeV}$ collected with the CMS detector at the LHC, corresponding to an integrated luminosity of $20.5~mathrm{fb}^{-1}$. Angular analyses are performed to determine $P_1$ and $P_5$ angular parameters for $mathrm{B}^0 to mathrm{K}^{*0} mu^ +mu^-$ and $A_{FB}$ and $F_{H}$ parameters for $mathrm{B}^+ to mathrm{K}^+ mu^+mu^-$, all as functions of the dimuon invariant mass squared. The $P_5$ parameter is of particular interest due to recent measurements that indicate a potential discrepancy with the standard model. All the measurements are consistent with the standard model predictions. Efforts with more channels and more coming data will be continued to further test the standard model in higher precision in future.
A search for the rare leptonic decay $B^{+} rightarrow {mu}^{+}{mu}^{-}{mu}^{+}{ u}_{{mu}}$ is performed using proton-proton collision data corresponding to an integrated luminosity of $4.7$ fb$^{-1}$ collected by the LHCb experiment. The search is carried out in the region where the lowest of the two ${mu}^{+}{mu}^{-}$ mass combinations is below $980$MeV/c$^{2}$. The data are consistent with the background-only hypothesis and an upper limit of $1.6 times 10^{-8}$ at 95% confidence level is set on the branching fraction in the stated kinematic region.
A search is performed for the lepton number violating decay $B^{+}to h^- mu^+ mu^+$, where $h^-$ represents a $K^-$ or a $pi^-$, using data from the LHCb detector corresponding to an integrated luminosity of $36pb^{-1}$. The decay is forbidden in the Standard Model but allowed in models with a Majorana neutrino. No signal is observed in either channel and limits of $B(B^{+} to K^- mu^+ mu^+) < 5.4times 10^{-8}$ and $B(B^{+} to pi^- mu^+ mu^+) < 5.8times 10^{-8}$ are set at the 95% confidence level. These improve the previous best limits by factors of 40 and 30, respectively.
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