Searches for heavy Majorana neutrinos in B decays in final states containing hadrons plus a \mu \mu pair have been performed using 0.41/fb of data collected with the LHCb detector in protonproton collisions at a centerofmass energy of 7 TeV. The D+ \mu \mu and D*+ \mu \mu final states can arise from the presence of virtual Majorana neutrinos of any mass. Other final states containing \pi+, Ds+, or D0\pi+ can be mediated by an onshell Majorana neutrino. No signals are found and upper limits are set on Majorana neutrino production as a function of mass, and also on the B decay branching fractions.
(a) Diagram of neutrinoless double $\beta$ decay when two neutrons in a nucleus decay simultaneously. (b) The fundamental diagram for changing lepton number by two units. 
doublebeta.pdf [14 KiB] HiDef png [110 KiB] Thumbnail [130 KiB] *.C file 

Feynman diagrams for $B$ decays involving an intermediate heavy neutrino ($N$). (a) $B^\rightarrow D^{(*)+}\mu^\mu^$, (b) $B^\rightarrow \pi^+(D_s^+)\mu^\mu^$, and (c) $B^\rightarrow D^0 \pi^+\mu^\mu^$. 
BMajo[..].pdf [54 KiB] HiDef png [104 KiB] Thumbnail [82 KiB] *.C file 

Invariant mass of (a) candidate $J/\psi K^$ decays, and (b) candidate $J/\psi K^\pi^+\pi^$ decays. The data are shown as the points with error bars. Both the partially reconstructed background and the combinatorial background are shown, although the combinatorial background is small and barely visible. The solid curve shows the total. In both cases the candidate $\mu^+\mu^$ is required to be within $\pm$50 MeV of the $J/\psi$ mass, and in (b) the dimuon pair is constrained to have the $J/\psi$ mass. 
B2Jpsi[..].pdf [78 KiB] HiDef png [191 KiB] Thumbnail [146 KiB] *.C file 

Invariant mass spectrum for (a) $B^\rightarrow D^+\mu^\mu^$ candidates, and (b) $B^\rightarrow D^{*+}\mu^\mu^$ candidates. The solid lines show the linear fits to the data in the mass sidebands. 
MassFitDp.pdf [63 KiB] HiDef png [114 KiB] Thumbnail [86 KiB] *.C file 

Invariant mass distribution of $\pi^+\mu^\mu^$. The estimated backgrounds are also shown. The curve is the sum of the peaking background and the combinatoric background. 
MassFitPi.pdf [60 KiB] HiDef png [185 KiB] Thumbnail [150 KiB] *.C file 

Invariant mass distribution of $\pi^+\mu^$ in the $\pm 2\sigma$ region of the $B^$ mass with both peaking and combinatorial background superimposed. The peaking background at 3100 MeV is due to misidentified $B^\rightarrow J/\psi X$ decays.There are two combinations per event. 
MassSi[..].pdf [60 KiB] HiDef png [171 KiB] Thumbnail [142 KiB] *.C file 

Majorana mass resolutions for the three $B^$ decays as a function of Majorana mass. 
Resolu[..].pdf [59 KiB] HiDef png [164 KiB] Thumbnail [213 KiB] *.C file 

Detection efficiencies for the three $B^$ decays as a function of Majorana mass. Charm meson decay branching fractions are not included. 
Overeff.pdf [60 KiB] HiDef png [181 KiB] Thumbnail [204 KiB] *.C file 

Upper limits at 95% CL as a function of the putative Majorana neutrino mass, (a) for ${\cal{B}}(B^ \rightarrow \pi^+\mu^ \mu^)$ as a function of the $\pi^+\mu^$ mass, (b) for ${\cal{B}}(B^\rightarrow D_s^+\mu^\mu^$) as a function of the $D_s^+\mu^$ mass, and (c) for ${\cal{B}}(B^\rightarrow D^0\pi^+\mu^\mu^)$ as a function of the $\pi^+\mu^$ mass. 
UpperAll.pdf [60 KiB] HiDef png [176 KiB] Thumbnail [142 KiB] *.C file 

Invariant mass spectrum for $B^\rightarrow D_s^+\mu^\mu^$ candidates. The line shows the fit to the data excluding the $B^$ mass signal region. 
MassFitDs.pdf [59 KiB] HiDef png [145 KiB] Thumbnail [134 KiB] *.C file 

Invariant mass spectrum of $D_s^+\mu^$ from $B^\rightarrow D_s^+\mu^\mu^$ events in the signal region with the background estimate superimposed (solid curve). There are two combinations per event. 
DsEsti[..].pdf [58 KiB] HiDef png [282 KiB] Thumbnail [141 KiB] *.C file 

Invariant mass distribution of $D^0\pi^+ \mu^ \mu^ $. The solid line shows a linear fit to the data in the sidebands of the $B^$ signal region. 
MassFitD0.pdf [58 KiB] HiDef png [218 KiB] Thumbnail [117 KiB] *.C file 

Invariant mass distribution of $\pi^+\mu^$ for $B^\rightarrow D^0\mu^\mu^ \pi^+$ in the signal region and with estimated background distribution superimposed. There are two combinations per event. 
MassFitD0N.pdf [58 KiB] HiDef png [255 KiB] Thumbnail [136 KiB] *.C file 

Relative efficiencies as a function of Majorana neutrino lifetime for (a) $B^\rightarrow \pi^+\mu^\mu^$ for a mass of 3 GeV, (b) $B^\rightarrow D_s^+\mu^\mu^$ for a mass of 3 GeV, and (c) $B^\rightarrow D^0\pi^+\mu^\mu^$ for a Majorana neutrino mass of 2 GeV. Where the error bars are not visible, they are smaller than radii of the points. 
Lifeti[..].pdf [105 KiB] HiDef png [70 KiB] Thumbnail [58 KiB] *.C file 

Upper limits on $V_{\mu4}^2$ at 95% CL as a function of the Majorana neutrino mass from the $B^ \rightarrow \pi^+ \mu^ \mu^$ channel. 
Constr[..].pdf [63 KiB] HiDef png [59 KiB] Thumbnail [119 KiB] *.C file 

Animated gif made out of all figures. 
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Charm and charmonium branching fractions 
Table_1.pdf [53 KiB] HiDef png [80 KiB] Thumbnail [40 KiB] tex code 

Systematic uncertainties for $B^ \rightarrow D X \mu^ \mu^$ modes. 
Table_2.pdf [57 KiB] HiDef png [106 KiB] Thumbnail [51 KiB] tex code 

Systematic uncertainties for $B^ \rightarrow \pi^+\mu^ \mu^ $ measurement. 
Table_3.pdf [47 KiB] HiDef png [62 KiB] Thumbnail [29 KiB] tex code 

Summary of upper limits on branching fractions. Both the limits on the overall branching fraction assuming a phase space decay, and the range of limits on the branching fraction as a function of Majorana neutrino mass ($M_N$) are given. All limits are at 95% CL. 
Table_4.pdf [53 KiB] HiDef png [45 KiB] Thumbnail [23 KiB] tex code 
Created on 06 March 2021.