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Search for the dark photon in $$B^0 to A^{prime} A^{prime}$$, $$A^{prime} to e^+ e^-$$, $$mu^+ mu^-$$, and $$pi^+ pi^-$$ decays at Belle

Park, S.-H.*; Tanida, Kiyoshi   ; Belle Collaboration*; 217 of others*

We present a search for the dark photon $$A^{prime}$$ in the $$B^0 to A^{prime} A^{prime}$$ decays, where $$A^{prime}$$ subsequently decays to $$e^+e^-$$, $$mu^+ mu^-$$, and $$pi^+ pi^-$$. The search is performed by analyzing $$772 times 10^6$$ $$Boverline{B}$$ events collected by the Belle detector at the KEKB $$e^+ e^-$$ energy-asymmetric collider at the $$Upsilon (4S)$$ resonance. No signal is found in the dark photon mass range $$0.01~mathrm{GeV}/c^2 le m_{A^{prime}} le 2.62~mathrm{GeV}/c^2$$, and we set upper limits of the branching fraction of $$B^0 to A^{prime} A^{prime}$$ at the 90% confidence level. The products of branching fractions, $$mathcal{B}(B^0 to A^{prime} A^{prime}) times mathcal{B}(A^{prime} to e^+ e^-)^2$$ and $$mathcal{B}(B^0 to A^{prime} A^{prime}) times mathcal{B}(A^{prime} to mu^+ mu^-)^2$$, have limits of the order of $$10^{-8}$$ depending on the $$A^{prime}$$ mass. Furthermore, considering $$A^{prime}$$ decay rate to each pair of charged particles, the upper limits of $$mathcal{B}(B^0 to A^{prime} A^{prime})$$ are of the order of $$10^{-8}$$-$$10^{-5}$$. From the upper limits of $$mathcal{B}(B^0 to A^{prime} A^{prime})$$, we obtain the Higgs portal coupling for each assumed dark photon and dark Higgs mass. The Higgs portal couplings are of the order of $$10^{-2}$$-$$10^{-1}$$ at $$m_{h'} simeq m_{B^0} pm 40~mathrm{MeV}/c^2$$ and $$10^{-1}$$-$$1$$ at $$m_{h'} simeq m_{B^0} pm 3~mathrm{GeV}/c^2$$.

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Category:Physics, Particles & Fields

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