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Sensitivity to Majorana neutrinos in Delta L=2 decays of B-c meson at LHCb

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摘要

The possible existence of Majorana neutrinos can be tested through the study of processes where the total lepton number L is violated by two units (Delta L = 2). In this work, the production of an on-shell Majorana neutrino with a mass around similar to 0.2 GeV to a few GeV is studied in Delta L = 2 decays of the B-c meson. We focus on the same-sign di-muon channels: three-body B-c(-) -> pi(+)mu(-)mu(-) and four-body B-c(-) -> J/psi pi(+)mu(-)mu(-) and their experimental sensitivity at the LHCb. In both channels, we find that sensitivities on the branching fraction of the order less than or similar to 10(-7) (10(-8)) might be accessible at the LHC run 2 (future LHC run 3), allowing us to set additional and complementary constraints on the parameter space associated with the mass and mixings of the Majorana neutrino. In particular, bounds can be obtained on the mixing vertical bar V-mu N vertical bar(2) similar to O(10(-5)-10(-4)) that are similar or better that the ones obtained from heavy meson Delta L = 2 decays: D-(s)(-) -> pi(+)mu(-)mu(-) and B- -> pi(+)mu(-)mu(-)(D-0 pi(+)mu(-)mu(-)).

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