Abstract
Rare two-body decays of the top quark into a neutral bottom-quark meson plus an up- or charm-quark: \( t\to {\overline{B}}^0+u,\kern0.5em c;t\to {\overline{B}}_s^0+c,\kern0.5em u \); and t → ϒ(nS) + c, u, are studied for the first time. The corresponding partials widths are computed at leading order in the non-relativistic QCD framework. The sums of all two-body branching ratios amount to \( \mathrm{\mathcal{B}}\left(t\to {\overline{B}}^0+\mathrm{jet}\right)\approx \mathrm{\mathcal{B}}\left(t\to {\overline{B}}_s^0+\mathrm{jet}\right)\approx 4.2\cdot {10}^{-5} \) and ℬ(t → ϒ(nS) + jet) ≈ 2 ⋅ 10−9, respectively. The feasibility to observe the \( t\to {\overline{B}}_{(s)}^0+ \) jet decay is estimated in top- pair events produced in proton-proton collisions at \( \sqrt{s} \) = 14, 100 TeV at the LHC and FCC, respectively. Combining many exclusive hadronic \( {\overline{B}}_{(s)}^0 \) decays, with J/ψ or D0,± final states, about 50 (16 000) events are expected in 3 (20) ab−1 of integrated luminosity at the LHC (FCC), after typical selection criteria, acceptance, and efficiency losses. An observation of the two-body top-quark decay can also be achieved in the interesting t → b(jet) + c(jet) dijet final state, where the \( {\overline{B}}_{(s)}^0 \) decay products are reconstructed as a jet, with 5 300 and 1.4 million signal events above backgrounds expected after selection criteria at the LHC and FCC, respectively. Such unique final states provide a new direct method to precisely measure the top-quark mass via simple 2-body invariant mass analyses.
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d’Enterria, D., Shao, HS. Rare two-body decays of the top quark into a bottom meson plus an up or charm quark. J. High Energ. Phys. 2020, 127 (2020). https://doi.org/10.1007/JHEP07(2020)127
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DOI: https://doi.org/10.1007/JHEP07(2020)127