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In the Standard Model (SM) charmless hadronic decays $B_s^0 rightarrow eta^prime eta$ proceed via tree-level $bto u$ and penguin $bto s$ transitions. Penguin transitions are sensitive to Beyond-the-Standard-Model (BSM) physics scenarios and could affect the branching fractions and {it CP} asymmetries in such decays. Once branching fractions for two-body decays $B_s to etaeta, etaeta^{prime}, eta^{prime}eta^{prime} $ are measured, and the theoretical uncertainties are reduced, it would be possible to extract {it CP} violating parameters from the data using the formalism based on SU(3)/U(3) symmetry. To achieve this goal, at least four of these six branching fractions need to be measured. Only the branching fraction for $B_s^0 to eta^{prime}eta^{prime}$ has been measured so far.
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We report the results of the first search for the decay $B_s^0 rightarrow eta^prime eta$ using $121.4~textrm{fb}^{-1}$ of data collected at the $Upsilon(5S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider. We observe no significant signal and set a 90% confidence-level upper limit of %$7.1 times 10^{-5}$ $6.5 times 10^{-5}$ on the branching fraction of this decay.
A search for the charmless $B^{0}_{s} to eta^{prime}phi$ decay is performed using $pp$ collision data collected by the LHCb experiment at centre-of-mass energies of $7$ and $8$ TeV, corresponding to an integrated luminosity of 3 fb$^{-1}$. No signal is observed and upper limits on the $B^{0}_{s} to eta^{prime}phi$ branching fraction are set to $0.82times 10^{-6}$ at $90%$ and $1.01times 10^{-6}$ at $95%$ confidence level.
Based on a sample of $1.31 times 10^9$ $J/psi$ events collected with the BESIII detector, an amplitude analysis of the isospin-violating decays $eta^prime rightarrow pi^+pi^-pi^0$ and $eta^prime rightarrow pi^0pi^0pi^0$ is performed. A significant $P$-wave contribution from $eta^prime rightarrow rho^{pm} pi^{mp}$ is observed for the first time in $eta^prime rightarrow pi^+pi^-pi^0$. The branching fraction is determined to be ${mathcal B}(eta^prime rightarrow rho^{pm}pi^{mp})=(7.44pm0.60pm1.26pm1.84)times 10^{-4}$, where the first uncertainty is statistical, the second systematic, and the third model dependent. In addition to the nonresonant $S$-wave component, there is a significant $sigma$ meson component. The branching fractions of the combined $S$-wave components are determined to be ${mathcal B}(eta^prime rightarrow pi^+pi^-pi^0)_S=(37.63pm0.77pm2.22pm4.48)times 10^{-4}$ and ${mathcal B}(eta^prime rightarrow pi^0pi^0pi^0)=(35.22pm0.82pm2.54)times 10^{-4}$, respectively. The latter one is consistent with previous BESIII measurements.
An experimental study of the $etato pi^0pi^0eta to 6gamma$ decay has been conducted with the best up-to-date statistical accuracy, by measuring $eta$ mesons produced in the $gamma p to eta p$ reaction with the A2 tagged-photon facility at the Mainz Microtron, MAMI. The results obtained for the standard parametrization of the $etato pi^0pi^0eta$ matrix element are consistent with the most recent results for $etatopipieta$ decays, but have smaller uncertainties. The available statistics and experimental resolution allowed, for the first time, an observation of a structure below the $pi^+pi^-$ mass threshold, the magnitude and sign of which, checked within the framework of the nonrelativistic effective-field theory, demonstrated good agreement with the cusp that was predicted based on the $pipi$ scattering length combination, $a_0-a_2$, extracted from $K to 3pi$ decays.
A search is performed for the as yet unobserved baryonic $Lambda_b rightarrow Lambda eta^prime$ and $Lambda_b rightarrow Lambda eta$ decays with 3$fb^{-1}$ of proton-proton collision data recorded by the LHCb experiment. The $B^0 rightarrow K_S^0 eta^prime$ decay is used as a normalisation channel. No significant signal is observed for the $Lambda_b rightarrow Lambda eta^prime$ decay. An upper limit is found on the branching fraction of $mathcal{B}(Lambda_b rightarrow Lambda eta^prime)<3.1times10^{-6}$} at 90% confidence level. Evidence is seen for the presence of the $Lambda_b rightarrow Lambda eta$ decay at the level of $3sigma$ significance, with a branching fraction $mathcal{B}(Lambda_b rightarrow Lambda eta)=(9.3^{+7.3}_{-5.3})times10^{-6}$}.
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