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CMS-PAS-BPH-25-009
Observation of a peaking structure in the $ \Upsilon(1S) \phi(1020) $ channel in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
Abstract: The $ \Upsilon(1S) \phi(1020) $ invariant mass spectrum is investigated with an event sample of proton-proton collisions at $ \sqrt{s}= $ 13 TeV, collected by the CMS experiment at the LHC in 2016--2018 and corresponding to an integrated luminosity of 140 fb$^{-1}$. A peaking structure is observed at a $ \Upsilon(1S) \phi(1020) $ invariant mass of $ M_{\Upsilon\phi} = 10, $ 512.60 $ \pm $ 0.21 (stat) $ \pm $ 0.20 (syst) $ \pm 0.11\;(M_{\Upsilon}) \text{MeV} $, where the last uncertainty reflects the precision of the world-average determination of the $ \Upsilon(1S) $ meson mass. The width of this structure is consistent with the instrumental mass resolution, as estimated from simulation. While the mass measurement in this hadronic decay mode is consistent with the current measurement of $ \chi_{b1}{3P} $ mass, obtained from the analysis of the radiative decay to $ \Upsilon(3S)\gamma $, a possible exotic interpretation of the observed structure, such as a four-quark $ b\bar{b}s\bar{s} $ state or a hybrid state, cannot be excluded, since the well-established $ \chi_{b2}{3P} $ partner is not seen in this channel with the present data.
Figures Summary References CMS Publications
Figures

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Figure 1:
The $ K^{+}K^{-} $ invariant mass for the $ \Upsilon KK $ candidates, within a $ \pm $ 4.8 MeV window around the mass value of the $ \Upsilon \phi $ peak, is presented with the fit result (and its components) superimposed. The $ \phi $ signal is modelled with a Voigtian function where the mass resolution is fixed at the value (1.21 MeV) obtained by simulation studies. The fit estimates a mass value 1019.35 $ \pm $ 0.26 MeV consistent with the PDG average of the $ \phi $ meson ( 1019.46 $ \pm $ 0.02 MeV), and a natural width value ( 4.11 $ \pm $ 1.17 MeV) consistent with the PDG average ( 4.24 $ \pm $ 0.01 MeV) as well.

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Figure 2:
The $ \Upsilon KK $ invariant mass distribution in data (black points with error bars) when $ |M(\mathrm{K^+} \mathrm{K^-})-m_{\phi}^{\text{PDG}}| < $ 6.15 MeV. The fit result (solid blue line) is superimposed and is a sum of two components, the signal (dashed red line) and the background (long-dashed green line). The details of the fit model are described in the main text. The lower panel shows the pull distribution, defined as the difference between the data and the fit value in each bin, divided by the combined uncertainty.

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Figure 3:
The $ \Upsilon KK $ invariant mass distribution in data (black points with error bars) when $ |M(\mathrm{K^+} \mathrm{K^-})-m_{\phi}^{\text{PDG}}| < $ 6.15 MeV and, additionally, the $ \Upsilon{\textrm{(2S)}} $-veto is applied on the top of the selection criteria discussed in the main text. The model of the superimposed fit includes two Gaussian functions for two signals with means fixed and the two widths fixed at the values of the mass resolutions estimated from simulation. The yield of the observed signal is also fixed to the value estimated in a fit without the possible second signal so that, in this fit, only the yield of the second possible signal is left free to vary in the two-states signal model. Consequently the statistical significance of the second possible signal is estimated to be slightly above 1 standard deviation.
Summary
In summary, a peaking structure with an estimated yield of $450 \pm 59$ candidates and the mass of $10,512.60 \pm 0.21$ (stat) $ \pm 0.20$ (syst) $\pm 0.11 (M_{\Upsilon})$ MeV, where the last uncertainty is associated to the use of the ${\Upsilon}P{1S}$ mass [49] as kinematic constraint in the vertex fit, has been observed by investigating the ${\Upsilon}P{1S}K^+K^-$ invariant mass spectrum with the dikaon invariant mass within a narrow window around the $\phi$ meson. The observation is based on proton-proton collision data collected by the CMS experiment at $\sqrt{s} = 13$ TeV during 2016--2018. The width of the observed peak is compatible with the instrumental mass resolution, and its mass is compatible within 1.5 standard deviations with the mass for the bottomonium excited state $\chi_{b1}{3P}$ of $10,513.42 \pm 0.41$ (stat) $ \pm 0.18$ (syst) MeV measured in its radiative decays [11]. Assuming the observed peaking structure is the $\chi_{b1}{3P}$ state, the local statistical significance of the signal is estimated to exceed 10 standard deviations. However, the absence of a statistically significant signal for the $\chi_{b2}$ spin-2 partner in the same channel, despite the expectations of a similar rate for the two processes (or at least a not strongly suppressed spin-2 partner), may suggest an alternative nonconventional interpretation of the observed signal as a new exotic state. Thus, whereas the identification with $\chi_{b1}{3P}$ seems plausible, no definitive conclusion about the nature of this resonance can be drawn with the analysed data.
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