CMS Heavy Flavor spectroscopy and exotica

In the last 13 years the discovered quarkonium-like states have renewed the interest in hadron spectroscopy and the LHC experiments are highly contributing to this field.Two relevant contributions by the CMS Collaboration to the exotic heavy flavour spectroscopy are discussed.The first study concerns the production of the $X(3872)$, either prompt or from beauty hadron decays. The cross-section ratio of the $X(3872)$ with respect to the $\psi(2S)$ in the $J/\psi \pi \pi$ decay channel and the fraction of $X(3872)$ coming from \textit{B}-hadron decays are measured as a function of transverse momentum ($p_{T}$), covering unprecedentedly high values of $p_{T}$. Moreover the prompt $X(3872)$ cross section times branching fraction is extracted differentially in $p_{T}$, for the first time in central rapidity region, and compared to the theoretical predictions available. Finally the dipion invariant mass spectrum of the $J/\psi \pi \pi$ system, in the $X(3872)$ decay, is also investigated.The second study concerns the study of the $B^{+} \rightarrow J/\psi \phi K^{+}$ decays.A peaking structure in the $J/\psi \phi$ invariant mass spectrum is observed near the kinematic threshold and evidence for an additional peaking structure at higher $J/\psi \phi$ mass is also reported.Fitting the first structure by means of an S-wave relativistic Breit-Wigner line shape above a three-body phase-space component, representing the residual non-resonant background after background subtraction, provides a signal statistical significance exceeding five standard deviations.The fitted mass and width values are $m = 4148.0 \pm2.4 \mathrm{(stat.)} \pm6.3 \mathrm{(syst.)}$ MeV and $\Gamma = 28^{+15}_{-11}\mathrm{(stat.)} \pm19 \mathrm{(syst.)}$ MeV, respectively. This study is a confirmation of the $Y(4140)$ state discovered by the CDF Collaboration. A preliminary study of possible reflections indicates that this peaking structure, unlike the additional one, may be not correlated with an excess, with respect to the pure phase-space profile, appreciated in the region of the $\phi K^{\pm}$ mass spectrum where a couple of interfering large resonances might appear.However understanding the nature of these peaking structures would require a proper full amplitude analysis that can be performed only extending the study to the full available data sample.