CMS recent results in Heavy Flavour production and properties

Recent CMS results in the field of Heavy Flavour production and properties are reviewed. The measurement of differential prompt production cross sections of S-wave quarkonia in pp collisions at the center-of-mass energy $\sqrt{s}=13$TeV is reported since these are important for the study of the heavy-quark production mechanisms in quantum chromodynamics (QCD). The dependencies on transverse momentum and rapidity are investigated; comparisons with theory expectations and between different collision energies are provided as well. Using large data samples of dimuon events, CMS has performed detailed measurements in the area of double quarkonium production since it also provides insight into the underlying mechanism of particle production. The first observation of Y(1S) pair production has been recently performed by exploiting proton-proton collisions at $\sqrt{s}=8$ TeV. A fiducial cross section of the Y(1S) pair production is provided and, on its basis and the fraction of DPS contribution, an effective cross-section is also estimated. Finally the lifetime is one of the important observables that allows to test the theoretical tools describing the physics of heavy hadrons and plays an important role in the study of non-perturbative aspects of QCD. Precise measurements of the lifetimes of the $B^0$, $B^{0}_{s}$, $\Lambda^{0}_{b}$ and $B^{+}_{c}$ hadrons have been recently released by CMS based on the $\sqrt{s}=8$ TeV data sample. Some of the reported measurements are at the precision level of the world average for these properties.