Bose-Einstein correlations in $pp,p\mathrm{Pb}$, and PbPb collisions at $\sqrt{{s}_{NN}}=0.9–7$ TeV

Quantum-statistical (Bose-Einstein) two-particle correlations are measured in $pp$ collisions at $\sqrt{s}=0.9$, 2.76, and 7 TeV, as well as in $p\mathrm{Pb}$ and peripheral PbPb collisions at nucleon-nucleon center-of-mass energies of 5.02 and 2.76 TeV, respectively, using the CMS detector at the Large Hadron Collider. Separate analyses are performed for same-sign unidentified charged particles as well as for same-sign pions and kaons identified via their energy loss in the silicon tracker. The characteristics of the one-, two-, and three-dimensional correlation functions are studied as functions of the pair average transverse momentum (${k}_{T}$) and the charged-particle multiplicity in the event. For all systems, the extracted correlation radii steadily increase with the event multiplicity, and decrease with increasing ${k}_{T}$. The radii are in the range 1–5 fm, the largest values corresponding to very high multiplicity $p\mathrm{Pb}$ interactions and to peripheral PbPb collisions with multiplicities similar to those seen in $p\mathrm{Pb}$ data. It is also observed that the dependencies of the radii on multiplicity and ${k}_{T}$ largely factorize. At the same multiplicity, the radii are relatively independent of the colliding system and center-of-mass energy.