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Measurements of prompt $\psi$(2S) meson production cross sections inproton-lead (pPb) and proton-proton (pp) collisions at a nucleon-nucleoncenter-of-mass energy of $\sqrt{s_{_\mathrm{NN}}} =$ 5.02 TeV are reported. Theresults are based on pPb and pp data collected by the CMS experiment at theLHC, corresponding to integrated luminosities of 34.6 nb$^{-1}$ and 28.0pb$^{-1}$, respectively. The nuclear modification factor $R_\mathrm{pPb}$ ismeasured for prompt $\psi$(2S) in the transverse momentum range 4 $<$p$_\mathrm{T}$ $<$ 30 GeV$/c$ and the center-of-mass rapidity range $-$2.4 $<y_\mathrm{cm} <$ 1.93. The results on $\psi$(2S) $R_\mathrm{pPb}$ are comparedto the corresponding modification factor for prompt J$/\psi$ mesons. Theresults point to different nuclear effects at play in the production of theexcited charmonium state compared to the ground state, in the region ofbackward rapidity and for p$_\mathrm{T}$ $<$ 10 GeV$/c$.

Measurement of prompt $\psi$(2S) production cross sections in proton-lead and proton-proton collisions at $\sqrt{s_{_\mathrm{NN}}} =$ 5.02 TeV