Recent diffractive and exclusive results from CMS

A measurement of the exclusive and semi-exclusive production of charged pion pairs in proton-proton collisions, $pp\rightarrow p(p^{*})+ \pi^{+}\pi^{-}+ p (p^{*})$, where the $ \pi^+\pi^-$ pair is emitted at central rapidities,and the scattered protons stay intact (p) or diffractively dissociate ($p^*$) without detection is presented in these proceedings.The measurement is performed with the CMS detector at the LHC, using a data sample corresponding to an integrated luminosity of 450$\mu b^{-1}$ collected at a center-of-mass energy of 7 TeV. The dipion cross section, measured for single-pion transverse momentum $p_T > 0.2$ GeV and rapidity $\mid y\mid < 2$, is $26.5\pm0.3(stat.)\pm5.0(syst.)\pm1.1\mu b$. The differential cross sections measured as a function of the invariant mass and $p_T$ of the pion pair are compared to phenomenological predictions.