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We discuss how to extract the pomeron-pomeron-$f_2(1270)$ ($\mathbb{P}\mathbb{P} f_2(1270)$) coupling within the tensor-pomeron model. The general$\mathbb{P} \mathbb{P} f_2(1270)$ coupling is a combination of seven basiccouplings (tensorial structures). To study these tensorial structures wepropose to measure the central-exclusive production of a $\pi^+ \pi^-$ pair inthe invariant mass region of the $f_2(1270)$ meson. An analysis of angulardistributions in the $\pi^+ \pi^-$ rest system, using the Collins-Soper (CS)and the Gottfried-Jackson (GJ) frames, turns out to be particularly relevantfor our purpose. For both frames the $\cos\theta_{\pi^{+}}$ and$\phi_{\pi^{+}}$ distributions are discussed. We find that the azimuthal angledistributions in these frames are fairly sensitive to the choice of the$\mathbb{P} \mathbb{P} f_2$ coupling. We show results for the resonance casealone as well as when the dipion continuum is included. We show the influenceof the experimental cuts on the angular distributions in the context ofdedicated experimental studies at RHIC and LHC energies. Absorption correctionsare included for our final distributions.

Extracting the pomeron-pomeron-$f_{2}(1270)$ coupling in the $p p \to p p \pi^{+} \pi^{-}$ reaction through angular distributions of the pions