Revision of absorption corrections for the $p p \to p p π^{+} π^{-}$ process

We include new additional absorption corrections into the Lebiedowicz-Szczurek (non-resonant) model for $p p \to p p π^+ π^-$ or $p \bar p \to p \bar p π^+ π^-$ processes. They are related to the $πN$ nonperturbative interaction in the final state of the reaction. The role of the absorption corrections is quantified for several differential distributions for $\sqrt{s}$ = 0.2, 1.96, 7, and 8 TeV. The new absorption corrections lead to further decrease of the cross section by about a factor of two. They change the shape of some distributions ($d σ/ dt$, $d σ/ dp_{t,p}$, $d σ/d ϕ_{pp}$) but leave almost unchanged shape of other distributions ($d σ/ dM_{ππ}$, $d σ/ dy_π$, $d σ/dp_{t,π}$, $d σ/ d ϕ_{ππ}$). The effect may have important impact on the interpretation of the recent STAR and CDF data as well as the forthcoming data of the ALICE, ATLAS + ALFA and CMS + TOTEM collaborations.

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