XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Azar Ahmadov

Higher-Twist Mechanism and Inclusive pion pairs Production in Proton-Antiproton Collisions

\affiliation {$^{1}$ Department
of Theoretical Physics, Baku State University, Z. Khalilov st. 23,
AZ-1148, Baku, Azerbaijan} \affiliation {$^{2}$ Department of
Physics, Karadeniz Technical University, 61080, Trabzon, Turkey}

We calculate the contribution of the higher-twist Feynman diagrams
to the large-$p_T$ inclusive pion pairs production cross section in proton-antiproton
collisions $p\overline{p} \to \pi^{+}\pi^{-} X$ with the two pions emitted bacb to back at $90^{\circ}$ in case of the running coupling and frozen coupling approaches within perturbative and holographic QCD. The structure of infrared renormalon singularities of the higher-twist subprocess cross section are obtained and the resummed higher-twist cross sections (Borel sum) with the ones obtained in the framework of the frozen coupling approach and leading-twist cross section are compared and analyzed. Infrared renormalon induced divergence is regularized by means of the principal value prescription. The contributions of the renormalon effects in this process are essential.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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