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      Nonperturbative and spin effects in the central exclusive production of tensor \(\chi_c(2^+)\) meson

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          Abstract

          We discuss central exclusive production (CEP) of the tensor \(\chi_c(2^{+})\) meson in proton-(anti)proton collisions at Tevatron, RHIC and LHC energies. The amplitude for the process is derived within the \(k_t\)-factorisation approach. Differential and total cross sections are calculated for several unintegrated gluon distributions (UGDFs). We compare exclusive production of all charmonium states \(\chi_c(0^+),\,\chi_c(1^+)\) and \(\chi_c(2^+)\). Equally good description of the recent Tevatron data is achieved both with Martin-Ryskin phenomenological UGDF and UGDF based on unified BFKL-DGLAP approach. Unlike for Higgs production, the main contribution to the diffractive amplitude of heavy quarkonia comes from nonperturbative region of gluon transverse momenta \(Q_{\perp}<1\,\GeV\). At \(y \approx\) 0, depending on UGDF we predict the contribution of \(\chi_c(1^+,2^+)\) to the \(J/\Psi + \gamma\) channel to be comparable or larger than that of the \(\chi_c(0^+)\) one. This is partially due to a significant contribution from lower polarization states \(\lambda=0\) for \(\chi_c(1^+)\) and \(\lambda=0,\,\pm 1\) for \(\chi_c(2^+)\) meson. Corresponding theoretical uncertainties are discussed.

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          Tensor Meson Production in Proton-Proton Collisions from the Color Glass Condensate

          We compute the inclusive cross-section of \(f_{2}\) tensor mesons production in proton-proton collisions at high-energy. We use an effective theory inspired from the tensor meson dominance hypothesis that couples gluons to \(f_{2}\) mesons. We compute the differential cross-section in the \(k_{\perp}\)-factorization and in the Color Glass Condensate formalism in the low density regime. We show that the two formalisms are equivalent for this specific observable. Finally, we study the phenomenology of \(f_{2}\) mesons by comparing theoretical predictions of different parameterizations of the unintegrated gluon distribution function. We find that \(f_{2}\)-meson production is another observable that can be used to put constraints on these distributions.
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            Author and article information

            Journal
            21 December 2009
            2010-10-14
            Article
            10.1103/PhysRevD.81.034024
            0912.4251
            77860efb-c0ef-48db-8ddf-7ce1edc6ad9e

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            History
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            Phys.Rev.D81:034024,2010
            18 pages, 12 figures, discrepancies with Durham group results clarified, numerics corrected, basic conclusions unchanged, acknowledgements added
            hep-ph

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