Production of $f_2(1270)$ meson in $pp$ collisions at the LHC via gluon-gluon fusion in the $k_t$-factorization approach

Abstract

We calculate inclusive cross section for $f_2(1270)$ tensor meson production via color singlet gluon-gluon fusion in the $k_t$-factorization approach with unintegrated gluon distribution functions (UGDFs). The process may be potentially interesting in the context of searches for saturation effects. The energy-momentum tensor, equivalent to helicity-2 coupling, and helicity-0 coupling are used for the $g^{\ast }{g}^{\ast }\to f_2(1270)$ vertex. Two somewhat different parametrizations of helicity-2 and helicity-0 tensorial structure from the literature are used in our calculations. Some parameters are extracted from $\gamma \gamma \to f_2(1270)\to \pi \pi$ reactions. Different modern UGDFs from the literature are used. The results strongly depend on the parametrization of the $g^{\ast }{g}^{\ast }\to f_2(1270)$ form factor. Our results for transverse momentum distributions of $f_2$ are compared to preliminary ALICE data. We can obtain agreement with the data only at larger $f_2(1270)$ transverse momenta only for some parametrizations of the $g^{\ast }{g}^{\ast }\to f_2(1270)$ form factor. No obvious sign of the onset of saturation is possible. At low transverse momenta one needs to include also the $\pi \pi$ final-state rescattering. The agreement with the ALICE data can be obtained by adjusting probability of formation and survival of $f_2(1270)$ in a harsh quark-gluon and multipion environment. The pomeron-pomeron fusion mechanism is discussed in addition and results are quantified.

arXiv comment16 pages, 8 figures, second version contains important modifications with respect to the first one, two references were added

References in corpus (37)

• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Unintegrated parton distributions
• The CCFM Monte Carlo generator CASCADE 2.2.0
• Measurement of the total cross section from elastic scattering in $pp$ collisions at $\sqrt{s}=7$ TeV with the ATLAS detector
• Neutral pion and $\eta$ meson production in proton-proton collisions at $\sqrt{s}=0.9$ TeV and $\sqrt{s}=7$ TeV
• rho^0 Production and Possible Modification in Au+Au and p+p Collisions at sqrt(s_NN) = 200 GeV
• Transverse momentum dependent gluon density from DIS precision data
• NLO prescription for unintegrated parton distributions
• Unintegrated parton distributions and electroweak boson production at hadron colliders
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Diffractive parton distributions from the saturation model
• Meson--photon transition form factors and resonance cross-sections in e^+ e^- collisions
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• Study of ${\pi }^0$ pair production in single-tag two-photon collisions
• On the role of heavy flavor parton distributions at high energy colliders
• Light-by-light scattering sum rules constraining meson transition form factors
• A Model for Soft High-Energy Scattering: Tensor Pomeron and Vector Odderon
• Amplitude Analysis of High Statistics Results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$ and the Two Photon Width of Isoscalar States
• Exclusive central diffractive production of scalar and pseudoscalar mesons; tensorial vs. vectorial pomeron
• Central exclusive diffractive production of ${\pi }^{+}{\pi }^{-}$ continuum, scalar and tensor resonances in $pp$ and $p\bar{p}$ scattering within tensor pomeron approach
• Hard scale dependent gluon density, saturation and forward-forward dijet production at the LHC
• Consistent treatment of charm production in higher-orders at tree-level within $k_T$-factorization approach
• Hadroproduction of scalar $P$-wave quarkonia in the light-front $k_T$-factorization approach
• $J/\psi$-meson production within improved color evaporation model with the $k_T$-factorization approach for $c\bar{c}$ production
• Hard Exclusive Production of Tensor Mesons
• Exclusive tensor meson photoproduction
• Prompt ${\eta }_c$ meson production at the LHC in the NRQCD with $k_T$-factorization
• Prompt inclusive production of $J/\psi$, ${\psi }^{\prime }$ and ${\chi }_c$ mesons at the LHC in forward directions within the NRQCD $k_t$-factorization approach - search for the onset of gluon saturation
• Alternative Size and Lifetime Measurements for High-Energy Heavy-Ion Collisions
• Electroproduction of tensor mesons in QCD
• Extracting the pomeron-pomeron-$f_2(1270)$ coupling in the $pp\to pp{\pi }^{+}{\pi }^{-}$ reaction through angular distributions of the pions
• Production of $f_0(980)$ meson at the LHC: Color evaporation versus color-singlet gluon-gluon fusion
• Study of the $f_2(1270)$ and $a_2(1320)$ resonances in ${\gamma }^{\ast }(Q^2)\gamma$ collisions
• Tensor Meson Production in Proton-Proton Collisions from the Color Glass Condensate
• Exclusive central diffractive production of scalar, pseudoscalar and vector mesons
• Shapes and Sizes from Non-Identical-Particle Correlations

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