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Double prompt $J/psi$ hadroproduction in the parton Reggeization approach with high-energy resummation

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 Added by Bernd Kniehl
 Publication date 2019
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and research's language is English




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We study double prompt $J/psi$ hadroproduction within the nonrelativistic-QCD factorization formalism adopting the parton Reggeization approach to treat initial-state radiation in a gauge invariant and infrared-safe way. We present first predictions for the cross section distributions in the transverse momenta of the subleading $J/psi$ meson and the $J/psi$ pair. Already at leading order in $alpha_s$, these predictions as well as those for the total cross section and its distributions in the invariant mass $m_{psipsi}$ and the rapidity separation $|Y|$ of the $J/psi$ pair nicely agree with recent ATLAS and CMS measurements, except for the large-$m_{psipsi}$ and large-$|Y|$ regions, where the predictions substantially undershoot the data. In the latter regions, BFKL resummation is shown to enhance the cross sections by up to a factor of two and so to improve the description of the data.



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The hadroproduction of the radially excited heavy-quarkonium states $psi(2S)$ and $Upsilon(3S)$ at high energies is studied in the parton reggeization approach and the factorization formalism of nonrelativistic QCD at lowest order in the strong-coupling constant $alpha_s$ and the relative heavy-quark velocity $v$. A satisfactory description of the $psi(2S)$ transverse-momentum ($p_T$) distributions measured by ATLAS, CMS, and LHCb at center-of-mass energy $sqrt{S}=7$ TeV is obtained using the color-octet long-distance matrix elements (LDMEs) extracted from CDF data at $sqrt{S}=1.96$ TeV. The importance of the fragmentation mechanism and the scale evolution of the fragmentation functions in the upper $p_T$ range, beyond 30 GeV, is demonstrated. The $Upsilon(3S)$ $p_T$ distributions measured by CDF at $sqrt{S}=1.8$ TeV and by LHCb at $sqrt{S}=7$ TeV and forward rapidities are well described using LDMEs fitted to ATLAS data at $sqrt{S}=7$ TeV. Comparisons of polarization measurements by CDF and CMS at large $p_T$ values with our predictions consolidate the familiar problem in the $psi(2S)$ case, but yield reasonable agreement in the $Upsilon(3S)$ case.
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