Abstract:The production cross-section of J/ψ pairs is measured using a data sample of pp collisions collected by the LHCb experiment at a centre-of-mass energy of √ s = 13 TeV, corresponding to an integrated luminosity of 279 ±11 pb −1 . The measurement is performed for J/ψ mesons with a transverse momentum of less than 10 GeV/c in the rapidity range 2.0 < y < 4.5. The production cross-section is measured to be 15.2 ± 1.0 ± 0.9 nb. The first uncertainty is statistical, and the second is systematic. The differential cross-sections as functions of several kinematic variables of the J/ψ pair are measured and compared to theoretical predictions.Keywords: Hadron-Hadron scattering (experiments), Particle and resonance production, proton-proton scattering, QCD, Quarkonium The LHCb collaboration 33
IntroductionThe production mechanism of heavy quarkonia is a long-standing and intriguing problem in quantum chromodynamics (QCD), which is not fully understood even after over forty years of study. The colour-singlet model (CSM) [1-10] assumes the intermediate QQ state to be colourless and to have the same J P C quantum numbers as the final quarkonium state. Leading-order calculations in the CSM underestimate the J/ψ and ψ(2S) production cross-sections at high transverse momentum, p T , by more than one order of magnitude [11]. The gap between CSM predictions and experimental measurements is reduced when including next-to-leading-order corrections, but the agreement is still not satisfactory [12][13][14]. The non-relativistic QCD (NRQCD) model takes into account both colour-singlet (CS) and colour-octet (CO) states of the QQ pair [15][16][17]. It either describes the production cross-sections and polarisations at large p T or it describes the production cross-section at all p T values, but then fails to predict the polarisation [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. This puzzle can be probed via the production of pairs of quarkonia [34][35][36][37][38][39], where the interpretation of the measured cross-section could be simpler. In quarkonium-pair production, the selection rules in the CS process of leading-order (LO) NRQCD forbid the feed-down from cascade decays of excited C-even states. This feed-down from C-even states, e.g. χ c → J/ψ γ or χ b → Υ γ, plays an important role in single quarkonium production. It significantly complicates the precise comparison between data and model predictions, and makes the interpretation of polarisation measurements difficult. Besides the single parton scattering (SPS) process, the process of double parton scattering (DPS) can also contribute to quarkonium pair production. The DPS process is of great -1 -