By Valentin Knünz
This thesis discusses intimately the dimension of the polarizations of all S-wave vector quarkonium states in LHC proton-proton collisions with the CMS detector. Heavy quarkonium states represent an incredible laboratory to check non-perturbative results of quantum chromodynamics and to appreciate how quarks bind into hadrons.
The experimental effects are interpreted via an unique phenomenological process, which results in a coherent photo of quarkonium construction move sections and polarizations inside of an easy version, ruled through one unmarried color-octet construction mechanism. those findings supply new insights into the dynamics of heavy quarkonium construction on the LHC, an incredible step in the direction of a passable realizing of hadron formation in the common version of particle physics.
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Extra resources for Measurement of Quarkonium Polarization to Probe QCD at the LHC
Status of NRQCD Calculations Full NRQCD calculations exist at LO in αs and NLO, for various quarkonium states, CS and CO channels, collision systems, kinematic regions and center-of-mass energies. The ones relevant for this work can be found in Refs. [19, 22–27]. 4 shows dominant LO diagrams for the hadroproduction of 1−− quarkonia for the 3 S1 CS channel (left), the dominating gluon fragmentation diagram for the 3 S1 CO channel (middle), and a LO diagram for the 1 S0 and 3 PJ CO channels (right).
The J/ψ and ϒ(nS) cross sections for CS NNLO* calculations do not describe the data, which are systematically above the calculations. The CS NNLO* polarizations are similar to the CS NLO calculations, but slightly more longitudinal. Therefore, these calculations cannot describe the mostly unpolarized CDF J/ψ data. However, this comparison is not entirely fair given that the CS NNLO* calculations do not include feed-down decays. Nevertheless, the CS NNLO* calculations supported the idea that CO contributions are indeed necessary to explain quarkonium production data.
7 Prompt J/ψ (left) and ψ(2S) (right) polarization parameter λϑ measured in the HX frame by the CDF Collaboration , compared to LO NRQCD calculations  a success in the sense that the production cross sections of different collision systems could be reproduced simultaneously, hinting at the validity of the universality claim of the NRQCD factorization approach. However, the predicted J/ψ polarization was very similar to the LO predictions, almost fully transverse in the HX frame, especially at high pT .
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