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 a fantastic 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 procedure, which ends up in a coherent photo of quarkonium construction move sections and polarizations inside of an easy version, ruled by means of one unmarried color-octet creation mechanism. those findings offer new insights into the dynamics of heavy quarkonium construction on the LHC, a huge step in the direction of a passable realizing of hadron formation in the common version of particle physics.
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Additional resources for Measurement of Quarkonium Polarization to Probe QCD at the LHC
The definitions of the polar angle ϑ and azimuthal angle ϕ are shown in Fig. 9 (top). The decay angles are defined as the angles of the positive lepton with respect to the reference frame, whose x-z plane is defined by the production plane (bottom left), built by joining the momentum vector of the quarkonium state with the momentum vector of the colliding beams (b1c and b2c ), in the laboratory frame. The y axis is defined to be perpendicular to the production plane, in the direction of b1r × b2r and b2r × b1r , with b1r and b2r defined in the quarkonium rest frame, for positive and negative rapidities, respectively.
Phys Rev Lett 112:222002 32 2 Quarkonium Physics 11. Gell-Mann M (1964) A schematic model of baryons and mesons. Phys Lett 8:214 12. Matsui T, Satz H (1986) J/ψ suppression by quark-gluon plasma formation. Phys Lett B 178:416 13. Digal S, Petreczky P, Satz H (2001) Quarkonium feed-down and sequential suppression. Phys Rev D 64:094015 14. Braun-Munzinger P, Stachel J (2000) (Non)thermal aspects of charmonium production and a new look at J/ψ suppression. Phys Lett B 490:196 15. Bodwin GT, Petriello F, Stoynev S, Velasco M (2013) Higgs boson decays to quarkonia and the H c¯ c coupling.
3 Ambiguity of Pre-LHC Quarkonium Polarization Measurements The importance of following this methodology can be shown on the basis of the prompt J/ψ polarization analysis from CDF , which is shown in the left panel of Fig. 7. This measurement has been conducted before the development of the methodology as described in this section. Consequentially, the analysis was performed integrating over the azimuthal component of the decay, only providing the parameter λϑ , only in the HX frame, neither providing information about the ˜ which azimuthal anisotropy, nor providing frame-invariant information through λ, was not known at the time of the measurement.