Abstract
As explained in Chap. 1, the theory of QCD is able to explain a wide collection of phenomena in particle physics, initiated by strong interactions between partons and consisting in final states of hadronic jets. Many QCD predictions concerning deep inelastic scattering of electron beams colliding on protons and jet physics give a good agreement over a large number of measurements.
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Notes
- 1.
In a lepton-hadron collision, this formalism is still valid but only one parton density function is obviously included.
- 2.
The renormalization scale is an arbitrary parameter introduced in the theory to treat divergences appearing in loop diagrams.
- 3.
These observables are chosen because they are experimentally accessible down to low \(p_\mathrm{{T}}\) and easy to measure with a tracking system.
- 4.
By separating them in the region with higher and lower activity, it is possible to disentangle even further the UE components.
- 5.
Also a UE measurement in \(b\bar{b}\) pair events is planned in the CMS collaboration and studies at the generator level have been performed [28].
- 6.
Events with a higher number of additional interactions might be also considered and they are thus called “Triple, Quartic, .. Parton Scattering” but their contribution becomes very small. In this work, only the actual DPS will be treated.
- 7.
For instance, in particular scenarios with large spin correlations between the initial-state partons, a modulation on the relative azimuthal angle of the final-state partons appears, while the inclusion of colour correlation adds extra colour factors to the DPS cross section which would change its absolute contribution.
- 8.
A brief description of the main features used is given here for every generator. More information can be found in the quoted references.
- 9.
This is why it is not just LLA but approximate NNL.
- 10.
A wider treatment is given in Appendix D, where results of new UE tunes are described.
- 11.
This formalism uses the same concept of the Sudakov form factor in the parton evolution framework.
- 12.
In particular, if the hard scattering occurs at a scale \(p_\mathrm{{T}_1}\), either a secondary hard interaction or a hard emission from an initial parton take place at the scale \(p_\mathrm{{T}_2}\) \(<\) \(p_\mathrm{{T}_1}\).
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Gunnellini, P. (2016). A Hadronic Collision. In: Study of Double Parton Scattering Using Four-Jet Scenarios. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-22213-4_2
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