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Jet Physics at the LHC pp 3–60Cite as

Theoretical Framework

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Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 268))

Abstract

Jet physics, in particular at a hadron collider such as the LHC, cannot be understood without being thoroughly familiar with the theory of the strong interaction: quantum chromodynamics or short QCD. The material presented in this chapter is intended to provide the required proficiency to comprehend experimental and phenomenological publications on the subject of jet physics, some of which will be discussed in detail in the later chapters of this book.

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Notes

  1. 1.

    The use of the unit “barn” goes back to December 1942, when it was introduced during wartime by M.G. Holloway and C.P. Baker. Because of its connection to nuclear physics this information was classified until 1948 [1].

  2. 2.

    Supposing there ought to be four constituents in analogy to the four leptons, e, \(\mu \), \(\nu _e\), and \(\nu _\mu \), known in 1963, Zweig dubbed them aces, but the name did not stick.

  3. 3.

    The name “gluon” initially was introduced by Gell-Mann in a slightly different context without reference to colour [23].

  4. 4.

    References in this book have been managed with the help of JabRef [29].

  5. 5.

    PDG: http://pdg.web.cern.ch/pdg.

    Further useful resources for data, programmes, etc. are:

    HepData: http://durpdg.dur.ac.uk/HepData,

    HepForge: http://www.hepforge.org/.

  6. 6.

    A Hermitian matrix \(\mathbf {A}\) is equal to its complex conjugate transpose, i.e. \(\mathbf {A} =\mathbf {A} ^{*T}=\mathbf {A} ^\dag \).

  7. 7.

    Feynman diagrams in this book have been drawn with the help of JaxoDraw [52].

  8. 8.

    Recall that \(\hbar c = 1\) in natural units roughly corresponds to 200 MeV/fm.

  9. 9.

    The subscript “+” indicates the use of the plus prescription defined via the distribution \(\int _0^1 \frac{f(x)}{(1-x)}_+\mathrm {d}x = \int _0^1 \frac{(f(x)-f(1))}{(1-x)}\mathrm {d}x\) for any sufficiently smooth function f.

  10. 10.

    This should not be confused with the luminosity, which is a characteristic of a collider.

  11. 11.

    Of course, azimuthal angular separations are delimited to the interval \((-\pi ,+\pi ]\).

  12. 12.

    \(m_\mathrm {charm}^{\overline{\text {MS}}}=1.275\,\mathrm{GeV} \), \(m_\mathrm {bottom}^{\overline{\text {MS}}}=4.18\,\mathrm{GeV} \) [28].

  13. 13.

    HERAFitter recently was renamed to xFitter.

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    Klaus Rabbertz

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Rabbertz, K. (2017). Theoretical Framework. In: Jet Physics at the LHC. Springer Tracts in Modern Physics, vol 268. Springer, Cham. https://doi.org/10.1007/978-3-319-42115-5_2

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