Abstract
Precision measurements in the flavour system are a powerful tool for searches for new physics phenomena. Historically, bottom- and charm-flavour physics is performed in the clean environment of \(e^{+}e^{-}\) collider experiments. Exploiting the large \(b\bar{b}\) and \(c\bar{c}\) cross sections in \(pp\) collisions, the LHC experiments, however, impressively demonstrate their huge flavour-physics potential and have by now superseded most of the results of previous experiments. In this section we present some of the highlights of the flavour-physics programme of the LHC, give pedagogical introductions to the theoretical concepts, and interpret the experimental results.
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- 1.
- 2.
\(m(\varUpsilon (4S)) \approx 2 m(B)\).
- 3.
This results in \({10}^{9}\) fully reconstructed events of the most abundant decay channel \(D^{0} \rightarrow K^{-} \pi ^+\).
- 4.
All formulae presented for flavour-specific decays equally apply to the inclusive semileptonic decay or to exclusive decays like \(B^{0}_{q} \rightarrow D_{s}^{*-} \ell ^+ \nu _\ell \).
- 5.
17 % of all \(B^{0}_{d}\) mesons and 50 % of all \(B^{0}_{s}\) mesons oscillate before they decay.
- 6.
- 7.
Experimentally, muons are the lepton species most easily detected.
- 8.
Due to the missing neutrino energy, the reconstruction of the \(B^{0}\) mass peak is not possible.
- 9.
We explicitly ask the two kaons to come from an intermediate \(\phi \) resonance.
- 10.
The tiny contribution of \(CP\) violation in the subsequent \(K_{S}\) decay is ignored.
- 11.
\(S_{J/\psi \,K^{0}_{S} } \equiv A_{CP}^{\mathrm mix}\) and \(C_{J/\psi \,K^{0}_{S} } \equiv -A_{CP}^{\mathrm dir}\) in this notation. Additionally \(\sinh (\varDelta \varGamma _d t/2) = 0\) and \(\cosh (\varDelta \varGamma _d t/2) = 1\) due to \(\varDelta \varGamma _d = 0\).
- 12.
The two vector mesons in the final state can have a relative angular momentum of \(L = 0,1,2\). This results in two transverse and one longitudinal polarisation states contributing to this decay.
- 13.
The current contribution from flavour tagging to the systematic uncertainties on \(\phi _s\) is \(\sigma _{\phi _s}/\phi _s \approx 10\,\%\).
- 14.
Note that in case of sizeable \(CP\) violation, the two decays lead to different numerical values for \(\phi _{s}\).
- 15.
The updated result on \({3}\,{\mathrm{fb}^{-1}}\) [71] was not yet published at the time of writing of this volume.
- 16.
- 17.
The product of two terms integrated over phase space is equal to zero.
- 18.
For a complete list see [108] and references therein.
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Hansmann-Menzemer, S., Nierste, U. (2015). Quark-Flavour Physics. In: Schörner-Sadenius, T. (eds) The Large Hadron Collider. Springer, Cham. https://doi.org/10.1007/978-3-319-15001-7_8
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