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Part of the book series: Springer Theses ((Springer Theses))

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Abstract

Since jets are key ingredients for measurements at hadron colliders, the evaluation of their performance is particularly relevant for physics analyses. The two key quantities that are input to physics analyses are the jet energy and transverse momentum response and resolution. The jet energy response and resolution are respectively connected to the mean and the width of the distribution of the energies of a jet originating from an object whose true energy is within a given (narrow) range. Jet calibration techniques such as those described in Chap. 6 are designed to restore the jet energy scale and could help to reduce the fluctuation in the reconstructed jet energy.

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Notes

  1. 1.

    Most effects mentioned here lead to a Gaussian distribution of the jet response, but some contribute to its tails. As a first iteration, most techniques used to estimate the jet energy resolution are mainly directed towards the measurement of the Gaussian width of the jet response distribution.

  2. 2.

    It can be shown that the fractional jet \(p_T\) resolution in Monte Carlo can be approximated by the Gaussian width of the \(p_T\) response distribution \(\mathcal R \) as in a given \((p_T^{true}, \eta )\) bin and dividing it by the mean response using the assumption of narrow \(p_T^{true}\) bins.

  3. 3.

    A similar procedure can also be used to estimate the resolution of jets in different rapidity regions, if the resolution for one of the two rapidity regions is known.

  4. 4.

    The photon response is defined as the ratio of the photon \(p_T\) measured in the calorimeter and the true photon \(p_T\).

  5. 5.

    only available in MC comparison

References

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Doglioni, C. (2012). Jet Reconstruction Performance. In: Measurement of the Inclusive Jet Cross Section with the ATLAS Detector at the Large Hadron Collider. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30538-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-30538-2_5

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  • Print ISBN: 978-3-642-30537-5

  • Online ISBN: 978-3-642-30538-2

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