Abstract
This chapter is dedicated to the specific applications of substructure techniques to discriminate quark-initiated jets from gluon-initiated jets. We begin with a brief discussion on how to tentatively define quark- and gluon-initiated jets. We then concentrate on two broad classes of observables: (i) shape observables like angularities or energy-correlation functions, and (ii) multiplicity-based observables like the iterated soft-drop multiplicity. In each case, we provide a basic analytic understanding of the tools based on the resummation techniques introduced in Chap. 4. We then discuss the key properties of the tools and assess their performance on Monte-Carlo simulations, highlighting the features which are reproduced by the simple analytic calculations.
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Notes
- 1.
In practice, this definition of \(R^{\prime }_{\text{mMDT/SD}}(v)\) introduces a discontinuity in the differential distribution at v = z cut. This discontinuity is strictly-speaking subleading and can be avoided by defining R′ using a finite-difference derivative: R′(v) = [R(ve − Δ) − R(v)]∕ Δ, with Δ a constant number, which respects NLL accuracy (see [50]). This is what we have done for the results presented below, using Δ = 0.5.
- 2.
- 3.
For multiplicity-based observables, we have interpolated linearly between the discrete multiplicities.
- 4.
In the case of ISD, we have applied mMDT recursively, giving a behaviour equivalent to using β = 0 and a k t cut as shown in the middle plot of Fig. 7.6.
- 5.
For the results of Fig. 7.12 we have simply interpolated between different points in the distribution.
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Marzani, S., Soyez, G., Spannowsky, M. (2019). Quark/Gluon Discrimination. In: Looking Inside Jets. Lecture Notes in Physics, vol 958. Springer, Cham. https://doi.org/10.1007/978-3-030-15709-8_7
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