Abstract
Jet pull is an observable designed to probe colour flow between jets. Thus far, a particular projection of the pull vector, the pull angle, has been employed to distinguish colour flow between jets produced by a colour singlet or an octet decay. This is of particular importance in order to separate the decay of a Higgs boson to a pair of bottom quarks from the QCD background. However, the pull angle is not infra-red and collinear (IRC) safe. In this paper we introduce IRC safe projections of the pull vector that exhibit good sensitivity to colour flow, while maintaining calculability. We calculate these distributions to next-to- leading logarithmic accuracy, in the context of the hadronic decay of a Higgs boson, and compare these results to Monte Carlo simulations. This study allows us to define an IRC safe version of the pull angle in terms of asymmetry distributions. Furthermore, because of their sensitivity to wide-angle soft radiation, we anticipate that these asymmetries can play an important role in assessing subleading colour correlations and their modelling in general-purpose Monte Carlo parton showers.
Highlights
Discuss observables that by measuring QCD radiation in a signal event, provide us with information on the properties of the particle we are studying
A particular projection of the pull vector, the pull angle, has been employed to distinguish colour flow between jets produced by a colour singlet or an octet decay
While infra-red and collinear (IRC) safety ensures the presence of a kinematical region where non-perturbative effects are genuine power corrections, no such guarantee exists for Sudakov-safe observables and nonperturbative physics can contribute to the observable as an order-one effect
Summary
As suggested in the original publication, pull can provide a valuable handle in distinguishing the above production of a Higgs boson from the dominant QCD background ( g → bb) This measurement can be performed in the boosted regime, where the decay products are reconstructed into a single two-pronged jet. The hadronic decay of the Z boson and measure colour flow between two jets (or subjets, if considering the boosted regime) originating from a colour singlet This situation is very much analogous to what we discuss in this current work, but it features a higher rate at the LHC. Studies of colour flow in this context would provide a useful testing ground for an even more interesting Higgs and new physics programme
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