Abstract

We present a new model for the hadronisation of multi-parton systems, in which colour correlations beyond leading $N_C$ are allowed to influence the formation of confining potentials (strings). The multiplet structure of $SU(3)$ is combined with a minimisation of the string potential energy, to decide between which partons strings should form, allowing also for "baryonic" configurations (e.g., two colours can combine coherently to form an anticolour). In $e^+e^-$collisions, modifications to the leading-colour picture are small, suppressed by both colour and kinematics factors. But in $pp$ collisions, multi-parton interactions increase the number of possible subleading connections, counteracting their naive $1/N_C^2$ suppression. Moreover, those that reduce the overall string lengths are kinematically favoured. The model, which we have implemented in the PYTHIA 8 generator, is capable of reaching agreement not only with the important $\left<p_\perp\right>(n_\mathrm{charged})$ distribution but also with measured rates (and ratios) of kaons and hyperons, in both $ee$ and $pp$ collisions. Nonetheless, the shape of their $p_\perp$ spectra remains challenging to explain.

Highlights

  • To describe the full event structure, several additional soft-physics effects must be accounted for, such as hadronisation, multiple parton interactions (MPI), Bose-Einstein correlation effects, and beam remnants

  • The question of colour reconnections (CR) — broadly, whether other string topologies than the LC one could lead to non-negligible corrections with respect to the LC picture — was studied at LEP [35,36,37,38,39,40,41,42], in the context of CR uncertainties on W mass determinations in ee → W W [43], with conclusion that excluded the very aggressive models and disfavoured the no CR scenario at 2.8 standard deviation [44]

  • For the models/tunes considered in this work, the resulting shift on the calibrated top mass is below 200 MeV, which is comparable with the current level of CR uncertainty on the measurements [58, 59, 63, 64] and far below some of the “devil’s-advocate” toy models considered in [71]

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Summary

The model

We present the colour-space model that we have developed, which allows strings to form between LC-connected partons, and between specific non-LCconnected ones, following combination rules that approximate the multiplet structure of full-colour QCD. The subleadingcolour effects we discuss here arise naturally in “full-colour” SU(3) and do not involve any physical exchange of colour or momentum ( explicit algorithms may still employ an iterative-reconnection scheme to find the potential-energy minimum). The term colour reconnections should be reserved to describe effects related to dynamical reconfigurations of the colour/string space that involve explicit exchange of colours and momentum, via perturbative gluon exchanges or non-perturbative string interactions. Effects of this type are not explored directly in this work, instead we refer the interested reader to the SK string-interaction models presented in [43, 66, 67]. We follow the entrenched convention in the field and use the acronym “CR” for effects of either kind here

Existing MPI models and colour space
Beyond leading colour
The new model
Colour flow in the beam remnant
Colour flow in the whole event
Hadronisation of multi-junction systems
Space-time structure
Constraints and tuning
Lepton colliders
Hadron colliders
Direct CR constraints?
Suggestions for new observables
Application to top mass measurements at hadron colliders
Summary and outlook
A Model parameters
Full Text
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