Matching Hadronization and Perturbative Evolution: The Cluster Model in Light of Infrared Shower Cutoff Dependence
arxiv(2024)
摘要
In the context of Monte Carlo (MC) generators with parton showers that have
next-to-leading-logarithmic (NLL) precision, the cutoff Q_0 terminating the
shower evolution should be viewed as an infrared factorization scale so that
parameters or non-perturbative effects of the MC generator may have a field
theoretic interpretation with a controllable scheme dependence. This implies
that the generator's parton level should be carefully defined within QCD
perturbation theory with subleading order precision. Furthermore, it entails
that the shower cut Q_0 is not treated as one of the generator's tuning
parameters, but that the tuning can be carried out reliably for a range of
Q_0 values and that the hadron level description is Q_0-invariant. This in
turn imposes non-trival constraints on the behavior of the generator's
hadronization model, so that its parameters can adapt accordingly when the
Q_0 value is changed. We investigate these features using the angular ordered
parton shower and the cluster hadronization model implemented in the Herwig 7.2
MC generator focusing in particular on the e^+e^- 2-jettiness distribution,
where the shower is known to be NLL precise and where QCD factorization imposes
stringent constraints on the hadronization corrections. We show that the Herwig
default cluster hadronization model does not exhibit these features or
consistency with QCD factorization with a satisfying precision. We design a
modification of the cluster hadronization model, where some dynamical parton
shower aspects are added that are missing in the default model. For this novel
dynamical cluster hadronization model these features and consistency with QCD
factorization are realized much more accurately.
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