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Matching and event-shape NNDL accuracy in parton showers
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Matching and event-shape NNDL accuracy in parton showers
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To explore the interplay of NLO matching and next-to-leading logarithmic (NLL) parton showers, we consider the simplest case of $\gamma^*$ and Higgs-boson decays to $q\bar q$ and $gg$ respectively. Not only should shower NLL accuracy be retained across observables after matching, but for global event-shape observables and the two-jet rate, matching can augment the shower in such a way that it additionally achieves next-to-next-to-double-logarithmic (NNDL) accuracy, a first step on the route towards general NNLL. As a proof-of-concept exploration of this question, we consider direct application of multiplicative matrix-element corrections, as well as simple implementations of MC@NLO and POWHEG-style matching. We find that the first two straightforwardly bring NNDL accuracy, and that this can also be achieved with POWHEG, although particular care is needed in the handover between POWHEG and the shower. Our study involves both analytic and numerical components and we also touch on some phenomenological considerations.
Forward citations
Cited by 4 Pith papers
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Implementing improved logarithmic accuracy parton showers in Herwig reveals that differences in infrared cutoffs have important effects on hadron-level predictions and tunability.
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Studying the Infrared Behaviour of Improved Logarithmic Accuracy Parton Showers with Herwig
Implementation of two NLL-accurate dipole showers in Herwig shows that differences in infrared cutoffs produce noticeable effects at the hadron level and affect model tunability.
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