Abstract

We present a next-to-leading order (NLO) calculation of $t\bar{t}$ production in hadronic collisions interfaced to shower generators according to the POWHEG method. We start from an NLO result from previous work, obtained in the zero width limit, where radiative corrections to both production and decays are included. The POWHEG interface required an extension of the POWHEG BOX framework, in order to deal with radiation from the decay of resonances. This extension is fully general (i.e. it can be applied in principle to any process considered in the zero width limit), and is here applied for the first time. In order to perform a realistic simulation, we introduce finite width effects using different approximations, that we validated by comparing with published exact NLO results. We have interfaced our POWHEG code to the PYTHIA8 shower Monte Carlo generator. At this stage, we dealt with novel issues related to the treatment of resonances, especially with regard to the initial scale for the shower that needs to be set appropriately. This procedure affects, for example, the fragmentation function of the b quark, that we have studied with particular attention. We believe that the tool presented here improves over previous generators for all aspects that have to do with top decays, and especially for the study of issues related to top mass measurements that involve B hadrons or b jets. The work presented here also constitutes a first step towards a fully consistent matching of NLO calculations involving intermediate resonances decaying into coloured particles, with parton showers.

Highlights

  • In refs. [22,23,24], next-to-leading order (NLO) radiative corrections to production and decay have been computed

  • We present a next-to-leading order (NLO) calculation of ttproduction in hadronic collisions interfaced to shower generators according to the POWHEG method

  • We use the MSTW2008 parton distribution set [40] at LO/NLO order, and for the results presented we evaluate the strong coupling constant using the corresponding LHAPDF subroutine

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Summary

Resonance decay in POWHEG BOX V2

The POWHEG BOX V2 framework includes the possibility of implementing radiative corrections to both production and resonance decays. The implementation is fully automatic as far as the NLO calculation and its interface to a shower is concerned, consistent with the general aim of the POWHEG BOX package It requires external input as far as the Born phase space and the Born, virtual and real matrix elements. Like the generation of an appropriate real radiation phase space, the soft and collinear limits and the integral of the soft corrections in case of resonance decays, are handled internally by the POWHEG BOX V2. The kinematics for the mapping of the real phase space to an underlying Born configuration departs from the one described in the POWHEG BOX [35] when radiation from resonance decays are concerned. The soft corrections, arising from the production process, are instead computed treating the resonances as final state particles

NLO matrix elements
Finite width and interference effects
Les Houches event generation and interfacing to a shower
Comparison with existing results
Modelling of offshellness and interference effects at fixed-order
POWHEG results
Comparison of on-shell vs off-shell results
Impact of different options on off-shell results
Comparison with the previous POWHEG generator
Conclusions
A Interface to PYTHIA8
PYTHIA8 and scalup settings
Findings
Implementation of the radiation vetos in resonance decays
Full Text
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