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A positive-weight next-to-leading-order Monte Carlo simulation of deep inelastic scattering and Higgs boson production via vector–boson fusion in Herwig++

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Abstract

The positive weight next-to-leading-order matching formalism (POWHEG) is applied to Deep Inelastic Scattering (DIS) and the related Higgs boson production via vector–boson fusion process in the Herwig++ Monte Carlo event generator. This scheme combines parton shower simulation and next-to-leading-order calculation in a consistent way which only produces positive weight events. The simulation contains a full implementation of the truncated shower required to correctly model soft emissions in an angular-ordered parton shower.

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Notes

  1. See Ref. [25] for a recent review of the older techniques [26–43] and techniques for improving the simulation of multiple hard QCD radiation [44–54].

  2. There has also been some work combining either many NLO matrix elements [87] or the NLO matrix elements with subsequent emissions matched to leading-order matrix elements [88, 89] with the parton shower.

  3. We write the modified PDF for a quark q, but a similar expression is valid for an incoming antiquark \(\bar{q}\).

  4. Here \(\mathcal{R}_{i}\) defines a random number in [0,1].

  5. The agreement between the results of our simulation appears poor in the lowest x bin for Q 2=1200 GeV2 when compared to that in the original experimental paper. However, after careful comparison this appears to be an effect of integrating the result over the bin rather than using the result at the central value of the bin, integrating over a smaller region we obtain \(\tilde{\sigma} = 0.79\) for this bin in much better agreement with the experimental value.

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  1. Institut für Theoretische Physik, University of Karlsruhe, KIT, 76128, Karlsruhe, Germany

    Luca D’Errico

  2. Institute of Particle Physics Phenomenology, Department of Physics, University of Durham, DH1 3LE, Durham, UK

    Luca D’Errico & Peter Richardson

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D’Errico, L., Richardson, P. A positive-weight next-to-leading-order Monte Carlo simulation of deep inelastic scattering and Higgs boson production via vector–boson fusion in Herwig++. Eur. Phys. J. C 72, 2042 (2012). https://doi.org/10.1140/epjc/s10052-012-2042-x

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