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Joint resummation of two angularities at next-to-next-to-leading logarithmic order

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  • Published: 16 October 2018
  • Volume 2018, article number 98, (2018)
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Joint resummation of two angularities at next-to-next-to-leading logarithmic order
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  • Massimiliano Procura1,2,
  • Wouter J. Waalewijn3,4 &
  • Lisa Zeune4,5 

  • 403 Accesses

  • 32 Citations

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A preprint version of the article is available at arXiv.

Abstract

Multivariate analyses are emerging as important tools to understand properties of hadronic jets, which play a key role in the LHC experimental program. We take a first step towards precise and differential theory predictions, by calculating the cross section for e+e− → 2 jets differential in the angularities eα and eβ. The logarithms of eα and eβ in the cross section are jointly resummed to next-to-next-to-leading logarithmic accuracy, using the SCET+ framework we developed, and are matched to the next-to-leading order cross section. We perform analytic one-loop calculations that serve as input for our numerical analysis, provide controlled theory uncertainties, and compare our results to Pythia. We also obtain predictions for the cross section differential in the ratio eα/eβ , which cannot be determined from a fixed-order calculation. The effect of nonperturbative corrections is also investigated. Using Event2, we validate the logarithmic structure of the single angularity cross section predicted by factorization theorems at \( \mathcal{O}\left({\alpha}_s^2\right) \), highlighting the importance of recoil for specific angularities when using the thrust axis as compared to the winner-take-all axis.

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Authors and Affiliations

  1. CERN, 1 Esplanade des Particules, Geneva 23, Switzerland

    Massimiliano Procura

  2. Fakultät für Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Massimiliano Procura

  3. Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH, Amsterdam, The Netherlands

    Wouter J. Waalewijn

  4. Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands

    Wouter J. Waalewijn & Lisa Zeune

  5. PRISMA Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg University, Staudingerweg 9, 55128, Mainz, Germany

    Lisa Zeune

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  1. Massimiliano Procura
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  3. Lisa Zeune
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Correspondence to Lisa Zeune.

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ArXiv ePrint: 1806.10622

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Procura, M., Waalewijn, W.J. & Zeune, L. Joint resummation of two angularities at next-to-next-to-leading logarithmic order. J. High Energ. Phys. 2018, 98 (2018). https://doi.org/10.1007/JHEP10(2018)098

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  • Received: 04 July 2018

  • Revised: 17 September 2018

  • Accepted: 03 October 2018

  • Published: 16 October 2018

  • DOI: https://doi.org/10.1007/JHEP10(2018)098

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Keywords

  • Jets
  • QCD Phenomenology
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