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Electroweak logarithms in inclusive cross sections

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  • Published: 22 August 2018
  • Volume 2018, article number 137, (2018)
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Electroweak logarithms in inclusive cross sections
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  • Aneesh V. Manohar1 &
  • Wouter J. Waalewijn  ORCID: orcid.org/0000-0001-5739-46272,3 

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A preprint version of the article is available at arXiv.

Abstract

We develop the framework to perform all-orders resummation of electroweak logarithms of Q/M for inclusive scattering processes at energies Q much above the electroweak scale M. We calculate all ingredients needed at next-to-leading logarithmic (NLL) order and provide an explicit recipe to implement this for 2 → 2 processes. PDF evolution including electroweak corrections, which lead to Sudakov double logarithms, is computed. If only the invariant mass of the final state is measured, all electroweak logarithms can be resummed by the PDF evolution, at least to LL. However, simply identifying a lepton in the final state requires the corresponding fragmentation function and introduces angular dependence through the exchange of soft gauge bosons. Furthermore, we show the importance of polarization effects for gauge bosons, due to the chiral nature of SU(2) — even the gluon distribution in an unpolarized proton becomes polarized at high scales due to electroweak effects. We justify our approach with a factorization analysis, finding that the objects entering the factorization theorem do not need to be SU(2) × U(1) gauge singlets, even though we perform the factorization and resummation in the symmetric phase. We also discuss a range of extensions, including jets and how to calculate the EW logarithms when you are fully exclusive in the central (detector) region and fully inclusive in the forward (beam) regions.

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Authors and Affiliations

  1. Department of Physics, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, U.S.A.

    Aneesh V. Manohar

  2. 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

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

    Wouter J. Waalewijn

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Correspondence to Wouter J. Waalewijn.

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ArXiv ePrint: 1802.08687

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Manohar, A.V., Waalewijn, W.J. Electroweak logarithms in inclusive cross sections. J. High Energ. Phys. 2018, 137 (2018). https://doi.org/10.1007/JHEP08(2018)137

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  • Received: 10 April 2018

  • Revised: 18 July 2018

  • Accepted: 30 July 2018

  • Published: 22 August 2018

  • DOI: https://doi.org/10.1007/JHEP08(2018)137

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Keywords

  • Deep Inelastic Scattering (Phenomenology)
  • Jets
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