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Non-global structure of the \( \mathcal{O}\left( {\alpha_s^2} \right) \) dijet soft function

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An Erratum to this article was published on 16 October 2017

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Abstract

High energy scattering processes involving jets generically involve matrix elements of light-like Wilson lines, known as soft functions. These describe the structure of soft contributions to observables and encode color and kinematic correlations between jets. We compute the dijet soft function to \( \mathcal{O}\left( {\alpha_s^2} \right) \) as a function of the two jet invariant masses, focusing on terms that have a non-separable dependence on these masses and are not determined by the renormalization group evolution of the soft function. Our results include non-global single and double logarithms, and analytic results for the full set of non-logarithmic contributions as well. Using a recent result for the thrust constant, we present the complete \( \mathcal{O}\left( {\alpha_s^2} \right) \) soft function for dijet production in both position and momentum space.

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  • 16 October 2017

    An erratum to this article has been published.

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Authors and Affiliations

  1. Department of Physics, University of Washington, Box 351560, Seattle, WA, 98195, U.S.A.

    Andrew Hornig

  2. Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA, 02139, U.S.A.

    Christopher Lee & Iain W. Stewart

  3. Center for the Fundamental Laws of Nature, Harvard University, 17 Oxford Street, Cambridge, MA, 02138, U.S.A.

    Iain W. Stewart

  4. Theoretical Physics Group, Ernest Orlando Lawrence Berkeley National Laboratory, 1 Cyclotron Rd., Berkeley, CA, 94720, U.S.A.

    Jonathan R. Walsh & Saba Zuberi

  5. Center for Theoretical Physics, University of California, 366 LeConte Hall 7300, Berkeley, CA, 94720, U.S.A.

    Jonathan R. Walsh & Saba Zuberi

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  1. Andrew Hornig
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  2. Christopher Lee
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  3. Iain W. Stewart
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  4. Jonathan R. Walsh
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  5. Saba Zuberi
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Correspondence to Christopher Lee.

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ArXiv ePrint: 1105.4628

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Hornig, A., Lee, C., Stewart, I.W. et al. Non-global structure of the \( \mathcal{O}\left( {\alpha_s^2} \right) \) dijet soft function. J. High Energ. Phys. 2011, 54 (2011). https://doi.org/10.1007/JHEP08(2011)054

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