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Parton fragmentation within an identified jet at NNLL

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Abstract

The fragmentation of a light parton i to a jet containing a light energetic hadron h, where the momentum fraction of this hadron as well as the invariant mass of the jet is measured, is described by “fragmenting jet functions”. We calculate the oneloop matching coefficients \( {\mathcal{J}_{ij}} \) that relate the fragmenting jet functions \( \mathcal{G}_i^h \) to the standard, unpolarized fragmentation functions D h j for quark and gluon jets. We perform this calculation using various IR regulators and show explicitly how the IR divergences cancel in the matching. We derive the relationship between the coefficients \( {\mathcal{J}_{ij}} \) and the quark and gluon jet functions. This provides a cross-check of our results. As an application we study the process e + e - → Xπ+ on the Υ(4S) resonance where we measure the momentum fraction of the π+ and restrict to the dijet limit by imposing a cut on thrust T. In our analysis we sum the logarithms of τ = 1-T in the cross section to next-to-next-to-leading-logarithmic accuracy (NNLL). We find that including contributions up to NNLL (or NLO) can have a large impact on extracting fragmentation functions from e + e - → dijet + h.

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Authors and Affiliations

  1. Department of Physics, Carnegie Mellon University, Pittsburgh, PA, 15213, U.S.A.

    Ambar Jain

  2. Physik-Department, Technische Universität München, D-85748, Garching, Germany

    Massimiliano Procura

  3. Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, CH-3012, Bern, Switzerland

    Massimiliano Procura

  4. Department of Physics, University of California at San Diego, La Jolla, CA, 92093, U.S.A.

    Wouter J. Waalewijn

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  1. Ambar Jain
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  2. Massimiliano Procura
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Correspondence to Massimiliano Procura.

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ArXiv ePrint:1101.4953

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Jain, A., Procura, M. & Waalewijn, W.J. Parton fragmentation within an identified jet at NNLL. J. High Energ. Phys. 2011, 35 (2011). https://doi.org/10.1007/JHEP05(2011)035

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