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The Jet Shape at NLL$'$

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arxiv 1901.06389 v2 pith:PJZFRZNB submitted 2019-01-18 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords shapelogarithmsaccuracyaxiscalculationnext-to-leadingradiationaccount
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The jet shape is the fraction of the jet energy within a cone $r$ centered on the jet axis. We calculate the jet shape distribution at next-to-leading logarithmic accuracy plus next-to-leading order (NLL$'$), accounting for logarithms of both the jet radius $R$ and the ratio $r/R$. This is the first phenomenological study that takes the recoil of the jet axis due to soft radiation into account, which is needed to reach this accuracy, but complicates the calculation of collinear radiation and requires the treatment of rapidity logarithms and non-global logarithms. We present numerical results, finding good agreement with ATLAS and CMS measurements of the jet shape in an inclusive jet sample, $pp \to {\rm jet}+X$, for different kinematic bins. The effect of the underlying event and hadronization are included using a simple one-parameter model, since they are not part of our perturbative calculation.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Photon-Tagged Energy Flow in Inclusive Endpoint $B$ Decays

    hep-ph 2026-07 accept novelty 7.0 of 10

    A new photon-tagged angular energy correlator in inclusive B→X_sγ factorizes at leading power into the standard shape function and a newly computed measured jet function, enabling angular tests of endpoint factorization.

  2. Putting Jet Substructure on Track(s)

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    First complete NLL calculations of projected energy correlators (up to 4-point) on tracks via factorization theorems and RG evolution, extending prior full-jet results.

  3. Anisotropic jet broadening and jet shape

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The paper introduces azimuthal-dependent jet broadening and jet shape observables, calculates their jet functions in SCET for standard and Winner-Take-All axes, and shows the broadening can directly probe the collinea...

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