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arxiv 1102.4344 v2 pith:D3XWXQT3 submitted 2011-02-21 hep-ph hep-exnucl-th

The Soft Function for Exclusive N-Jet Production at Hadron Colliders

Teppo T. Jouttenus , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn This is my paper
classification hep-ph hep-exnucl-th
keywords softfunctionboundariescrossintegralsn-jetn-jettinessorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the (transverse) mass of each jet, and compute the corresponding soft function at next-to-leading order (NLO). The ultraviolet divergences are analytically extracted by exploiting hemispheres for interactions between each pair of hard partons, leaving only convergent integrals that are sensitive to the precise boundaries. This method can be applied in general to N-jet soft functions, including other observables. For N-jettiness, the final result for the soft function involves stable one-dimensional numerical integrals, and all ingredients are now available to extend NLO cross sections to resummed predictions at next-to-next-to-leading logarithmic order.

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Cited by 3 Pith papers

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

  1. Single inclusive hadron and jet production in lepton-hadron scattering

    hep-ph 2026-07 conditional novelty 7.0

    Single inclusive high-PT hadron and jet production in lepton-hadron scattering is factorized using a joint QCD+QED approach with universal lepton distribution functions, and predictions are given for JLab and EIC energies.

  2. Centauric 1-Jettiness in DIS and Universal Power Corrections

    hep-ph 2026-06 unverdicted novelty 7.0

    Introduces Centauric 1-jettiness in DIS, derives N3LL resummation matched to NLO, and establishes universal non-perturbative power corrections scaling as 1/R via reduction to rescaled hemisphere soft function.

  3. Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics

    hep-ph 2025-12 unverdicted novelty 7.0

    A factorization theorem is derived for the joint measurement of 1-jettiness and jet charge in DIS, introducing a new universal charged jet function that enhances quark flavor separation in initial-state PDFs and probe...