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The Gluon Beam Function at Two Loops

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arxiv 1405.1044 v2 pith:JOK7OWRZ submitted 2014-05-05 hep-ph

Jonathan Gaunt , Maximilian Stahlhofen , Frank J. Tackmann This is my paper · ORCID
classification hep-ph
keywords beamfunctionordergluonnnloresultsfunctionsmatching
verification ladder T0 review T1 audit T2 compute T3 formal

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The virtuality-dependent beam function is a universal ingredient in the resummation for observables probing the virtuality of incoming partons, including N-jettiness and beam thrust. We compute the gluon beam function at two-loop order. Together with our previous results for the two-loop quark beam function, this completes the full set of virtuality-dependent beam functions at next-to-next-to-leading order (NNLO). Our results are required to account for all collinear ISR effects to the N-jettiness event shape through N^3LL order. We present numerical results for both the quark and gluon beam functions up to NNLO and N^3LL order. Numerically, the NNLO matching corrections are important. They reduce the residual matching scale dependence in the resummed beam function by about a factor of two.

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Forward citations

Cited by 6 Pith papers

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

  1. A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N$^3$LO

    hep-ph 2019-09 conditional novelty 8.0 of 10

    The paper provides the complete three-loop singular subtraction terms for qT and 0-jettiness and derives the first threshold predictions for the three-loop beam-function coefficients, later confirmed by direct calculation.

  2. Generalized Threshold Factorization with Full Collinear Dynamics

    hep-ph 2019-08 accept novelty 8.0 of 10

    The authors derive a generalized threshold factorization theorem for color-singlet hadron-collider processes, valid when only one parton is at large x, and show it outperforms soft threshold factorization.

  3. First constraints on the nonperturbative gluon Collins-Soper kernel

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    First lattice-QCD constraints on the nonperturbative gluon Collins-Soper kernel are obtained at near-physical pion mass with uNNLL LaMET matching on a single a=0.15 fm ensemble.

  4. Region analysis of $H\to \gamma \gamma $ via a bottom quark loop

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A two-loop region analysis of H to gamma gamma via a bottom quark loop shows that with a Delta regulator and a transverse momentum cut, the leading and next-to-leading logarithms come entirely from the soft sector.

  5. Triple real-emission contribution to the zero-jettiness soft function at N3LO in QCD

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The paper provides the technical derivation and cross-checks of the triple-real-emission piece of the N3LO zero-jettiness soft function, confirming the result announced in arXiv:2409.11042.

  6. Higgsstrahlung at NNLL$'+$NNLO Matched to Parton Showers in GENEVA

    hep-ph 2019-09 conditional novelty 5.0 of 10

    GENEVA now generates Higgsstrahlung events at NNLO accuracy matched with NNLL' beam-thrust resummation and parton showers, validated against Matrix for the 13 TeV LHC.

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