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$N$-jettiness soft function at next-to-next-to-leading order in perturbative QCD

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arxiv 2403.03078 v1 pith:6PPBAHDB submitted 2024-03-05 hep-ph

Prem Agarwal , Kirill Melnikov , Ivan Pedron This is my paper · ORCID
classification hep-ph
keywords functionsoftcollinearinfraredjettinessnext-to-next-to-leadingorderperturbative
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We derive a compact representation of the renormalized $N$-jettiness soft function that is free of infrared and collinear divergences through next-to-next-to-leading order in perturbative QCD. The number of hard partons $N$ is a parameter in the formula for the finite remainder. Cancellation of all infrared and collinear singularities between the bare soft function and its renormalization matrix in color space is demonstrated analytically.

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Cited by 4 Pith papers

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

  1. The Quark Jet Function for $k_T$-like Variables in NNLO QCD

    hep-ph 2025-08 conditional novelty 6.0 of 10

    The authors compute the quark jet function at next-to-next-to-leading order in QCD for a class of kT-like resolution variables, giving explicit numerical coefficients for a y23 variant in the E-scheme and WTA scheme.

  2. Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle

    hep-ph 2025-04 accept novelty 6.0 of 10

    The integrated double-soft eikonal function for a massive and a massless emitter at arbitrary angle is derived analytically and cross-checked with a semi-numerical subtraction method.

  3. 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.

  4. 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.

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