Pith. sign in

REVIEW 33 cited by

The Singular Behaviour of QCD Amplitudes at Two-loop Order

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-ph/9802439 v1 pith:G3PLRMRN submitted 1998-02-26 hep-ph

classification hep-ph
keywords amplitudescaseexplicitlygeneralorderpolestwo-loopbehaviour
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\bar q}$ pair.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 33 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 761 citations worldwide. Full citation record

  1. Bootstrapping two-loop six-gluon amplitudes in QCD

    hep-ph 2026-06 unverdicted novelty 8.0 of 10

    A symbol bootstrap using leading singularities determines the maximal-weight symbol of the planar two-loop six-gluon amplitude in massless QCD for MHV configurations.

  2. Analytic two-loop amplitudes for $q\bar{q}\to \gamma \gamma$ and $gg \to \gamma \gamma$ mediated by a heavy-quark loop

    hep-ph 2025-01 accept novelty 8.0 of 10

    The two-loop amplitudes for q qbar -> gamma gamma and gg -> gamma gamma with a heavy-quark loop are computed analytically in terms of elliptic iterated integrals, with validated fast series expansions for numerical ev...

  3. Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC

    hep-ph 2024-12 accept novelty 8.0 of 10

    First analytic full-color two-loop five-particle amplitudes for associated Higgs-plus-bottom-quark-pair production at the LHC, with public C++ implementation.

  4. Precise predictions for $t \bar t H$ production at the LHC: inclusive cross section and differential distributions

    hep-ph 2024-11 accept novelty 8.0 of 10

    First fully differential NNLO QCD predictions for ttH production at the LHC, with the missing two-loop virtual part estimated by two complementary approximations and merged with NLO electroweak corrections.

  5. Investigating the universality of five-point QCD scattering amplitudes at high energy

    hep-ph 2024-11 conditional novelty 8.0 of 10

    First extraction of the two-loop universal central-emission vertex in QCD and in N=4 super Yang-Mills from the multi-Regge limit of five-point amplitudes.

  6. Relating amplitude and PDF factorisation through Wilson-line geometries

    hep-ph 2019-09 conditional novelty 8.0 of 10

    The difference between form-factor and large-x PDF single-pole anomalous dimensions equals one quarter of the lightlike parallelogram Wilson-loop anomalous dimension, verified at two loops.

  7. Triple (and quadruple) soft-gluon radiation in QCD hard scattering

    hep-ph 2019-08 accept novelty 8.0 of 10

    The complete tree-level soft current for triple gluon emission is derived, revealing color quadrupole correlations that break Casimir scaling between quarks and gluons.

  8. Two-loop QCD amplitudes for $t\bar{t}W$ production at the LHC in the leading-colour approximation

    hep-ph 2026-08 conditional novelty 7.0 of 10

    First two-loop QCD hard functions for ttW production with exact top and W masses in leading colour, evaluated on a 224,640-point grid and cross-checked by an independent calculation.

  9. Electroweak corrections to Higgs boson pair production: The quark channel

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Mixed QCD-EW corrections to qqbar -> HH computed analytically via differential equations, matched to large-mass limit, implemented in POWHEG-BOX, showing up to +10% effect on invariant mass distribution near threshold.

  10. Walking Sudakov: From Cusp to Octagon

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates betwee...

  11. Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.

  12. Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes

    hep-ph 2026-03 accept novelty 7.0 of 10

    First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.

  13. QCD Scattering Amplitudes and Prescriptive Unitarity

    hep-th 2026-02 conditional novelty 7.0 of 10

    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

  14. Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC

    hep-ph 2025-11 unverdicted novelty 7.0 of 10

    Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.

  15. Two-loop helicity amplitudes for diphoton production with massive quark loop

    hep-ph 2025-02 conditional novelty 7.0 of 10

    Two-loop helicity amplitudes for diphoton production with a massive top quark loop are computed, providing new analytic results for gluon fusion and benchmark numbers for both channels.

  16. The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The leading-power mass logarithms in high-energy gg to HH are shown to originate solely from top-quark mass renormalization, enabling a resummation that sharply reduces the mass-scheme uncertainty of the virtual amplitude.

  17. NNLOCAL: completely local subtractions for color-singlet production in hadron collisions

    hep-ph 2024-12 conditional novelty 7.0 of 10

    NNLOCAL is the first public implementation of a completely local analytic NNLO subtraction scheme for hadron collisions, validated on gluon-only Higgs production.

  18. The Two-Loop Lipatov Vertex in QCD

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The two-loop Reggeon-gluon-Reggeon (Lipatov) vertex in QCD is determined in dimensional regularization through finite terms and expressed in single-valued polylogarithms.

  19. Collinear anatomy

    hep-th 2024-12 conditional novelty 7.0 of 10

    Derives a collinear factorization formula for near-mass-shell amplitudes in N=4 SYM, including a new ultrasoft correction to the one-loop splitting amplitude.

  20. Higgs boson production in association with massive bottom quarks at NNLO+PS

    hep-ph 2024-12 conditional novelty 7.0 of 10

    First NNLO+PS event generator for b-bbar-H production with massive bottom quarks in the four-flavour scheme, showing NNLO corrections resolve the 4FS/5FS tension.

  21. The Three-Point Energy Correlator in the Coplanar Limit

    hep-ph 2024-11 conditional novelty 7.0 of 10

    A new tau_p projection makes the coplanar limit of the three-point energy correlator a TMD-factorized trijet observable, resummed to N3LL, the first trijet event shape at this order.

  22. Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics

    hep-ph 2019-08 conditional novelty 7.0 of 10

    The thesis computes three-loop and two-loop QCD corrections to Higgs processes with full quark mass dependence, including a new analytic series-expansion treatment of elliptic two-loop master integrals for Higgs-plus-...

  23. A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons

    hep-ph 2019-06 unverdicted novelty 7.0 of 10

    First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.

  24. Finite-energy hard celestial current algebra from the Banerjee--Mandal--Sahoo dipole Ward identity in QED

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Determines the finite-energy one-loop soft-photon operator in QED, extracts a hard-hard residue in its commutator with Mellin-difference currents, and links it to a minimal filtered abelian extension and dipole-curren...

  25. Non-abelian soft radiation data for a celestial theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...

  26. General finite two-loop amplitude integrand for photoproduction in quark annihilation

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear si...

  27. Two-loop QCD corrections to $ZH$ and off-shell $Z$ boson pair production in gluon fusion

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper provides fast, analytic two-loop virtual QCD corrections for gluon-induced ZH and off-shell ZZ production with full top-quark mass dependence, validated against numerical results at the sub-percent level.

  28. Infrared singularities and the collinear limits of multi-leg scattering amplitudes

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...

  29. Rational QCD loop amplitudes and quantum theories on twistor space

    hep-th 2024-11 conditional novelty 6.0 of 10

    Twistor-space anomaly cancellation yields linear relations among all-plus and one-minus one-loop QCD gluon subamplitudes, and the number of independent amplitudes is the unsigned Stirling number c(n-1,3) for n up to 8.

  30. Three-loop form factors for Higgs boson pair production in the large top mass limit

    hep-ph 2019-09 accept novelty 6.0 of 10

    New 1/m_t^2 expansion terms, up to 1/m_t^8 for the box form factors and 1/m_t^14 for the triangle form factor, are computed for the three-loop gg to HH amplitude.

  31. Heavy-quark pair-production in DIS at NLO QCD matched to a parton shower

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    NLO QCD heavy-quark pair production in DIS matched to parton shower in POWHEG, gluon-initiated channel only, with virtual correction validation via massification.

  32. {\tt ggxy}: a flexible library to compute gluon-induced cross sections

    hep-ph 2025-06 accept novelty 4.0 of 10

    A new software library, ggxy, computes NLO QCD cross sections for gg to HH and reproduces previous exact results with much shorter runtimes.

  33. Perturbative QCD as a quantitative tool in the years 1976-2000

    physics.hist-ph 2026-06 unverdicted novelty 3.0 of 10

    Historical review tracing the evolution of precision perturbative QCD calculations and tools between 1976 and 2000.

Pith tools