Pith. sign in

REVIEW 6 cited by

One-loop hexagon integral to higher orders in the dimensional regulator

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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 2210.13505 v1 pith:H5DFWIOT submitted 2022-10-24 hep-th hep-ph

Johannes M. Henn , Antonela Matijašić , Julian Miczajka This is my paper
classification hep-thhep-ph
keywords one-loopdimensionalintegraltwo-loopamplitudefunctionhexagonhigher
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general $D$-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude applications. We also study in detail the difference between the conventional dimensional regularization and the four-dimensional helicity scheme at the level of the master integrals and their function space.

Discussion (0). Sign in to comment.

Forward citations

Cited by 6 Pith papers

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

  1. Recursive construction of scalar one-loop integrals in dimensional regularisation

    hep-th 2026-07 conditional novelty 8.0 of 10

    A recursion based on hyperbolic simplex volumes expresses every epsilon-expansion coefficient of scalar one-loop Feynman integrals in terms of multiple polylogarithms.

  2. Pseudo-Evanescent Feynman Integrals from Local Subtraction

    hep-th 2026-05 conditional novelty 7.0 of 10

    Local subtraction reduces pseudo-evanescent Feynman integrals to products of one-loop integrals or one-fold integrals, with the finite part of the two-loop all-plus five-point amplitude arising solely from ultraviolet...

  3. Next-to-next-to-next-to-leading order QCD corrections to photon-pair production

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    N³LO QCD predictions for photon-pair production are presented, demonstrating perturbative convergence.

  4. 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.

  5. Geometric Landau Analysis and Symbol Bootstrap

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

  6. Novel cluster-algebraic letters for 5- and 6-point QCD processes

    hep-th 2026-03 conditional novelty 6.0 of 10

    Candidate symbol alphabets for 5- and 6-point QCD processes are derived from the 9-particle N=4 super Yang-Mills cluster algebra, including new nested square-root letters.

Pith tools