Pith Number

pith:ZUDYQOT7

pith:2025:ZUDYQOT7NRLIUZIPA35ROGCOD3

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Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints

Christian Biello, Colomba Brancaccio, Federico Ripani, Simon Badger

Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints.

arxiv:2511.11537 v2 · 2025-11-14 · hep-ph · hep-th

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\pithnumber{ZUDYQOT7NRLIUZIPA35ROGCOD3}

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Record completeness

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Claims

C1strongest claim

We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit... The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products.

C2weakest assumption

Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes.

C3one line summary

Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.

References

121 extracted · 121 resolved · 40 Pith anchors

[1] MHV Rules for Higgs Plus Multi-Gluon Amplitudes 2004 · arXiv:hep-th/0411092

[2] One-loop helicity amplitudes for H -> gluons: the all-minus configuration 2006 · arXiv:hep-ph/0607139

[3] Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes 2006 · arXiv:hep-ph/0608180

[4] One-loop phi-MHV amplitudes using the unitarity bootstrap 2007 · arXiv:0704.3914

[5] One-loop Higgs plus four gluon amplitudes: Full analytic results 2010 · arXiv:0909.4475

Formal links

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Cited by

2 papers in Pith

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

Pseudo-Evanescent Feynman Integrals from Local Subtraction

Receipt and verification

First computed	2026-05-17T23:39:00.760264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd07883a7f6c568a650f06fb17184e1ee245d87840d6668f1754bb73e5e5821a

Aliases

arxiv: 2511.11537 · arxiv_version: 2511.11537v2 · doi: 10.48550/arxiv.2511.11537 · pith_short_12: ZUDYQOT7NRLI · pith_short_16: ZUDYQOT7NRLIUZIP · pith_short_8: ZUDYQOT7

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZUDYQOT7NRLIUZIPA35ROGCOD3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cd07883a7f6c568a650f06fb17184e1ee245d87840d6668f1754bb73e5e5821a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5879d00cee31f12a131dc8336eea02d8bb7d799787287ad542c0edbd9bdf48",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-11-14T18:17:33Z",
    "title_canon_sha256": "8b83b1e9790ddad75b31889ad464426e92b200eda0cd0f9177a02b01c497dbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.11537",
    "kind": "arxiv",
    "version": 2
  }
}