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PreprintarXiv licencearXiv

Automated two-loop fermion-bubble contributions at high multiplicity

Abstract

We compute the gauge-invariant, helicity-summed two-loop Nf contribution for qq̅→ nγ(*), n=2,…,8. Local ultraviolet renormalisation, infrared factorisation, analytic loop-energy integration and a new automated threshold subtraction yield finite integrals over real spatial momenta. Adaptive multi-channel Monte Carlo samples loop momenta, helicities and identical-particle permutations. We quantify generation and evaluation costs across multiplicities. The same representation is integrated directly with parton distributions through five photons, yielding inclusive and differential virtual corrections.

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BibTeX
@misc{kermanschah2026automated,
  title = {{Automated two-loop fermion-bubble contributions at high multiplicity}},
  author = {Dario Kermanschah},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35655},
  eprint = {2610.35655},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35655},
}
RIS
TY  - UNPB
TI  - Automated two-loop fermion-bubble contributions at high multiplicity
AU  - Dario Kermanschah
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35655
UR  - https://arxiv.org/abs/2610.35655
AB  - We compute the gauge-invariant, helicity-summed two-loop N_f contribution for qq̅→ nγ^(*), n=2,…,8. Local ultraviolet renormalisation, infrared factorisation, analytic loop-energy integration and a new automated threshold subtraction yield finite integrals over real spatial momenta. Adaptive multi-channel Monte Carlo samples loop momenta, helicities and identical-particle permutations. We quantify generation and evaluation costs across multiplicities. The same representation is integrated directly with parton distributions through five photons, yielding inclusive and differential virtual corrections.
ER  -