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PreprintCC BY 4.0arXiv

Two-loop helicity amplitudes for gg→ W+W- using high-energy and forward expansions

  • Mateusz Czaja
  • Ben Rott
  • Matthias Steinhauser
  • Daniel Stremmer
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Abstract

We calculate next-to-leading order QCD corrections for the process gg → W+W- with two off-shell W bosons, accounting for virtual top quarks in the loop diagrams. Our approach relies on combining expansions valid in different regions of phase space. Specifically, we perform a high-energy expansion in which the Mandelstam variables are much larger than the top-quark mass. Furthermore, we expand around the forward-scattering limit, where the Mandelstam variable t is small. We also provide an expansion for large top-quark mass, which serves as an important cross-check. We provide technical details regarding the various expansions and demonstrate that precise results are obtained for all helicity amplitudes across the entire phase space. Our results exhibit an explicit dependence on all input parameters.

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Cite

BibTeXRIS
BibTeX
@misc{czaja2026twoloop,
  title = {{Two-loop helicity amplitudes for $gg\to W^+W^-$ using high-energy and forward expansions}},
  author = {Mateusz Czaja and Ben Rott and Matthias Steinhauser and Daniel Stremmer},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27092},
  eprint = {2610.27092},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27092},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Two-loop helicity amplitudes for gg→ W^+W^- using high-energy and forward expansions
AU  - Mateusz Czaja
AU  - Ben Rott
AU  - Matthias Steinhauser
AU  - Daniel Stremmer
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.27092
UR  - https://arxiv.org/abs/2610.27092
AB  - We calculate next-to-leading order QCD corrections for the process gg → W^+W^- with two off-shell W bosons, accounting for virtual top quarks in the loop diagrams. Our approach relies on combining expansions valid in different regions of phase space. Specifically, we perform a high-energy expansion in which the Mandelstam variables are much larger than the top-quark mass. Furthermore, we expand around the forward-scattering limit, where the Mandelstam variable t is small. We also provide an expansion for large top-quark mass, which serves as an important cross-check. We provide technical details regarding the various expansions and demonstrate that precise results are obtained for all helicity amplitudes across the entire phase space. Our results exhibit an explicit dependence on all input parameters.
ER  -