Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909042685771776 |
|---|---|
| author | Badger, Simon Biello, Christian Brancaccio, Colomba Ripani, Federico |
| author_facet | Badger, Simon Biello, Christian Brancaccio, Colomba Ripani, Federico |
| contents | 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. 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. The remaining rational function ambiguity is extracted from a tensor integral reduction over finite fields. The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints Badger, Simon Biello, Christian Brancaccio, Colomba Ripani, Federico High Energy Physics - Phenomenology High Energy Physics - Theory 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. 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. The remaining rational function ambiguity is extracted from a tensor integral reduction over finite fields. The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products. |
| title | Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.11537 |