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PreprintCC BY 4.0arXiv

tt̅ spin correlations from toponium production scenarios to non-relativistic resummation beyond the standard perturbative baseline

Abstract

tt̅ spin correlations originating from theoretical models assuming on one side toponium bound state formation in proton-proton collisions at 13 TeV are compared against predictions from non-relativistic QCD ressumation effects via Green's function formalism that go beyond the perturbative tt̅ baseline with no bound state but could justify extra yield of events in the tt̅ mass spectrum recently observed by ATLAS and CMS Collaborations, still awaiting an explanation. Toponium production comprises two scenarios, a simplified Effective Field Theory (EFT) with ηt→ tt̅ decays and an additional model with scalar and vector toponium states with ηt→ HZ and Jt→ ZW+W- decays. Experimental measurements on tt̅ system are added to the comparisons. Fitted diagonal spin correlation Ckk, Crr, Cnn matrix terms show a relative increase in value ranging from 200%-2330% for toponium tt̅ decays with respect the perturbative NLO baseline. Relative contribution from resummation effect ranges from 0.6% to 10.4% and its combination with perturbative baseline improves agreement with Data distributions, with χ2/Ndof value reduced by ∼4.5%-60.0% . Equivalent fitted cross-section for resummation effect σres, ranges from 7.3 to 9.1 pb in consistency with excess yield reported by LHC experiments. σres > 50 pb range is excluded at 95% C.L. A classifier performing at detector level achieves a ROC curve area of $0.91$ leading to toponium signal to background significances over 55. These results indicate that efficient isolation of observed tt̅ excess events from background is feasible and a characterisation via spin correlation measurements would reveal their consistency with either toponium production or non-relativistic effects beyond the perturbative baseline.

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BibTeX
@misc{rodriguez2026spin,
  title = {{$t\bart$ spin correlations from toponium production scenarios to non-relativistic resummation beyond the standard perturbative baseline}},
  author = {A. Cota Rodríguez and Jesús A. V. Corral and A. Paredes Sotelo and J. A. Murillo Quijada},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36369},
  eprint = {2609.36369},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36369},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - tt̅ spin correlations from toponium production scenarios to non-relativistic resummation beyond the standard perturbative baseline
AU  - A. Cota Rodríguez
AU  - Jesús A. V. Corral
AU  - A. Paredes Sotelo
AU  - J. A. Murillo Quijada
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.36369
UR  - https://arxiv.org/abs/2609.36369
AB  - tt̅ spin correlations originating from theoretical models assuming on one side toponium bound state formation in proton-proton collisions at 13 TeV are compared against predictions from non-relativistic QCD ressumation effects via Green's function formalism that go beyond the perturbative tt̅ baseline with no bound state but could justify extra yield of events in the tt̅ mass spectrum recently observed by ATLAS and CMS Collaborations, still awaiting an explanation. Toponium production comprises two scenarios, a simplified Effective Field Theory (EFT) with η_t→ tt̅ decays and an additional model with scalar and vector toponium states with η_t→ HZ and J_t→ ZW^+W^- decays. Experimental measurements on tt̅ system are added to the comparisons. Fitted diagonal spin correlation C_kk, C_rr, C_nn matrix terms show a relative increase in value ranging from 200%-2330% for toponium tt̅ decays with respect the perturbative NLO baseline. Relative contribution from resummation effect ranges from 0.6% to 10.4% and its combination with perturbative baseline improves agreement with Data distributions, with χ^2/N_dof value reduced by ∼4.5%-60.0% . Equivalent fitted cross-section for resummation effect σ_res, ranges from 7.3 to 9.1 pb in consistency with excess yield reported by LHC experiments. σ_res > 50 pb range is excluded at 95% C.L. A classifier performing at detector level achieves a ROC curve area of $0.91$ leading to toponium signal to background significances over 55. These results indicate that efficient isolation of observed tt̅ excess events from background is feasible and a characterisation via spin correlation measurements would reveal their consistency with either toponium production or non-relativistic effects beyond the perturbative baseline.
ER  -