Estimate of Γ(H → gg) at O(αs7) from Padé approximants with constraints from large-nf
Abstract
In this work we estimate the first unknown QCD correction to the decay of the Higgs boson into gluons, H→ gg, in the heavy-top limit using Padé approximants built to the perturbative series and to its Borel transform. In the process, we also obtain estimates for the first unknown coefficients of the QCD β function, of the QCD decoupling relation, and of the gluonium correlator. We also provide an updated prediction for the first unknown coefficient of Γ(H→ bb̅). We determine the polynomial dependence of the perturbative coefficients on the number of quark flavors, nf. We point out that the large-nf result for H→ gg can be obtained from results for the gluonium correlator already available in the literature. The coefficient of the highest power of nf is then imposed as a constraint and is also used as a new test to discard unreliable approximants. The method is validated through the postdiction of the last known coefficient of the series. Our model-independent estimate for the yet unknown coefficient of order αs7 of Γ(H→ gg) is −312± 15 (in the MS̅ scheme with μ=mH, where mH is the Higgs mass). With our estimate the residual renormalization-scale dependence of Γ(H→ gg) is reduced by a factor of almost 1.5.
Related
- Optical and Dynamical Signatures of Padé Approximated Wormholes in f(T) Gravity
- Ground-State Phase Diagram of the Effective Model with Antiferromagnetic Nearest-Neighbor and Ferromagnetic Next-Nearest-Neighbor Interactions in 1/1 Periodic Approximants to Icosahedral Quasicrystals
- Role of Gd 5d-Au 5d hybridization for the magnetic properties of Au-Al-Gd quasicrystal approximants
- Ground-state properties of uniaxial magnetic model for antiferromagnetic 1/1 periodic approximants to icosahedral quasicrystals
- Evaluating a Large Language Model for Radiotherapy Patient Scheduling under Realistic Clinical and Operational Constraints: a Feasibility Study
BibTeX
@misc{boito2026estimate,
title = {{Estimate of $Γ(H \to gg)$ at $O(α_s^7)$ from Padé approximants with constraints from large-$n_f$}},
author = {Diogo Boito and Cristiane Y. London and Guilherme A. Nogueira},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.09874},
eprint = {2610.09874},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.09874},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Estimate of Γ(H → gg) at O(α_s^7) from Padé approximants with constraints from large-n_f
AU - Diogo Boito
AU - Cristiane Y. London
AU - Guilherme A. Nogueira
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.09874
UR - https://arxiv.org/abs/2610.09874
AB - In this work we estimate the first unknown QCD correction to the decay of the Higgs boson into gluons, H→ gg, in the heavy-top limit using Padé approximants built to the perturbative series and to its Borel transform. In the process, we also obtain estimates for the first unknown coefficients of the QCD β function, of the QCD decoupling relation, and of the gluonium correlator. We also provide an updated prediction for the first unknown coefficient of Γ(H→ bb̅). We determine the polynomial dependence of the perturbative coefficients on the number of quark flavors, n_f. We point out that the large-n_f result for H→ gg can be obtained from results for the gluonium correlator already available in the literature. The coefficient of the highest power of n_f is then imposed as a constraint and is also used as a new test to discard unreliable approximants. The method is validated through the postdiction of the last known coefficient of the series. Our model-independent estimate for the yet unknown coefficient of order α_s^7 of Γ(H→ gg) is −312± 15 (in the MS̅ scheme with μ=m_H, where m_H is the Higgs mass). With our estimate the residual renormalization-scale dependence of Γ(H→ gg) is reduced by a factor of almost 1.5.
ER -